Harmonic analysis and applications / Carlos E. Kenig, Fang Hua Lin, Svitlana Mayboroda, Tatiana Toro, editors.

Format:

Book

Contributor:

Kenig, Carlos E., 1953- editor.

Lin, Fanghua, editor.

Mayboroda, Svitlana, 1981- editor.

Toro, Tatiana, 1964- editor.

Series:

IAS/Park City mathematics series ; v. 27.

IAS/Park City mathematics series, 1079-5634 ; volume 27

Language:

English

Subjects (All):

Harmonic analysis.

Differential equations.

Physical Description:

xi, 345 pages: illustrations; 26 cm.

Place of Publication:

Providence : American Mathematical Society, [2020]

Summary:

"The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments"-- Provided by publisher.

Contents:

Lecture notes on quantitative unique continuation for solutions of second order elliptic equations / Alexander Logunov and Eugenia Malinnikova

Arithmetic spectral transitions: a competition between hyperbolicity and the arithmetics of small denominators / Svetlana Jitomirskaya, Wencai Liu, and Shiwen Zhang

Quantitative homogenization of elliptic operators with periodic coefficients / Zhongwei Shen

Stochastic homogenization of elliptic equations / Charles K. Smart

T1 and Tb theorems and applications / Simon Bortz, Steve Hofmann, and Jose Luis Luna

Sliding almost minimal sets and the plateau problem / G. David

Almgren's center manifold in a simple setting / Camillo De Lellis

Lecture notes on rectifiable Reifenberg for measures / Aaron Naber.

Notes:

Includes bibliographical references.

ISBN:

9781470461270

1470461277

OCLC:

1159617939