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Ionescu-Wainger Theorem Simplified by Sanat Sharma is a document available to read on EtoBox.
What is Ionescu-Wainger Theorem Simplified about?
The document summarizes the Ionescu-Wainger multiplier theorem, which establishes good Lp bounds for Fourier multiplier operators localized to major arcs. It has become an indispensable tool in discrete harmonic analysis. The document gives a simplified proof of this theorem with more explicit constants, and presents a more general variant involving adelic Fourier multipliers. It also establishes a closely related adelic sampling theorem showing that lp(Zd) norms of functions with Fourier transform supporte
- Author
- Sanat Sharma
- Language
- EN