Paper Citation Record · LEDGER

A quantum harmonic analysis approach to nonlinear time-frequency concentration

As of 22 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 1 inbound Pith citation observation for arXiv:2605.28786.

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pith.paper-citation-record.v1
2605.28786 v2

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Reference resolution

72 of 72 outbound references displayed

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Outbound references

Observation 46ef95d9-2e8d-4607-8646-25505b20a9ff · outbound

This paper cites On quantum large sieve inequalities and operator recovery from incomplete information.

A quantum harmonic analysis approach to nonlinear time-frequency concentration On quantum large sieve inequalities and operator recovery from incomplete information

Reference 1

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Observation d04632dc-45c3-4b9e-8da8-501b33129be3 · outbound

This paper cites Norm attaining and numerical radius attaining operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Norm attaining and numerical radius attaining operators

Reference 2

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Observation 2defc9b2-6e71-4a0e-8a76-0a877a30303a · outbound

This paper cites Minimalstellen von Funktionen und Extremalpunkte.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Minimalstellen von Funktionen und Extremalpunkte

Reference 3

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Observation 73112ce1-41f3-48f5-bb09-5303ef94e913 · outbound

This paper cites Time-frequency localization operators and a Berezin trans- form.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Time-frequency localization operators and a Berezin trans- form

Reference 4

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Observation 794a07d3-04d3-4dbd-9572-3a3d8c4800a5 · outbound

This paper cites Amenable unitary representations of locally compact groups.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Amenable unitary representations of locally compact groups

Reference 5

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Observation 4d020c6d-67db-48cf-87fe-c6b07477a45b · outbound

This paper cites Denseness of operators which attain their numerical radius.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Denseness of operators which attain their numerical radius

Reference 6

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Observation 4e6f4c2d-dfdc-4f20-8257-07f719d88da8 · outbound

This paper cites Affine quantum harmonic analysis.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Affine quantum harmonic analysis

Reference 7

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Observation 76681659-5d72-4d5f-aa1c-f596b2af713b · outbound

This paper cites Uncertainty principles in Fourier analysis.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Uncertainty principles in Fourier analysis

Reference 8

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Observation eead02da-3d8c-4b6e-a256-08f878e47855 · outbound

This paper cites Numerical radius attaining compact linear operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Numerical radius attaining compact linear operators

Reference 9

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Observation 4bfe6c9c-7a48-4c26-9868-a80a4e70bf67 · outbound

This paper cites Generalized phase-space distribution functions.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Generalized phase-space distribution functions

Reference 10

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Observation 90151fe0-5b37-4831-b63b-4a56c241da37 · outbound

This paper cites Cohen.Time-frequency analysis.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Cohen.Time-frequency analysis

Reference 11

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Observation f74c6a44-5ba9-4eb7-a38f-3c81ca13edf1 · outbound

This paper cites Time-frequency analysis of Born-Jordan pseudodifferential operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Time-frequency analysis of Born-Jordan pseudodifferential operators

Reference 12

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This paper cites On the positivity of trace class operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration On the positivity of trace class operators

Reference 13

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Observation 441e09f7-1026-416e-af7e-a42a7caa6a68 · outbound

This paper cites Time-frequency analysis of localization operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Time-frequency analysis of localization operators

Reference 14

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This paper cites Different faces of the shearlet group.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Different faces of the shearlet group

Reference 15

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Observation 5e06ca47-44fa-4853-872d-68fd4218e53e · outbound

This paper cites Time-frequency localization operators: a geometric phase space approach.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Time-frequency localization operators: a geometric phase space approach

Reference 16

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Observation 153b0f5b-7bee-4011-a6a9-4e139e5166ba · outbound

This paper cites Inside the Spectrogram: Convolutional Neural Networks in Audio Processing.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Inside the Spectrogram: Convolutional Neural Networks in Audio Processing

Reference 17

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This paper cites Basic Filters for Convolutional Neural Networks: Training or Design?.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Basic Filters for Convolutional Neural Networks: Training or Design?

