Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (Annals of Mathematics Studies): 194 - Image 1

£62.00

Princeton University Press Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (Annals of Mathematics Studies): 194

Name: Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (Annals of Mathematics Studies): 194
Brand: Princeton University Press
Price: 62.0 GBP
Availability: InStock

Functional Analysis

It has never been this cheap. We have no record of a lower price.

£62 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 46 days • 46 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 46 days • 1 price levels

Days at Price

Price Analysis

Most common price: £62 (46 days, 100.0%)

Price range: £62 - £62

Price levels: 1 different prices over 46 days

Description

This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface. Isroil Ikromov and Detlef Muller begin with Elias M. Stein's concept of Fourier restriction and some relations between the decay of the Fourier transform of the surface measure and Stein-Tomas type restriction estimates. Varchenko's ideas relating Fourier decay to associated Newton polyhedra are briefly explained, particularly the concept of adapted coordinates and the notion of height. It turns out that these classical tools essentially suffice already to treat the case where there exist linear adapted coordinates, and thus Ikromov and Muller concentrate on the remaining case. Here the notion of r-height is introduced, which proves to be the right new concept. They then describe decomposition techniques and related stopping time algorithms that allow to partition the given surface into various pieces, which can eventually be handled by means of oscillatory integral estimates. Different interpolation techniques are presented and used, from complex to more recent real methods by Bak and Seeger. Fourier restriction plays an important role in several fields, in particular in real and harmonic analysis, number theory, and PDEs. This book will interest graduate students and researchers working in such fields. About the Author Isroil A. Ikromov is professor of mathematics at Samarkand State University in Uzbekistan. Detlef Muller is professor of mathematics at the University of Kiel in Germany.

Product Specifications

Brand: Princeton University Press
Format: paperback
ASIN: 069117055X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 07 June 2016
Listed Since: 20 October 2015

Barcode

No barcode data available

Princeton University Press Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (Annals of Mathematics Studies): 194

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

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

Fourier Restriction, Decoupling, and Applications: 184 (Cambridge Studies in Advanced Mathematics, Series Number 184)

Singular Integrals and Fourier Theory on Lipschitz Boundaries

Measure and Integral: An Introduction to Real Analysis, Second Edition (Chapman & Hall/CRC Pure and Applied Mathematics)

Measure and Integral: An Introduction to Real Analysis, Second Edition: 308 (Chapman & Hall/CRC Pure and Applied Mathematics)

Fourier Integrals in Classical Analysis: 210 (Cambridge Tracts in Mathematics, Series Number 210)

Bounded Variation and Around (De Gruyter Series in Nonlinear Analysis & Applications): 17

Fourier Series in Several Variables with Applications to Partial Differential Equations (Chapman & Hall/Crc Applied Mathematics and Nonlinear Science)

Solving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, ... Fourier Series (Problem Books in Mathematics)

Convergence and Summability of Fourier Transforms and Hardy Spaces (Applied and Numerical Harmonic Analysis)

BochnerRiesz Means On Euclidean Spaces

Introduction to Pseudodifferential and Fourier Integral Operators: Pseudodifferential Operators (University Series in Mathematics)

The Ubiquitous Quasidisk (Mathematical Surveys and Monographs)

Functions Of Several Real Variables

Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s, Volumes I & II (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Analysis I: Convergence, Elementary functions (Universitext)

Geometric and Spectral Analysis - Contemporary Mathematics

New Trends in Approximation Theory: In Memory of André Boivin: 81 (Fields Institute Communications, 81)

Complex Analysis and Potential Theory (Crm Proceedings & Lecture Notes)

Analytic Partial Differential Equations: 359 (Grundlehren der mathematischen Wissenschaften, 359)

Springer Analysis and Partial Differential Equations - 275

Mathematics of Approximation: 1 (Mathematics Textbooks for Science and Engineering)

Frames and Other Bases in Abstract and Function Spaces: Novel Methods in Harmonic Analysis, Volume 1 (Applied and Numerical Harmonic Analysis)

Applied Hyperfunction Theory: 8 (Mathematics and its Applications, 8)