Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-13T07:17:37.978825Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 0 inbound Pith citation observations for arXiv:2607.08788.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-13T07:17:37.978825Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
78 of 78 outbound references displayed
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Observation 07473623-f301-48f5-8678-1986f1748695 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Natarajan, and K
Reference 1
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Observation f8e7ed95-aa4d-4e16-947f-6c8d7ec87596 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Graph isomorphism in quasipolynomial time
Reference 2
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Observation 3c5a5cb1-8d2f-4f86-9e9d-d92261de1071 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Cambridge University Press, 2nd edition, 1993
Reference 3
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Observation 88c99feb-fd29-4074-a571-4506514ac835 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Brockett
Reference 4
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Observation 4a210ef4-823a-4e94-a80a-6abba6186631 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Jacobi angles for simultaneous diagonalization
Reference 5
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Observation 7cca100f-4a2f-471d-b292-3f050bc9dafb · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Riley Casper, F
Reference 6
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Observation 29d1d83d-ccc3-4651-aba7-d7edafe2333e · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Riley Casper and Milen Yakimov
Reference 7
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Observation da74a1d6-56e0-4d2c-92ce-cfec890314ad · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 8
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Observation 3de091a0-b2b9-404d-8a12-c2b678be7686 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Chu and Kenneth R
Reference 9
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Observation 72e9978e-50c7-4af5-ba1b-ef85df598243 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Interscience, 1953
Reference 10
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Observation fc0eb227-99ec-47de-abad-c692bacfd6b9 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Cover and Joy A
Reference 11
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Observation b6e61be6-7133-4b5c-93a1-bb326ac33f21 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Society for Industrial and Applied Mathematics, Philadelphia, 1992
Reference 12
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Observation 8f7a2df3-3290-401e-ac66-f3d06ca06a33 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 13
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Observation 7ebf452d-92b6-4f7c-8b9b-71159f5ff0cc · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Institute of Mathematical Statistics, Hayward, CA, 1988
Reference 14
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Observation c9d8f0a3-4206-4d2a-b959-81597c9004d1 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory What can we do in a symmetry-constrained perspective? the importance of the total charge’s status in quantum reference frame frameworks.Quantum, 10:2126, 2026
Reference 15
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Observation 28f3044c-69a8-4b9e-8296-3cf776e96c2c · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 16
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Observation 4bf9da3a-00cf-41df-ab90-e1db794e951d · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 17
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Observation 5a45741d-a502-48f9-97ea-281a76ef5446 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Dur ´an and F
Reference 18
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Observation f091c1a4-4b0f-440c-b05d-b52d782d1238 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Suboptimality of the Karhunen–Lo `eve transform for transform coding.IEEE Transactions on Information Theory, 50(8):1605–1619, 2004
Reference 19
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Observation 20f6840a-c8f7-49e9-a08c-f7457ee11814 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory On a theorem of Weyl concerning eigenvalues of linear transformations
Reference 20
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Observation fde706d5-3a91-4bb2-a834-0ded6cb761c6 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Resection of high frequency oscillations predicts seizure outcome in the individual patient.Scientific Reports, 7(1):13836, 2017
Reference 21
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Observation b5ff764f-3065-4506-b822-a72b1ab57515 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Interictal iEEG during slow-wave sleep with HFO markings
Reference 22
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Observation 1dae45a2-8491-4548-8b1e-605998b9713d · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 23
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Observation 3f628f05-e334-419c-bd40-541cd3e5d9f3 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Folland.A Course in Abstract Harmonic Analysis
Reference 24
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Observation 9d46c596-cb0f-41e2-8ee2-f6a0428cbfd6 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Springer, 2001
Reference 25
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Observation 2ac1701c-fd0b-4117-a640-782cbc035b8e · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 26
