Regularity of Fourier integral operators on product spaces
Zipeng Wang
TL;DR
This paper extends the Seeger-Sogge-Stein theorem to product spaces by analyzing the regularity of Fourier integral operators with multi-parameter symbols, broadening understanding of their behavior in complex settings.
Contribution
It introduces a generalized framework for Fourier integral operators on product spaces with multi-parameter symbols, extending existing regularity results.
Findings
Extended Seeger-Sogge-Stein theorem to product spaces
Established regularity conditions for Fourier integral operators with multi-parameter symbols
Provided new insights into the behavior of Fourier integral operators in multi-parameter settings
Abstract
We study the regularity of Fourier integral operators, by allowing their symbols to satisfy certain multi-parameter characteristics. As a result, we give an extension of Seeger-Sogge-Stein theorem on product spaces.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods