Search Results - "modulation spaces"

Factorizations for quasi-Banach time-frequency spaces and Schatten classes

Authors: Bhimani, Divyang G. Toft, Joachim

Source: Indagationes mathematicae. 36(3):838-879

Subject Terms: Algebras, Approximation identity, Modulation spaces, Modules, Quasi-Banach spaces, Schatten–von Neumann, Wiener amalgam spaces, Mathematics, Matematik

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Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-138486
https://doi.org/10.1016/j.indag.2024.09.005

Norm estimates for a broad class of modulation spaces, and continuity of Fourier type operators

Authors: Toft, Joachim Pfeuffer, Christine Teofanov, Nenad

Source: Journal of Functional Analysis. 290(1)

Subject Terms: time-frequency analysis, modulation spaces, wiener amalgam spaces, quasi-banach spaces, pseudo-differential operators, toeplitz operators, Mathematics, Matematik

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-141794
https://doi.org/10.1016/j.jfa.2025.111177

Non-isometric translation and modulation invariant Hilbert spaces

Authors: Ratnakumar, P. K. Toft, Joachim Vindas, Jasson

Source: Journal of Mathematical Analysis and Applications. 550(1)

Subject Terms: Modulation spaces, Feichtinger's minimization principle, Mathematics, Matematik

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Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-138121
https://doi.org/10.1016/j.jmaa.2025.129530

Direct Modulation and Free-Space Transmissions of up to 6 Gbps Multilevel Signals With a 4.65-μQuantum Cascade Laser at Room Temperature

Authors: Pang, Xiaodan, Dr. Schatz, Richard Joharifar, Mahdieh et al.

Source: Journal of Lightwave Technology. 40(8):2370-2377

Subject Terms: Free-space communication, mid-infrared photonics, quantum cascade laser, Data transfer, Digital signal processing, Energy utilization, Frequency response, Modulation, Optical communication, Optical signal processing, Optical transceivers, Quantum cascade lasers, Communication paradigm, Direct modulation, Free-space optical, Free-space transmission, Laser-based, Midinfrared, Modulation spaces, Multilevels, Spectra's, Wireless communications, Bandwidth

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Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:ri:diva-59773
https://doi.org/10.1109/JLT.2021.3137963

Translation and modulation invariant Hilbert spaces

Authors: Toft, Joachim Gumber, Anupam Manna, Ramesh et al.

Source: Monatshefte für Mathematik (Print). 196:389-398

Subject Terms: Modulation spaces, Feichtinger's minimization principle, Mathematics, Matematik

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Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-106050
https://doi.org/10.1007/s00605-021-01589-7

The Zak Transform on Gelfand-Shilov and Modulation Spaces with Applications to Operator Theory

Authors: Toft, Joachim, 1964

Source: Complex Analysis and Operator Theory. 15(1):1-42

Subject Terms: Zak transform, Quasi-periodic, Wiener spaces, Modulation spaces, Gelfand–, Shilov spaces, Quasi-Banach spaces, Characterizations, Mathematics, Matematik

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Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-99969
https://doi.org/10.1007/s11785-020-01039-6

Metaplectic Gabor Frames of Wigner-Decomposable Distributions

Authors: Elena Cordero Gianluca Giacchi

Source: Lecture Notes in Computer Science ISBN: 9783031812439

Subject Terms: Mathematics - Analysis of PDEs, 42B35, 42A38, FOS: Mathematics, Frames, metaplectic group, modulation spaces, symplectic group, Time-frequency analysis, Frames, Time-frequency analysis, modulation spaces, metaplectic group, symplectic group, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2304.14689
https://hdl.handle.net/11585/1003093
https://doi.org/10.1007/978-3-031-81244-6_5
https://link.springer.com/chapter/10.1007/978-3-031-81244-6_5
https://hdl.handle.net/2318/2055210
https://doi.org/10.1007/978-3-031-81244-6_5

Pseudodifferential Operators with Completely Periodic Symbols and Gabor Frames

Authors: Gianluca Garello Alessandro Morando

Source: Trends in Mathematics ISBN: 9783031719882

Subject Terms: Gabor frames, Modulation spaces, Periodic distributions, Pseudodifferential operators, Periodicdistributions, Pseudodifferentialoperators, Modulation spaces, Gabor frames