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Observation 79d62700-ac09-4124-8b93-68e49c347b32 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 27
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Observation 4af6be1b-9861-4a31-87b0-1824a63234fa · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Alberto Gr ¨unbaum and Luc Haine
Reference 28
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Observation 7e0f28e9-8da9-4776-bd71-99936a6c5f62 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Alberto Gr ¨unbaum, Luigi Longhi, and Marvin Perlstadt
Reference 29
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Observation 825a3c67-5a48-460c-a6ad-9bf087bc3d37 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Alberto Gr ¨unbaum, In ´es Pacharoni, and Ignacio Zurri ´an
Reference 30
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Observation 73d4e3e4-81b2-4fae-9cb4-96b554b9f6ba · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Alberto Gr ¨unbaum, Luc Vinet, and Alexei Zhedanov
Reference 31
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Observation 66a228c8-8943-42f7-ba8f-cf10f714bc99 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Alberto Gr ¨unbaum and Milen Yakimov
Reference 32
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Observation 42323e24-75b4-4a80-9446-dc9a59fd487e · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Alberto Gr ¨unbaum and Milen Yakimov
Reference 33
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Observation d8c60f6b-ed00-4d51-bdf3-cc98e63a31c5 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Zur theorie der orthogonalen funktionensysteme.Mathematische Annalen, 69(3):331– 371, 1910
Reference 34
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Observation c76ff1c8-b4fb-4cc4-b97a-da291210bb52 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Commutative rings of difference operators and an adelic flag manifold
Reference 35
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Observation acd455df-22ab-4e6c-ab3a-1e79c7eccf65 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Moore.Optimization and Dynamical Systems
Reference 36
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Observation 9c58cb8b-ef52-4b4f-924d-229da45dbff3 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Analysis of a complex of statistical variables into principal components.Journal of Educational Psychology, 24:417–441, 498–520, 1933
Reference 37
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Observation 324dc4fe-b1c8-40a7-81bf-599afc9fe623 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Exact Symmetry as Algebra: A Machine-Verified Tensor Calculus that Enforces Physical Selection Rules
Reference 38
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Observation 57829dc5-7b89-4402-9780-b6f3ae39fb39 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Huang and P
Reference 39
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Observation fcab7dfb-4371-49c5-a4f2-5f9a1d77ac0d · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 40
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Observation 55ec2a5f-f71c-49d8-ad44-eb54c0b68936 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory ¨Uber lineare methoden in der wahrscheinlichkeitsrechnung.Annales Academiae Scientiarum Fennicae, Ser
Reference 41
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Observation e33b4421-d431-4e0a-9803-34fb37eca2bd · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Lesky, and Ren ´e F
Reference 42
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Observation b949e167-a382-40ba-b890-d9e7441dcf9c · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 43
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Observation 48ef271b-b982-4945-b21b-826de56798d9 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 44
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Observation 4ebe9989-a0b3-446a-8da4-c23c23111e38 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 45
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Observation ff724e55-82f7-432e-8400-26549916a5a5 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Landau and Henry O
Reference 46
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Observation a9fea912-2475-49a2-b1cc-0308536a9db5 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Springer, 4th edition, 1978
Reference 47
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Observation 03fd5956-44ba-42b5-8941-9e95565397ab · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 48
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Observation a677271c-3a15-4c87-8b7c-8326dd0626e8 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Functions of positive and negative type, and their connection with the theory of integral equations.Philosophical Transactions of the Royal Society of London A, 209:415–446, 1909
Reference 49
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Observation 25c0835a-7ef7-4429-b8a7-33f7ea263413 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Moody and Roger G
Reference 50
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Observation a56cf0fe-22e5-4e04-acaa-a0e103242fc7 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory The fractional order fourier transform and its application to quantum mechanics
Reference 51
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Observation b21fd085-ef5d-4d67-8e94-abadfa03584b · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory On lines and planes of closest fit to systems of points in space.Philosophical Magazine, Series 6, 2(11):559–572, 1901
