Estimates for a certain bilinear Fourier integral operator (original) (raw)
2023, arXiv (Cornell University)
AI-generated Abstract
This paper investigates estimates for the bilinear Fourier integral operator T φ σ, defined for functions in the Schwartz space. It establishes the boundedness from one function space to another based on certain phase functions and amplitudes, with particular attention to homogeneity and non-degeneracy conditions. The results extend existing theorems and provide optimal conditions for various bounds, contributing to the field of harmonic analysis.
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