File Description: application/pdf

Phase space analysis of finite and infinite dimensional Fresnel integrals

Authors: Mazzucchi, Sonia Nicola, Fabio Trapasso, Salvatore Ivan

Source: Journal of Functional Analysis. 289:111009

Subject Terms: Mathematics - Functional Analysis, FOS: Mathematics, Fresnel integrals, Infinite dimensional integration, Projective systems of linear, functionals, Modulation spaces, 46T12, 46M10, 28C05, 42B35, 42B20, 47D08, 35J10, Fresnel integrals,Infinite dimensional integration,Projective systems of linear functionals,Modulation spaces, Functional Analysis (math.FA)

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Access URL: http://arxiv.org/abs/2403.20082

Pseudo-differential calculus in a Bargmann setting

Authors: Teofanov, Nenad Toft, Joachim

Source: Annales Academiae Scientiarum Fennicae Mathematica. 45:227-257

Subject Terms: Analytic kernels, Berezin operators, Pilipovic spaces, modulation spaces, Gelfand-Shilov spaces, Mathematics, Matematik

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Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-91802
https://doi.org/10.5186/aasfm.2020.4512

Pseudo-Differential Operators, Gelfand–Shilov Spaces, and Orlicz Type Spaces

Authors: Petersson, Albin Toft, Joachim, Professor Pilipović, Stevan, Professor

Contributors: Petersson, Albin Toft, Joachim, Professor Pilipović, Stevan, Professor

Source: Linnaeus University Dissertations.

Subject Terms: Gelfand-Shilov spaces, Fourier multipliers, modulation spaces, Orlicz spaces, pseudo-differential operators, Schatten-von Neumann classes, quasi-Banach spaces

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-141441

Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipovic and modulation spaces

Authors: Toft, Joachim Bhimani, Divyang G. Manna, Ramesh

Source: Applied and Computational Harmonic Analysis. 67

Subject Terms: Pilopovic spaces, Modulation spaces, Wiener amalgam, Bargmann transform, Harmonic oscillator, Propagators, Strichartz estimates, Matematik, Mathematics

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-124903
https://doi.org/10.1016/j.acha.2023.101580

Wave packet analysis of semigroups generated by quadratic differential operators

Authors: Trapasso, Salvatore Ivan

Source: Journal of Differential Equations. 449:113683

Subject Terms: Gabor wave packets, Heat equation, Hermite operator, Modulation spaces, Pseudo-differential operators, Quadratic differential operators, Analysis of PDEs, FOS: Mathematics, 35S10, 42B37, 47D06, 35K05, 42B35, 35H99, Functional Analysis, Analysis of PDEs (math.AP), Functional Analysis (math.FA)

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Access URL: http://arxiv.org/abs/2408.11130
https://hdl.handle.net/11583/3002436
https://www.sciencedirect.com/science/article/pii/S0022039625007107?via=ihub
https://doi.org/10.1016/j.jde.2025.113683

Continuity of Gevrey-Hörmander pseudo-differential operators on modulation spaces

Authors: Toft, Joachim, 1964

Source: Journal of Pseudo-Differential Operators and Applications. 10(2):337-358

Subject Terms: Pseudo-differential operators, Modulation spaces, BF-spaces, Gelfand–Shilov spaces, Matematik, Mathematics

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Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-80298
https://doi.org/10.1007/s11868-018-0273-9

Hans Georg Feichtinger: from abstract to numerical harmonic analysis

Authors: Gröchenig, Karlheinz

Source: Sampling Theory, Signal Processing, and Data Analysis. 23

Subject Terms: Time-frequency analysis, Modulation spaces, Coorbit spaces, Sampling theory

File Description: application/pdf

Access URL: https://phaidra.univie.ac.at/o:2113889
https://hdl.handle.net/11353/10.2113889
https://doi.org/10.1007/s43670-024-00095-9

On some extrapolation in generalized grand Morrey spaces with applications to PDEs

Authors: Eteri Gordadze Alexander Meskhi Maria Alessandra Ragusa

Source: Electronic Research Archive, Vol 32, Iss 1, Pp 551-564 (2024)

Subject Terms: Economics, Extrapolation, 01 natural sciences, Mathematical analysis, Dispersive Equations, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, weighted estimates, Global Well-Posedness of Nonlinear Wave Equations, 0101 mathematics, regularity of partial differential equations, Grand Morrey spaces, weighted extrapolation, Mathematical Physics, Order (exchange), T57-57.97, Applied mathematics. Quantitative methods, Applied Mathematics, Fractional Fourier Transform Analysis, Pure mathematics, Partial differential equation, Applied mathematics, Physical Sciences, Modulation Spaces, grand morrey spaces, Mathematics, Finance

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Access URL: https://doaj.org/article/2c13f654a09342af8ac129adaa22550e
https://hdl.handle.net/20.500.11769/557302
https://doi.org/10.3934/era.2024027

Symplectic analysis of time-frequency spaces

Authors: Cordero E. Giacchi G.

