The Boundedness of Pseudodifferential Operators on Modulation Spaces

By K. Tachizawa. 2006

73 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a2f469ffe498957e0a7fe0ae182301a5333f83cb

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Modulation Spaces: Looking Back and Ahead (2006, methodology): “, [184, 119, 185, 151, 152, 169, 39, 129, 120, 2, 13, 19, 22, 186, 188, 187, 170, 12, 23].”
Banach frames for multivariate α-modulation spaces (2006, background): “Pseudodierent ial operators on modulation spaces have also been studied, see e.g. [ 21 , 14].”
Time-Frequency Analysis of Sj\"ostrand's Class (2004, background): “The action of pseudodifferential operators with classical symbols on modulation spaces was investigated by Tachizawa [ 41 ] in 1994; general modulation spaces as symbol classes for pseudodifferential operators were introduced in [23] independently of Sj¨ostrand’s work.”
Frame Decomposition of Decomposition Spaces (2007, background): “Pseudo-differential and Fourier integral operators on Besov and modulation spaces have been studied extensively, see [2, 4, 7, 9, 11, 12, 33, 40, 42, 45, 46] and references herein.”
Ultradistributions and Time-Frequency Analysis (2006, background): “Modulation spaces M p,q, where 1 ≤ p, q < ∞ and w(x + y, ξ + η) ≤ C(1 + |x|+ |ξ|)w(y, η), for some C > 0 and all x, y, ξ, η ∈ R, are studied in [1], [15], [19] and [43].”
Time-Frequency Analysis of Sjöstrand's Class (2004, background): “The action of pseudodifferential operators with classical symbols on modulation spaces was investigated by Tachizawa [41] in 1994; general modulation spaces as symbol classes for pseudodifferential operators were introduced in [23] independently of Sjöstrand's work.”