Time-Frequency Analysis of Sj\"ostrand's Class

By Karlheinz Gröchenig. 2004

69 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/f38b8c8c41fbe5dd8db8d4296734ad64ea4ff12d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Stability of Localized Operators (2008, methodology): “Jaffard’s result ([42]) for infinite matrices with polynomial decay was used in numerical analysis ([17,58,59]), wavelet analysis ([42]), time-frequency analysis ([31,32,33]) and sampling ([4,24,33,63]); and the Sj¨ostrand’s result ([56]) for infinite matrices was used in the study of pseudo-differe”
Pseudodifferential operators on locally compact abelian groups and Sjöstrand's symbol class (2006, methodology): “Analogous to [ 19 ] we define the modulation space Mp,q m (G) as the completion of the space SC(G) with respect to the Mp,q m -norm, when p,q 19 ] and in a”
Convergence Analysis of the Finite Section Method and Banach Algebras of Matrices (2010, background): “This type of “convolution-dominated” decay of matrices plays an important role in the discretization of pseudodierential operators with respect to Gabor frames [ 12 , 15] and in mobile communications [28].”
Banach algebras of pseudodifferential operators and their almost diagonalization (2007, methodology): “gram (4.18). The next lemma taken from [ 27 ] explains the additional properties of M(σ).”
Wiener’s Lemma for Infinite Matrices II (2007, methodology): “... was used in the study the decay properties of the dual Gabor frame for L2 ([3, 23, 24]); the Jaard’s result ([26]) for infinite matrices with polynomial decay was used in numerical analysis ([8, 34, 35]), wavelet analysis ([26]), time-frequency analysis ([19, 20, 21]) and sampling ([2, 14, 21]);”
Unimodular Fourier multipliers for modulation spaces (2006, unknown): “class, see also [14, 15 , 23, 30] and the references therein.”