Reference 18

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Observation 7f407fdc-b6e2-4362-93b5-6a6fcfdfcfda · outbound

This paper cites Time-frequency analysis and coorbit spaces of operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Time-frequency analysis and coorbit spaces of operators

Reference 19

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Observation 4cc8d9c7-46fa-405a-9ed9-63f16a4b75e5 · outbound

This paper cites Local structure and effective dimensionality of time series data sets.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Local structure and effective dimensionality of time series data sets

Reference 20

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Observation e5a759e5-8248-45dc-a0c8-3103fba28718 · outbound

This paper cites On a new Segal algebra.

A quantum harmonic analysis approach to nonlinear time-frequency concentration On a new Segal algebra

Reference 21

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Observation 04f078de-f03e-42ba-8d72-f75c2c3aa33c · outbound

This paper cites Banach spaces related to integrable group representations and their atomic decompositions. I.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Banach spaces related to integrable group representations and their atomic decompositions. I

Reference 22

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This paper cites Banach spaces related to integrable group representations and their atomic decompositions. II.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Banach spaces related to integrable group representations and their atomic decompositions. II

Reference 23

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Observation af4b97ca-353d-41cc-94b7-f5d4c56ada88 · outbound

This paper cites Measure-operator convolutions and applications to mixed-state Gabor multipliers.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Measure-operator convolutions and applications to mixed-state Gabor multipliers

Reference 24

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Observation eeb84b72-8eb7-47e3-b480-9128b3f8dbc4 · outbound

This paper cites Maximum signal energy concentration in a time-frequency domain.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Maximum signal energy concentration in a time-frequency domain

Reference 25

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Observation fadae1ec-47d8-4b2c-9f0b-54a93e064899 · outbound

This paper cites Flandrin.Time-frequency/time-scale analysis.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Flandrin.Time-frequency/time-scale analysis

Reference 26

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Unresolved cited work

Reference 27

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Observation 4179e224-070b-480e-8cc8-d81ab6e34c7d · outbound

This paper cites The generalized Wehrl entropy bound in quantitative form.

A quantum harmonic analysis approach to nonlinear time-frequency concentration The generalized Wehrl entropy bound in quantitative form

Reference 28

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Observation 60283a8f-f53a-42bc-aba7-6b3265ae3bf4 · outbound

This paper cites Quantum harmonic analysis on locally compact abelian groups.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Quantum harmonic analysis on locally compact abelian groups

Reference 29

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This paper cites Wiener’s Tauberian theorem in classical and quantum harmonic analysis.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Wiener’s Tauberian theorem in classical and quantum harmonic analysis

Reference 30

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Unresolved cited work

Reference 31

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Unresolved cited work

Reference 32

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Observation b90ab8a6-95f8-4faf-b803-f0df8bf007de · outbound

This paper cites Gr¨ ochenig.Foundations of time-frequency analysis.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Gr¨ ochenig.Foundations of time-frequency analysis

Reference 33

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This paper cites New function spaces associated to representations of nilpotent Lie groups and generalized time-frequency analysis.

A quantum harmonic analysis approach to nonlinear time-frequency concentration New function spaces associated to representations of nilpotent Lie groups and generalized time-frequency analysis

Reference 34

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Observation eb58031c-4a2f-42e9-8aa7-ace0c846f2dc · outbound

This paper cites A Characterization of Metaplectic Time-Frequency Representations.

A quantum harmonic analysis approach to nonlinear time-frequency concentration A Characterization of Metaplectic Time-Frequency Representations

Reference 35

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Observation e919e1df-fd02-479e-812d-68b6d36cb402 · outbound

This paper cites Hlawatsch and F.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Hlawatsch and F

Reference 36

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Observation e9a0c137-936e-4523-adaf-dc1e7496bde2 · outbound

This paper cites Positivity and spread of bilinear time-frequency distributions.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Positivity and spread of bilinear time-frequency distributions

Reference 37

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This paper cites The C∗-algebras of a free Boson field. I. Discussion of the basic facts.

A quantum harmonic analysis approach to nonlinear time-frequency concentration The C∗-algebras of a free Boson field. I. Discussion of the basic facts

Reference 38

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Schwartz operators

Reference 39

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This paper cites Generalized phase-space representations of operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Generalized phase-space representations of operators

Reference 40

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A quantum harmonic analysis approach to nonlinear time-frequency concentration On modulation and translation invariant operators and the Heisenberg module

Reference 41

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Lerner.Integrating the Wigner distribution on subsets of the phase space, a survey

Reference 42

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Integral bounds for radar ambiguity functions and Wigner distributions

Reference 43

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This paper cites Proof of an entropy conjecture for Bloch coherent spin states and its generalizations.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Proof of an entropy conjecture for Bloch coherent spin states and its generalizations

Reference 44

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Observation c3f03d61-fc3c-4518-b769-cb8ff34d023b · outbound

This paper cites C∗-alg` ebres des syst` emes canoniques. I.