Source: Journal de Mathématiques Pures et Appliquées, vol. 177, pp. 154-177

Subject Terms: Mathematics - Analysis of PDEs, Time-frequency analysis, modulation spaces, Wiener amalgam spaces, time-frequency representations, metaplectic group, symplectic group, 42B35, 42A38, FOS: Mathematics, Applied Mathematics, General Mathematics, Time-frequency analysis Modulation spaces Wiener amalgam spaces Time-frequency representations Metaplectic group Symplectic group, 0101 mathematics, 01 natural sciences, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2212.13318
https://serval.unil.ch/resource/serval:BIB_1BFCC37C9758.P001/REF.pdf
http://nbn-resolving.org/urn/resolver.pl?urn=urn:nbn:ch:serval-BIB_1BFCC37C97583
https://serval.unil.ch/notice/serval:BIB_1BFCC37C9758
https://www.sciencedirect.com/science/article/pii/S0021782423000855
https://doi.org/10.1016/j.matpur.2023.06.011
https://hdl.handle.net/11585/962721
https://hdl.handle.net/2318/1928498
https://doi.org/10.1016/j.matpur.2023.06.011
https://www.sciencedirect.com/science/article/abs/pii/S0021782423000855

Resolution of the Heil–Ramanathan–Topiwala Conjecture

Authors: Forrest M. Anderson, Forrest

Subject Terms: • Heil–Ramanathan–Topiwala Conjecture • Time-Frequency Analysis • Gabor Systems • Spectral Theory • Modulation Spaces • Weyl–Heisenberg Group • Operator Theory • Harmonic Analysis • Singular Value Bounds • Gram Matrix Stability • Numerical Verification • Interval Arithmetic • Functional Inequalities • Non-commutative Geometry • Quantum Harmonic Analysis • Signal Processing • Mathematical Physics • Computational Linear Algebra • Representation Theory • Constructive Proofs • Replicability in Mathematics • Spectral Gaps • Finite Section Method • L² Function Spaces • Perturbation Theory

Relation: https://zenodo.org/records/16968716; oai:zenodo.org:16968716; https://doi.org/10.5281/zenodo.16968716

Availability: https://doi.org/10.5281/zenodo.16968716
https://zenodo.org/records/16968716

Boundedness of Metaplectic Operators Within $$L^p$$ Spaces, Applications to Pseudodifferential Calculus, and Time–Frequency Representations

Authors: Giacchi, Gianluca

Source: Journal of Fourier Analysis and Applications, vol. 30, no. 6

Subject Terms: Mathematics - Functional Analysis, Metaplectic operators, Symplectic group, Lebesgue spaces, Fourier transform, Modulation spaces, Time-frequency analysis, Pseudodifferential operators, Weyl representation, Linear canonical transform, Quadratic Fourier transform, 15A23, 42C20, 42A38, 46F12, 47G30, FOS: Mathematics, Functional Analysis (math.FA)

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Access URL: http://arxiv.org/abs/2405.09378
http://nbn-resolving.org/urn/resolver.pl?urn=urn:nbn:ch:serval-BIB_D050D45B47829
https://serval.unil.ch/resource/serval:BIB_D050D45B4782.P001/REF.pdf
https://serval.unil.ch/notice/serval:BIB_D050D45B4782

Time-Frequency Analysis and Metaplectic Operators

Authors: Cordero E. Giacchi G.

Source: Trends in Mathematics ISBN: 9783031570049

Subject Terms: Frames, Time-frequency analysis, Modulation spaces, Wiener amalgam spaces, Time-frequency representations, Metaplectic group, Symplectic group, 42A38, 42B35, 42C15, Frames, Metaplectic group, Modulation spaces, Symplectic group, Time-frequency analysis, Time-frequency representations, Wiener amalgam spaces

File Description: application/pdf

Access URL: https://hdl.handle.net/11585/997211
https://doi.org/10.1007/978-3-031-57005-6_13
https://hdl.handle.net/2318/2055190
https://doi.org/10.1007/978-3-031-57005-6_13