Quasi-Banach modulation spaces and localization operators on locally compact abelian groups
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[1] William P. Reinhardt,et al. Theta functions , 2010, NIST Handbook of Mathematical Functions.
[2] Note on the Wigner Distribution and Localization Operators in the Quasi-Banach Setting , 2020, 2002.03648.
[3] O. Christensen. Atomic Decomposition via Projective Group Representations , 1996 .
[4] N. Teofanov,et al. Subexponential decay and regularity estimates for eigenfunctions of localization operators , 2020, 2004.12947.
[5] J. Toft. Continuity properties for modulation spaces, with applications to pseudo-differential calculus—I , 2004 .
[6] K. Grōchenig. New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis , 2020, 2007.04615.
[7] Ville Turunen. Born-Jordan time-frequency analysis , 2016 .
[8] 小林 政晴. Modulation spaces M[p,q] for 0 , 2007 .
[9] H. Rauhut,et al. Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type , 2010, 1010.0607.
[10] Michael Ruzhansky,et al. L-L multipliers on locally compact groups , 2020 .
[11] Mads S. Jakobsen,et al. Time-frequency analysis on the adeles over the rationals , 2018, Comptes Rendus Mathematique.
[12] Calvin C. Moore,et al. On the regular representation of a nonunimodular locally compact group , 1976 .
[13] Ingrid Daubechies,et al. Time-frequency localization operators: A geometric phase space approach , 1988, IEEE Trans. Inf. Theory.
[14] M. W. Wong. Wavelet transforms and localization operators , 2002 .
[15] T. Strohmer,et al. Pseudodifferential operators on locally compact abelian groups and Sjöstrand's symbol class , 2006, math/0604294.
[16] F. Voigtlaender,et al. Wavelet Coorbit Spaces viewed as Decomposition Spaces , 2014, 1404.4298.
[17] M. Fornasier,et al. Continuous Frames, Function Spaces, and the Discretization Problem , 2004, math/0410571.
[18] H. Feichtinger. Modulation Spaces on Locally Compact Abelian Groups , 2003 .
[19] Carmen Fernández,et al. Compactness of time-frequency localization operators on L 2 (R d ) , 2006 .
[20] R. F. O'Connell,et al. Wigner Distribution , 2010, Compendium of Quantum Physics.
[21] N. Teofanov. Continuity and Schatten–von Neumann Properties for Localization Operators on Modulation Spaces , 2016 .
[22] K. Gröchenig. Describing functions: Atomic decompositions versus frames , 1991 .
[23] Holger Rauhut. Coorbit space theory for quasi-Banach spaces , 2005 .
[24] K. Gröchenig,et al. Time–Frequency Localization Operators and a Berezin Transform , 2014, 1407.4321.
[25] Compactness of time-frequency localization operators on L(R) , 2005 .
[26] Hyunjoong Kim,et al. Functional Analysis I , 2017 .
[27] F. Luef,et al. Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators , 2018, Journal of Fourier Analysis and Applications.
[28] Baoxiang Wang,et al. Harmonic Analysis Method for Nonlinear Evolution Equations, I , 2011 .
[29] V. Oussa. Compactly supported bounded frames on Lie groups , 2018, Journal of Functional Analysis.
[30] T. Strohmer,et al. Gabor Analysis and Algorithms: Theory and Applications , 1997 .
[31] S. Haran. Quantizations and symbolic calculus over the $p$-adic numbers , 1993 .
[32] Y. V. Galperin. YOUNG’S CONVOLUTION INEQUALITIES FOR WEIGHTED MIXED (QUASI-) NORM SPACES , 2014 .
[33] H. Feichtinger. A characterization of minimal homogeneous Banach spaces , 1981 .
[34] N. Teofanov. Bilinear Localization Operators on Modulation Spaces , 2018 .
[35] Karlheinz Gröchenig,et al. Aspects of Gabor analysis on locally compact abelian groups , 1998 .
[36] Compactness of Fourier integral operators on weighted modulation spaces , 2017, Transactions of the American Mathematical Society.
[37] Weichao Guo,et al. Characterizations of Some Properties on Weighted Modulation and Wiener Amalgam Spaces , 2019, Michigan Mathematical Journal.
[38] K. Grōchenig,et al. On accumulated spectrograms , 2014, 1404.7713.
[39] M. Shubin. Pseudodifferential Operators and Spectral Theory , 1987 .
[40] Michael Ruzhansky,et al. Pseudo-Differential Operators, Wigner Transform and Weyl Systems on Type I Locally Compact Groups , 2015, Documenta Mathematica.
[41] S. B. Stechkin. On absolute convergence of orthogonal series. I. , 1953 .
[42] M. D. Gosson,et al. The canonical group of transformations of a Weyl–Heisenberg frame; applications to Gaussian and Hermitian frames , 2017 .
[43] N. Teofanov. Gelfand-Shilov spaces and localization operators , 2015 .
[44] K. Gröchenig. New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis , 2020 .
[45] O. Christensen. An introduction to frames and Riesz bases , 2002 .
[46] A. Galbis,et al. Some remarks on compact Weyl operators , 2007 .
[47] J. Stewart,et al. Amalgams of $L^p$ and $l^q$ , 1985 .
[48] E. Cordero,et al. Sharp integral bounds for Wigner distributions , 2016, 1605.00481.
