Pseudodifferential operators on ultra-modulation spaces

72 citations recorded by the source corpus.

How researchers see this paper

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

Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces (2008, background): “It is well known (see Pilipovi´ c and Teofanov [ 23 ], Gr¨ ochenig and Zimmermann [12], Cordero et al [8], Cappiello et al [7], and the references therein) that the Wigner and Fourier transform continuously map S σ (R n ) × S σ σ (R n )i ntoS σ σ (R 2n ). Moreover, we have:”
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.”
Weight Functions in Time-Frequency Analysis (2006, methodology): “For this reason, the M m were renamed ultra-modulation spaces by Pilipovic and Teofanov [36].”
Ultradistributions and Time-Frequency Analysis (2006, methodology): “For a relation between S L1,L2 and classes of symbol introduced in [5], [43] and [51], as well as for the continuity properties of the corresponding operators we refer to [38].”
Weight Functions in Time-Frequency Analysis (2006, methodology): “[8] E. Cordero, S. Pilipović, N. Teofanov, and L. Rodino.”