Reference 52
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Observation 86c1643c-c47b-4dec-bef5-8e10802afbb7 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Percival and Andrew T
Reference 53
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Observation 990208ef-94fe-499b-a693-00f4fc40ac8f · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Joint approximate diagonalization of positive definite Hermitian matrices.SIAM Journal on Matrix Analysis and Applications, 22(4):1136–1152, 2001
Reference 54
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Observation 6136e430-e832-4b40-a0e8-d730ea528d69 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 55
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Observation 0be385ad-33af-4791-aec9-5fe7f4fb1ad0 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 56
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Observation f54293b8-d219-4566-9596-6c1d2bb9ea80 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 57
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Observation 6547d939-629b-4992-9512-25ec5e617448 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Representation Theory for Geometric Quantum Machine Learning
Reference 58
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Observation bcd4ff74-c82e-4d46-9e41-c82a7a832c26 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 59
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Observation 5212a97c-da16-4163-8e31-7679838701f8 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 60
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Observation 864d6e07-c38e-4881-ab47-32ae726c9b36 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Springer, New York, 1977
Reference 61
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Observation 5653d9ea-2b5c-4483-bf9c-34a4c2033acc · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Shuman, Sunil K
Reference 62
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Observation 12b4b853-5292-43bc-84e8-87ef8f2c4ea5 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Prolate spheroidal wave functions, Fourier analysis and uncertainty—V: The discrete case.Bell System Technical Journal, 57(5):1371–1430, 1978
Reference 63
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Observation 277fa492-5a52-4395-b4ef-0eb755bf2fcc · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 64
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Observation 881f955d-5e82-4d21-b8aa-337cf79a1a40 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Smith and Robert B
Reference 65
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Observation 148f2b55-f1ae-4779-b484-d5d36b2d16ef · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Cambridge University Press, Cambridge, 1999
Reference 66
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Observation 565fc109-9cca-4bd0-bd87-9cc06e42a012 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Algebraic Diversity: Group-Theoretic Spectral Estimation from Single Observations
Reference 67
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Observation 042fd19b-5660-4f39-a5ef-635e9d5b1554 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Algebraic Diversity: Principles of a Group-Theoretic Approach to Signal Processing
Reference 68
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Observation a28c98eb-2550-4b6e-876a-2145a24aa66c · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Continuous Algebraic Diversity: Unifying Spectral, Wavelet, and Time-Frequency Analysis via Lie Group Actions
Reference 69
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Observation 88a507cf-bf54-4c6b-9d0c-767973a4d491 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Polynomial-Time Optimal Group Selection via the Double-Commutator Eigenvalue Problem
Reference 70
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Observation 4fd6aa6b-88c3-42ab-a8a7-571c99fa6ca1 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unification of Signal Transform Theory
Reference 71
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Observation 258c22c4-9016-41ec-9eb3-1d2f60229556 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Tracy and Harold Widom
Reference 72
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Observation 6bcf1042-40ad-4bac-aeca-121ecb2bbecd · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Tracy and Harold Widom
Reference 73
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Observation e1ca5fc0-df7e-41d2-a13f-03bdf78b49db · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Sch ¨onberger, Juan Nunez-Iglesias, Franc ¸ois Boulogne, Joshua D
Reference 74
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Observation 04ed0c66-1b3a-42ea-a939-3f74d01401c1 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Cambridge University Press, 2018
Reference 75
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Observation 26c5cd3a-cf00-4df4-a7bd-0faa7c03ca20 · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory A reduction of a graph to a canonical form and an algebra arising during this reduction.Nauchno-Technicheskaya Informatsia, Ser
Reference 76
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Observation 430260a5-c8fe-4924-a192-3339a1c7e62e · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Williams, Ioannis G
Reference 77
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Observation 5c78db78-17e4-4ee8-b38a-25f45bcab07a · outbound
Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory Unresolved cited work
Reference 78
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