Gabor representation of generalized functions

From MaRDI portal
Publication:1158609

DOI10.1016/0022-247X(81)90130-XzbMath0473.46028OpenAlexW2060679092MaRDI QIDQ1158609

Augustus J. E. M. Janssen

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90130-x



Related Items

\(\delta\)-\(\beta\)-Gabor integral operators for a space of locally integrable generalized functions, A Riesz basis for Bargmann-Fock space related to sampling and interpolation, Gabor Schauder bases and the Balian-Low theorem, Quantum theta functions and Gabor frames for modulation spaces, Partial Gabor frames and dual frames, Frame of translates and its canonical dual in L2(G), Chromatic expansions in function spaces, Reproducing pairs of measurable functions, Balian–Low phenomenon for subspace Gabor frames, Remarks on multivariate Gaussian Gabor frames, Discrete vector-valued nonuniform Gabor frames, Elements of Postmodern Harmonic Analysis, Gabor frame bound optimizations, Uniform excess of \(g\)-frames, Gabor frames and totally positive functions, Unnamed Item, An interplay between Gabor and Wilson frames, Unnamed Item, Continuity properties of the Gabor frame operator, Multivariate Gabor frames and sampling of entire functions of several variables, Reproducing pairs and Gabor systems at critical density, Optimal bases of Gaussians in a Hilbert space: Applications in mathematical signal analysis, Frame constants of Gabor frames near the critical density, Gabor Analysis for Imaging, Weighted irregular Gabor tight frames and dual systems using windows in the Schwartz class, Constructing Tight Gabor Frames Using CAZAC Sequences, Weyl-Heisenberg frame operators and Kohn-Nirenberg symbols, Gabor frames in $l^2 (\mathbb Z)$ from Gabor frames in $L^2 (\mathbb R)$, A necessary and sufficient condition for dual Weyl-Heisenberg frames to be compactly supported, On perturbations of irregular Gabor frames, Some Weyl-Heisenberg frame bound calculations., Discrete Gabor transforms: The Gabor-Gram matrix approach, Gabor Expansions of Signals: Computational Aspects and Open Questions, A universal identifier for communication channels, Convergence and summability of Gabor expansions at the Nyquist density



Cites Work