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Feldname	Details
Dewey Class	515.2433
Titel	Fourier restriction, decoupling and applications (M) / Ciprian Demeter
Verfasser	Demeter, Ciprian
Veröffentl	Cambridge : Cambridge University Press , 2021
Physical Details	xvi, 331 pages : ill. ; 24 cm.
Reihe	Cambridge studies in advanced mathematics ; 184
ISBN	9781108499705
Summary Note	The last fifteen years have seen a flurry of exciting developments in Fourier restriction theory, leading to significant new applications in diverse fields. This timely text brings the reader from the classical results to state-of-the-art advances in multilinear restriction theory, the Bourgain-Guth induction on scales and the polynomial method. Also discussed in the second part are decoupling for curved manifolds and a wide variety of applications in geometric analysis, PDEs (Strichartz estimates on tori, local smoothing for the wave equation) and number theory (exponential sum estimates and the proof of the Main Conjecture for Vinogradov's Mean Value Theorem). More than 100 exercises in the text help reinforce these important but often difficult ideas, making it suitable for graduate students as well as specialists. Written by an author at the forefront of the modern theory, this book will be of interest to everybody working in harmonic analysis:
LINKS ZU 'VERWANDTEN WERKEN	Schlagwörter: . Decoupling (Mathematics) . Fourier Analysis . Authors: Demeter, Ciprian . Series: Cambridge studies in advanced mathematics . Classification: 515.2433 .

#	Verfasser	Titel
1	. Jost, Jürgen 1956- 1	. Nonpositive curvature: geometric and analytic aspects 1
2	. Jost, Jürgen 1956- 2	. Calculus of variations 2
3	. Jost, Jürgen 1956- 3	. Harmonic maps between surfaces: with a special chapter on conformal mappings 3
4		. Geometric analysis and the calculus of variations for Stefan Hildebrandt 4
5	. Jost, Jürgen 1956- 5	. Compact Riemann surfaces: an introduction to contemporary mathematics 5

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