
Harmonic Analysis and Applications
American Mathematical Society (Publisher)
Published on 30. January 2021
Book
Hardback
345 pages
978-1-4704-6127-0 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
850 gr
ISBN-13
978-1-4704-6127-0 (9781470461270)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Carlos E. Kenig, University of Chicago, IL, Fang Hua Lin, New York University, Courant Institute, NY, Svitlana Mayboroda, University of Minnesota, Minneapolis, MN, and Tatiana Toro, University of Washington, Seattle, WA
Content
A. Logunov and E. Malinnikova, Lecture notes on quantitative unique continuation for solutions of second order elliptic equations
S. Jitomirskaya, W. Liu, and S. Zhang, Arithmetic spectral transitions: A competition between hyperbolicity and the arithmetics of small denominators
Z. Shen, Quantitative homogenization of elliptic operators with periodic coefficients
C. K. Smart, Stochastic homogenization of elliptic equations
S. Bortz, S. Hofmann, and J. L. Luna, T1 and Tb theorems and applications
G. David, Sliding almost minimal sets and the Plateau problem
C. De Lellis, Almgren's center manifold in a simple setting
A. Naber, Lecture notes on rectifiable Reifenberg for measures.
S. Jitomirskaya, W. Liu, and S. Zhang, Arithmetic spectral transitions: A competition between hyperbolicity and the arithmetics of small denominators
Z. Shen, Quantitative homogenization of elliptic operators with periodic coefficients
C. K. Smart, Stochastic homogenization of elliptic equations
S. Bortz, S. Hofmann, and J. L. Luna, T1 and Tb theorems and applications
G. David, Sliding almost minimal sets and the Plateau problem
C. De Lellis, Almgren's center manifold in a simple setting
A. Naber, Lecture notes on rectifiable Reifenberg for measures.