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Princeton University Press Fourier Restriction for Hypersurfaces (AM-194) - Princeton Press

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Description

Explore a groundbreaking advancement in mathematical analysis with Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194). This volume from the Annals of Mathematics Studies series provides the first complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions. Authors Isroil Ikromov and Detlef Muller provide a deep dive into real-analytic hypersurfaces, using Newton polyhedra to describe the valid range of Lebesgue spaces for these estimates. The text builds upon the foundational concepts of Elias M. Stein regarding Fourier restriction and the relationship between the decay of the Fourier transform of surface measure and Stein-Tomas type restriction estimates. By integrating Varchenko's ideas, this book serves as a vital resource for researchers and students specializing in functional analysis and mathematical analysis. It offers a clear, structured approach to understanding complex geometric and analytic properties of hypersurfaces.

Key Features

Provides the first complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions.

Includes comprehensive coverage of all real-analytic hypersurfaces within the study of three-dimensional surfaces.

Utilizes Newton polyhedra to describe the specific range of Lebesgue spaces for which these estimates are valid.

Connects Elias M. Stein's concepts of Fourier restriction to the decay of the Fourier transform of surface measure.

Incorporates Varchenko's ideas to expand the mathematical framework of restriction estimates.

Part of the respected Annals of Mathematics Studies series (AM-194) published by Princeton University Press.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
07 June 2016
Listed Since
20 October 2015

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