Multilinear Fourier integral operators on modulation spaces-Reference-Cited by-同舟云学术

Multilinear Fourier integral operators on modulation spaces

Published:2024-01-04 Issue:5 Volume:36 Page:1393-1410
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Dasgupta Aparajita¹,Mohan Lalit¹,Mondal Shyam Swarup¹

Affiliation:

1. Department of Mathematics , Indian Institute of Technology , Delhi , Hauz Khas, New Delhi-110016 , India

Abstract

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 𝐒𝐆

{\mathbf{SG}}

-class.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/forum-2023-0158/pdf

Reference29 articles.

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1. Multilinear fourier integral operators on modulation spaces;Forum Mathematicum;2024-04-24