A quantum harmonic analysis approach to nonlinear time-frequency concentration C∗-alg` ebres des syst` emes canoniques. I

Reference 45

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Observation 0c57819f-9643-4953-ad60-2c7c8bb39cde · outbound

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A quantum harmonic analysis approach to nonlinear time-frequency concentration C∗-alg` ebres des syst` emes canoniques. II

Reference 46

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Observation addef672-95e7-49a8-b1a2-60ed7523e085 · outbound

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Quantum Time-Frequency Analysis and Pseudodifferential Operators

Reference 47

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Observation 4ba4b9a8-fbd9-4323-833b-8ebdd0250097 · outbound

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Fourier restriction for Schatten class operators and functions on phase space

Reference 48

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Observation 107a43a5-8d9c-4d67-bfef-5722cfba7925 · outbound

This paper cites Convolutions for Berezin quantization and Berezin-Lieb inequalities.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Convolutions for Berezin quantization and Berezin-Lieb inequalities

Reference 49

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Observation c1099ae3-fdaf-441f-98bc-b3c054b45cad · outbound

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Convolutions for localization operators

Reference 50

Resolution: unresolved; no resolver link, observed 2026-06-29T09:31:43.237221Z

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Observation 67a85853-967c-481f-b909-9055aee59d01 · outbound

This paper cites Mixed-state localization operators: Cohen’s class and trace class operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Mixed-state localization operators: Cohen’s class and trace class operators

Reference 51

Resolution: unresolved; no resolver link, observed 2026-06-29T09:31:43.237221Z

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Observation db47ab5b-ca3d-4cc9-92bf-d29a17d9c4d0 · outbound

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A quantum harmonic analysis approach to nonlinear time-frequency concentration On accumulated Cohen’s class distributions and mixed-state localization operators

Reference 52

Resolution: unresolved; no resolver link, observed 2026-06-29T09:31:43.237221Z

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This paper cites A Wiener Tauberian theorem for operators and functions.

A quantum harmonic analysis approach to nonlinear time-frequency concentration A Wiener Tauberian theorem for operators and functions

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Resolution: unresolved; no resolver link, observed 2026-06-29T09:31:43.237221Z

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Observation b0025303-8a82-4e3f-8111-e5ee7ca44fe7 · outbound

This paper cites Spectral deviation of concentration operators on reproducing kernel Hilbert spaces.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Spectral deviation of concentration operators on reproducing kernel Hilbert spaces

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-06-29T09:33:17.305152Z

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Observation 1084e080-e3cd-4315-aa09-38adf2a36162 · outbound

This paper cites Quantum and classical Liouville dynamics of the anharmonic oscillator.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Quantum and classical Liouville dynamics of the anharmonic oscillator

Reference 55

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Observation 953d2e12-c499-45ff-8719-b397241ddc7b · outbound

This paper cites The Wehrl-type entropy conjecture for symmetric SU (N) coherent states: cases of equality and stability.

A quantum harmonic analysis approach to nonlinear time-frequency concentration The Wehrl-type entropy conjecture for symmetric SU (N) coherent states: cases of equality and stability

Reference 56

Resolution: unresolved; no resolver link, observed 2026-06-29T09:31:43.237221Z

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Observation 54d68b8b-199d-4ec2-8edf-d76f6fd26b6e · outbound

This paper cites On the existence of optimizers for time– frequency concentration problems.

A quantum harmonic analysis approach to nonlinear time-frequency concentration On the existence of optimizers for time– frequency concentration problems

Reference 57

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Observation 7d9c7286-9315-4f8f-8ae8-59273dfa69a2 · outbound

This paper cites The Faber-Krahn inequality for the short-time Fourier transform.

A quantum harmonic analysis approach to nonlinear time-frequency concentration The Faber-Krahn inequality for the short-time Fourier transform

Reference 58

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Observation c72e88f3-a876-4cd4-bec6-c2278c643097 · outbound

This paper cites SpecAugment: A Simple Data Augmentation Method for Automatic Speech Recognition.

