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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
BILINEAR FOURIER INTEGRAL OPERATOR AND ITS BOUNDEDNESS
Type
JournalPaper
Keywords
Fourier integral operator; boundedness; modulation spaces
Year
2011
Journal International Journal of Nonlinear Analysis and Ap
DOI
Researchers Mohsen Alimohammady ، Fariba Fattahi

Abstract

We consider the bilinear Fourier integral operator Sσ(f, g)(x) = Z Rd Z Rd e iφ1(x,ξ) e iφ2(x,η)σ(x, ξ, η) ˆf(ξ)ˆg(η)dξ dη, on modulation spaces. Our aim is to indicate this operator is well defined on S(R d ) and shall show the relationship between the bilinear operator and BFIO on modulation spaces.