[49] M. D. Gosson. Symplectic Methods in Harmonic Analysis and in Mathematical Physics , 2011 .
[50] W. Rudin,et al. Fourier Analysis on Groups. , 1965 .
[51] E. Cordero,et al. Decay and smoothness for eigenfunctions of localization operators , 2019, 1902.03413.
[52] L. D. Abreu,et al. An inverse problem for localization operators , 2012, 1202.5841.
[53] Christina Gloeckner. Foundations Of Time Frequency Analysis , 2016 .
[54] Michael Ruzhansky,et al. Sharp Gårding inequality on compact Lie groups , 2010, 1007.0588.
[55] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .
[56] Yurii Lyubarskii,et al. Gabor (super)frames with Hermite functions , 2008, 0804.4613.
[57] C. Heil. An Introduction to Weighted Wiener Amalgams , 2003 .
[58] Yurii Lyubarskii,et al. Gabor frames with Hermite functions , 2007 .
[59] L. Rodino,et al. Time-Frequency Analysis of Operators , 2020 .
[60] Holger Rauhut. Wiener Amalgam Spaces with respect to Quasi-Banach Spaces , 2005 .
[61] L. Squire,et al. Amalgams of Lᴾ and ℓ^q , 1984 .
[62] R. Lipsman. Abstract harmonic analysis , 1968 .
[63] T. Claasen,et al. THE WIGNER DISTRIBUTION - A TOOL FOR TIME-FREQUENCY SIGNAL ANALYSIS , 1980 .
[64] I. Daubechies,et al. Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations , 1988 .
[65] H. Feichtinger,et al. Gabor Frames and Time-Frequency Analysis of Distributions* , 1997 .
[66] H. Feichtinger. Banach Spaces of Distributions of Wiener’s Type and Interpolation , 1981 .
[67] Masaharu Kobayashi. Dual of modulation spaces , 2007 .
[68] Thomas Strohmer,et al. Pseudodifferential operators and Banach algebras in mobile communications , 2006 .
[69] G. Folland. A course in abstract harmonic analysis , 1995 .
[70] Michael Ruzhansky,et al. Hörmander Class of Pseudo-Differential Operators on Compact Lie Groups and Global Hypoellipticity , 2010, Journal of Fourier Analysis and Applications.
[71] E. Thiran,et al. Quantum mechanics on p-adic fields , 1989 .
[72] F. Luef,et al. On Accumulated Cohen’s Class Distributions and Mixed-State Localization Operators , 2018, Constructive Approximation.
[73] K. Gröchenig,et al. Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces , 2009, 0905.4954.
[74] K. Grōchenig,et al. The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces , 2010, 1010.0513.
[75] 곽순섭,et al. Generalized Functions , 2006, Theoretical and Mathematical Physics.
[76] K. Gröchenig,et al. Necessary conditions for Schatten class localization operators , 2005 .
[77] F. Voigtlaender,et al. On dual molecules and convolution-dominated operators , 2020, 2001.09609.
[78] Eirik Berge,et al. A Primer on Coorbit Theory -- From Basics to Recent Developments , 2021, 2101.05232.
[79] Karlheinz Gröchenig,et al. Time-Frequency Analysis of Sjöstrand's Class , 2004 .
[80] G. Kutyniok. Ambiguity functions, Wigner distributions and Cohen's class for LCA groups , 2003 .
[81] Franz Hlawatsch,et al. The Wigner distribution : theory and applications in signal processing , 1997 .
[82] João M. Pereira,et al. Sharp rates of convergence for accumulated spectrograms , 2017, 1704.02266.
[83] J. Toft. Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes , 2017 .
[84] L. Rodino,et al. Institute for Mathematical Physics Localization Operators and Exponential Weights for Modulation Spaces Localization Operators and Exponential Weights for Modulation Spaces , 2022 .
[85] V. Turunen. Time-frequency analysis on groups , 2020, 2009.08945.
[86] K. Gröchenig,et al. Time–Frequency analysis of localization operators , 2003 .
[87] Michael Ruzhansky,et al. $L^p$-$L^q$ multipliers on locally compact groups , 2015, 1510.06321.
[88] J. E. Moyal. Quantum mechanics as a statistical theory , 1949, Mathematical Proceedings of the Cambridge Philosophical Society.
[89] Shahla Molahajloo,et al. Pseudo-Differential Operators on ℤ , 2009 .
[90] Myoung An,et al. Time-frequency representations , 1997, Applied and numerical harmonic analysis.
[91] H. Feichtinger,et al. Banach Spaces of Distributions Defined by Decomposition Methods, I , 1985 .
[92] T. Strohmer,et al. Gabor Analysis and Algorithms , 2012 .
[93] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[94] H. Reiter. Classical Harmonic Analysis and Locally Compact Groups , 1968 .
[95] Hans G. Feichtinger,et al. Embedding theorems for decomposition spaces with applications to wavelet coorbit spaces , 2016 .
[96] H. Feichtinger. Generalized Amalgams, With Applications to Fourier Transform , 1990, Canadian Journal of Mathematics.
[97] H. Feichtinger,et al. A unified approach to atomic decompositions via integrable group representations , 1988 .
[98] Ronald A. DeVore,et al. Some remarks on greedy algorithms , 1996, Adv. Comput. Math..
[99] Mads S. Jakobsen. On a (No Longer) New Segal Algebra: A Review of the Feichtinger Algebra , 2016, 1608.04566.