Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds | Paper Citation Record

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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This paper cites Ahlfors, Complex Analysis , Third Edition, McGraw-Hill, 1979.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Ahlfors, Complex Analysis , Third Edition, McGraw-Hill, 1979

Reference 2

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This paper cites Artin, Galois theory , Notre Dame Univ., Indiana, 1942.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Artin, Galois theory , Notre Dame Univ., Indiana, 1942

Reference 3

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This paper cites Avramidi, Matrix general relativity: a new look at old problems , Class.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Avramidi, Matrix general relativity: a new look at old problems , Class

Reference 4

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This paper cites Avramidi, Gauged gravity via spectral asymptotics of non-Laplace typ e operators , J.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Avramidi, Gauged gravity via spectral asymptotics of non-Laplace typ e operators , J

Reference 5

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This paper cites Avramidi, Non-Laplace type operators on manifolds with boundary , Analysis, geometry and topology of elliptic operators, W orld Sci.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Avramidi, Non-Laplace type operators on manifolds with boundary , Analysis, geometry and topology of elliptic operators, W orld Sci

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This paper cites Bantle, Eﬀecient implementation of the collocation method for the N avier-Lam´ e equation, June 2010.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Bantle, Eﬀecient implementation of the collocation method for the N avier-Lam´ e equation, June 2010

Reference 7

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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This paper cites Bhatia and P.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Bhatia and P

Reference 9

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This paper cites Branson, P.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Branson, P

Reference 10

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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This paper cites Courant and D.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Courant and D

Reference 14

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This paper cites Duduchava, D.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Duduchava, D

Reference 15

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This paper cites Duistermaat and V.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Duistermaat and V

Reference 16

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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This paper cites Friedman, Partial Diferential Equations of Parabolic Type , Prentice Hall, Englewood Cliﬀs, NJ, 1964.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Friedman, Partial Diferential Equations of Parabolic Type , Prentice Hall, Englewood Cliﬀs, NJ, 1964

Reference 19

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 21

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Observation 9d534217-7792-491e-b94b-8ed9e597a9b6 · outbound

This paper cites Gilkey, Recursion relations and the asymptotic behavior of the eige nvalues of the Laplacian , Compositio Math., 38(1979), 201-240.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Gilkey, Recursion relations and the asymptotic behavior of the eige nvalues of the Laplacian , Compositio Math., 38(1979), 201-240

Reference 22

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This paper cites Gilkey, The spectral geometry of a Riemannian manifold , J.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Gilkey, The spectral geometry of a Riemannian manifold , J

Reference 23

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This paper cites Gilkey, Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem , CRC Press, Boca Raton, 1995.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Gilkey, Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem , CRC Press, Boca Raton, 1995

Reference 24

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Observation 7ab82646-5da3-409c-945d-d3940d4bc4bb · outbound

This paper cites Greiner, An asymptotic expansion for the heat equation , Arch.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Greiner, An asymptotic expansion for the heat equation , Arch

Reference 25

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This paper cites Grubb, Functional Calculus of Pseudo-diﬀerential Boundary Probl ems, Birkh¨ auser, Boston, 1986.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Grubb, Functional Calculus of Pseudo-diﬀerential Boundary Probl ems, Birkh¨ auser, Boston, 1986

Reference 26

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This paper cites Grubb, Distributions and Operators , Graduate Texts in Mathematics, vol.252, Springer, New Yor k, 2009.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Grubb, Distributions and Operators , Graduate Texts in Mathematics, vol.252, Springer, New Yor k, 2009

Reference 27

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This paper cites Gurtin, The Linear Theory of Elasticity , C.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Gurtin, The Linear Theory of Elasticity , C

Reference 28

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This paper cites Grubb and R.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Grubb and R

Reference 29

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This paper cites H¨ ormander, The Analysis of Partial Diﬀerential Operators III, Springer-Verlag, Berlin Heidelberg New York, 1985.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds H¨ ormander, The Analysis of Partial Diﬀerential Operators III, Springer-Verlag, Berlin Heidelberg New York, 1985

