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Multilinear Fourier integral operators on modulation spaces.

Authors :
Dasgupta, Aparajita
Mohan, Lalit
Mondal, Shyam Swarup
Source :
Forum Mathematicum. Sep2024, Vol. 36 Issue 5, p1393-1410. 18p.
Publication Year :
2024

Abstract

In this article, we study properties of multilinear Fourier integral operators on weighted modulation spaces. In particular, using the theory of Gabor frames, we study boundedness of multilinear Fourier integral operators on products of weighted modulation spaces. Further, we investigate the periodic multilinear Fourier integral operator. Finally, we study continuity of bilinear pseudo-differential operators on modulation spaces for certain symbol classes, namely 퐒퐆 -class. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09337741
Volume :
36
Issue :
5
Database :
Academic Search Index
Journal :
Forum Mathematicum
Publication Type :
Academic Journal
Accession number :
179272153
Full Text :
https://doi.org/10.1515/forum-2023-0158