A quantum harmonic analysis approach to nonlinear time-frequency concentration SpecAugment: A Simple Data Augmentation Method for Automatic Speech Recognition

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Observation d1e0f530-69ff-4797-a035-0379da5de886 · outbound

This paper cites A counterexample on numerical radius attaining operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration A counterexample on numerical radius attaining operators

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Observation 680d1add-c7d4-4bd9-a2f7-fe9903c5614b · outbound

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A quantum harmonic analysis approach to nonlinear time-frequency concentration Mathematical aspects of the Weyl correspondence

Reference 61

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Observation 3e5d9b5a-4c6f-49d4-b298-f603ed605ffb · outbound

This paper cites A Faber-Krahn inequality for wavelet transforms.

A quantum harmonic analysis approach to nonlinear time-frequency concentration A Faber-Krahn inequality for wavelet transforms

Reference 62

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Observation 2d7a94fe-4b05-4f75-ba0e-5b118873556c · outbound

This paper cites Santambrogio.A course in the calculus of variations—optimization, regularity, and modeling.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Santambrogio.A course in the calculus of variations—optimization, regularity, and modeling

Reference 63

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Observation fb205c94-64c5-4506-bae7-d907f86de77e · outbound

This paper cites Wehrl entropy, coherent states and quantum channels.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Wehrl entropy, coherent states and quantum channels

Reference 64

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Observation f3fdf805-1e9e-4b7d-b90d-c114a5204f6f · outbound

This paper cites Quantum harmonic analysis on lattices and Gabor multipliers.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Quantum harmonic analysis on lattices and Gabor multipliers

Reference 65

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Observation 52e0a86c-fefa-4003-a3f0-d89ebbc32948 · outbound

This paper cites an unresolved cited work.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Unresolved cited work

Reference 66

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Observation 35c4da86-38b4-493d-9b96-f99a9ed2b88f · outbound

This paper cites On the existence of optimizers for nonlinear time- frequency concentration problems: the Wigner distribution.

A quantum harmonic analysis approach to nonlinear time-frequency concentration On the existence of optimizers for nonlinear time- frequency concentration problems: the Wigner distribution

Reference 67

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Observation d4de5a6c-9af4-4644-bcdd-0656c806aec5 · outbound

This paper cites On the existence of optimizers for nonlinear time-frequency concentration problems: the Born--Jordan distribution.

A quantum harmonic analysis approach to nonlinear time-frequency concentration On the existence of optimizers for nonlinear time-frequency concentration problems: the Born--Jordan distribution

Reference 68

Resolution: verified exact; local_arxiv, observed 2026-06-29T09:33:17.300303Z

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Observation 94c49081-3c74-4832-a1dd-c681fc011cce · outbound

This paper cites Extensions of Daubechies’ theorem: Reinhardt domains, Hagedorn wavepackets and mixed-state localization operators.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Extensions of Daubechies’ theorem: Reinhardt domains, Hagedorn wavepackets and mixed-state localization operators

Reference 69

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Observation 56803f75-b412-421a-84d9-83742590f563 · outbound

This paper cites Quantum harmonic analysis on phase space.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Quantum harmonic analysis on phase space

Reference 70

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Observation f80a4490-daf5-499f-8693-c7d8563e8fdf · outbound

This paper cites On the Quantum Correction For Thermodynamic Equilibrium.

A quantum harmonic analysis approach to nonlinear time-frequency concentration On the Quantum Correction For Thermodynamic Equilibrium

Reference 71

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Observation 33bd224e-1def-428d-ac16-3c1fd0860bda · outbound

This paper cites Sur les rapports entre la th´ eorie des m´ elanges et la statistique classique.

A quantum harmonic analysis approach to nonlinear time-frequency concentration Sur les rapports entre la th´ eorie des m´ elanges et la statistique classique

Reference 72

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Pith citing papers

Observation 5d88f143-4b7c-4ba1-b0e1-132a1f396fd5 · inbound

On the existence of extremizers for the sum of eigenvalues of Toeplitz operators cites this paper.

On the existence of extremizers for the sum of eigenvalues of Toeplitz operators A quantum harmonic analysis approach to nonlinear time-frequency concentration

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:43:17.259856Z

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