Reference 30

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This paper cites H¨ ormander, Linear Partial Diﬀerential Operators , Berlin: Springer, 1964.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds H¨ ormander, Linear Partial Diﬀerential Operators , Berlin: Springer, 1964

Reference 31

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 32

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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This paper cites Kac, Can one hear the shape of a drum? , Amer.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Kac, Can one hear the shape of a drum? , Amer

Reference 34

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Kawohl, H

Reference 35

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 36

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This paper cites Kirsten, Spectral Functions in Mathematics and Physics , CRC Press, Boca Raton, 2001.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Kirsten, Spectral Functions in Mathematics and Physics , CRC Press, Boca Raton, 2001

Reference 37

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This paper cites Kohn and L.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Kohn and L

Reference 38

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This paper cites Korevaa, Tauberian Theory: A Century of Developments , Springer-Verlag, Berlin, Heidelberg, 2004.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Korevaa, Tauberian Theory: A Century of Developments , Springer-Verlag, Berlin, Heidelberg, 2004

Reference 39

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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This paper cites Landau and E.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Landau and E

Reference 41

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This paper cites Lee and G.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Lee and G

Reference 42

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 43

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

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This paper cites Determining anisotropic real-analytic metric from boundary electromagnetic information.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Determining anisotropic real-analytic metric from boundary electromagnetic information

Reference 45

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 46

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 47

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This paper cites McKean and I.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds McKean and I

Reference 48

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This paper cites Minakshisundaram, Eigenfunctions on Riemannian manifolds , J.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Minakshisundaram, Eigenfunctions on Riemannian manifolds , J

Reference 49

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This paper cites Morrey, On the analyticity of the solutions of analytic non-linear e lliptic systems of partial diﬀerential equations , Amer.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Morrey, On the analyticity of the solutions of analytic non-linear e lliptic systems of partial diﬀerential equations , Amer

Reference 50

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Observation fe4d5289-20db-43bb-a3ad-571cf87cba61 · outbound

This paper cites Morrey, On the analyticity of the solutions of analytic non-linear e lliptic systems of partial diﬀerential equations , Amer.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Morrey, On the analyticity of the solutions of analytic non-linear e lliptic systems of partial diﬀerential equations , Amer

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.886545Z

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Observation 4839d245-e5e6-47d8-9be7-fb70201df4b2 · outbound

This paper cites Morrey, Multiple Integrals in the Calculus of Variations , Springer-Verlag, New York, Inc., 1966.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Morrey, Multiple Integrals in the Calculus of Variations , Springer-Verlag, New York, Inc., 1966

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.873587Z

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Observation edba099c-b0c5-4b96-b291-4afe8f1e1169 · outbound

This paper cites an unresolved cited work.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:34:30.860607Z

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Observation aa9cdd13-d7dc-49dd-a0df-f7834f7f81b7 · outbound

This paper cites Nakamura and G.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Nakamura and G

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.848086Z

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Observation 82edf15d-e791-48bb-92fb-baacf4598e52 · outbound

This paper cites Nakamura and G.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Nakamura and G

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.835643Z

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Observation 9a097802-588e-442a-8d58-99ed54c3a7d6 · outbound

This paper cites Pazy, Semigroups of Linear Operators and Applications to Partial Diﬀerential Equations (Springer, 1983).

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Pazy, Semigroups of Linear Operators and Applications to Partial Diﬀerential Equations (Springer, 1983)

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.823367Z

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Observation 9ffe696a-49bd-40d8-b412-85da108a0de5 · outbound

This paper cites Polterovich and D.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Polterovich and D

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.811818Z

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Observation 307af51b-1384-4283-b541-ba3cafbc8270 · outbound

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:34:30.800473Z

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Observation 32e6fef2-5a79-4849-87f1-80891ae1adae · outbound

This paper cites Seeley, Complex powers of an elliptic operator , Proceedings of Symposia in Pure Mathematics, 10(1967), 28 8-307.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Seeley, Complex powers of an elliptic operator , Proceedings of Symposia in Pure Mathematics, 10(1967), 28 8-307

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.789051Z

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Observation a92802e4-faf1-4b7a-bea6-42834580c025 · outbound

This paper cites Seeley, The resolvent of an elliptic boundary value problem , Am.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Seeley, The resolvent of an elliptic boundary value problem , Am

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.776346Z

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Observation abf5d02c-a801-4bd7-b203-fcf8f1a576ef · outbound

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:34:30.763928Z

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Observation 4c021c9d-a441-4427-b613-8141efd86f27 · outbound

This paper cites Sommerfeld, Mechanics of Deformable Bodies , New York: Academic Press, 1964.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Sommerfeld, Mechanics of Deformable Bodies , New York: Academic Press, 1964

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.751851Z

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Observation 879dbc13-e8cd-4c02-b6f7-24339ded6978 · outbound

This paper cites D Spivak, A Comprehensive Introduction to Diﬀerential Geometry , II, Publish or Perish 1979.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds D Spivak, A Comprehensive Introduction to Diﬀerential Geometry , II, Publish or Perish 1979

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.739326Z

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Observation 32cac042-4e3a-459a-bfab-77e37e5ca180 · outbound

This paper cites an unresolved cited work.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:34:30.726313Z

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Observation f22c1140-5ce4-462b-a90e-953a42db3c70 · outbound

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 65

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:34:30.713223Z

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Observation a9dcd8ec-8d5a-460a-96d0-ad1234ca279a · outbound

This paper cites Sylvester, Sur l’equations en matrices px = xq, C.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Sylvester, Sur l’equations en matrices px = xq, C

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.700187Z

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 67

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:34:30.687475Z

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Observation 0affd660-efe5-42e3-b77d-5a8b75a1fe6c · outbound

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Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Unresolved cited work

Reference 68

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:34:30.674521Z

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Observation ce7df45d-e251-4cb2-b102-82e5e5aa5ba8 · outbound

This paper cites Treves, Introduction to pseudodiﬀerential and Fourier integral op erator, Plenum Press, New York, 1980.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Treves, Introduction to pseudodiﬀerential and Fourier integral op erator, Plenum Press, New York, 1980

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.663103Z

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Observation cf63ee83-3da1-4dbe-8d96-3e1afb2c05ef · outbound

This paper cites Vassilevich, Heat kernel expansion: users manual , Phys.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Vassilevich, Heat kernel expansion: users manual , Phys

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.651131Z

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Observation 3497abd0-4bfe-49bd-89c8-43db6c17e1e1 · outbound

This paper cites W eyl, ¨Uber die Abh¨ angigkeit der Eigenschwingungen einer Membra n und deren Begrenzung , J.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds W eyl, ¨Uber die Abh¨ angigkeit der Eigenschwingungen einer Membra n und deren Begrenzung , J

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.637815Z

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This paper cites W eyl, Das asymptotische Verteilungsgesetz der Eigenschwingung en eines beliebig gestalteten elastischen K¨ orpers, Rend.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds W eyl, Das asymptotische Verteilungsgesetz der Eigenschwingung en eines beliebig gestalteten elastischen K¨ orpers, Rend

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.624628Z

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Observation 47b961e3-71d3-45ab-ae19-a5edabb03945 · outbound

This paper cites W eyl, Ramiﬁcations, old and new, of the eigenvalue problem , Bull.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds W eyl, Ramiﬁcations, old and new, of the eigenvalue problem , Bull

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.610831Z

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Observation 7b65d32f-4e7b-41bd-a647-3fc37da2ee2d · outbound

This paper cites Whitehead, Elements of Homotopy theory , Springer-Verlag, New York, 1978.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Whitehead, Elements of Homotopy theory , Springer-Verlag, New York, 1978

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.596712Z

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Observation de5895bb-9b29-4679-95a3-98db3f5af1ee · outbound

This paper cites Yasutomi, Modiﬁed Elastic W ave Equations on Riemannian and K¨ ahler Manifolds, Publ.

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds Yasutomi, Modiﬁed Elastic W ave Equations on Riemannian and K¨ ahler Manifolds, Publ

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:34:30.583164Z

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