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Harmonic Analysis and Applications
 
Edited by: Carlos E. Kenig University of Chicago, Chicago, IL
Fang Hua Lin New York University, Courant Institute, New York, NY
Svitlana Mayboroda University of Minnesota, Minneapolis, MN
Tatiana Toro University of Washington, Seattle, WA
A co-publication of the AMS, IAS/Park City Mathematics Institute, and Society for Industrial and Applied Mathematics
Harmonic Analysis and Applications
Hardcover ISBN:  978-1-4704-6127-0
Product Code:  PCMS/27
List Price: $110.00
MAA Member Price: $99.00
AMS Member Price: $88.00
eBook ISBN:  978-1-4704-6281-9
Product Code:  PCMS/27.E
List Price: $110.00
MAA Member Price: $99.00
AMS Member Price: $88.00
Hardcover ISBN:  978-1-4704-6127-0
eBook: ISBN:  978-1-4704-6281-9
Product Code:  PCMS/27.B
List Price: $220.00 $165.00
MAA Member Price: $198.00 $148.50
AMS Member Price: $176.00 $132.00
Harmonic Analysis and Applications
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Harmonic Analysis and Applications
Edited by: Carlos E. Kenig University of Chicago, Chicago, IL
Fang Hua Lin New York University, Courant Institute, New York, NY
Svitlana Mayboroda University of Minnesota, Minneapolis, MN
Tatiana Toro University of Washington, Seattle, WA
A co-publication of the AMS, IAS/Park City Mathematics Institute, and Society for Industrial and Applied Mathematics
Hardcover ISBN:  978-1-4704-6127-0
Product Code:  PCMS/27
List Price: $110.00
MAA Member Price: $99.00
AMS Member Price: $88.00
eBook ISBN:  978-1-4704-6281-9
Product Code:  PCMS/27.E
List Price: $110.00
MAA Member Price: $99.00
AMS Member Price: $88.00
Hardcover ISBN:  978-1-4704-6127-0
eBook ISBN:  978-1-4704-6281-9
Product Code:  PCMS/27.B
List Price: $220.00 $165.00
MAA Member Price: $198.00 $148.50
AMS Member Price: $176.00 $132.00
  • Book Details
     
     
    IAS/Park City Mathematics Series
    Volume: 272020; 345 pp
    MSC: Primary 42; 53; 35; 28;

    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.

    Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.

    Readership

    Graduate students and researchers interested in harmonic analysis and its applications to diffusion processes and propagation of waves.

  • Table of Contents
     
     
    • Articles
    • Alexander Logunov and Eugenia Malinnikova — Lecture notes on quantitative unique continuation for solutions of second order elliptic equations
    • Svetlana Jitomirskaya, Wencai Liu and Shiwen Zhang — Arithmetic spectral transitions: A competition between hyperbolicity and the arithmetics of small denominators
    • Zhongwei Shen — Quantitative homogenization of elliptic operators with periodic coefficients
    • Charles Smart — Stochastic homogenization of elliptic equations
    • Simon Bortz, Steve Hofmann and José Luna — T1 and Tb theorems and applications
    • Guy David — Sliding almost minimal sets and the Plateau problem
    • Camillo De Lellis — Almgren’s center manifold in a simple setting
    • Aaron Naber — Lecture notes on rectifiable Reifenberg for measures
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 272020; 345 pp
MSC: Primary 42; 53; 35; 28;

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.

Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.

Readership

Graduate students and researchers interested in harmonic analysis and its applications to diffusion processes and propagation of waves.

  • Articles
  • Alexander Logunov and Eugenia Malinnikova — Lecture notes on quantitative unique continuation for solutions of second order elliptic equations
  • Svetlana Jitomirskaya, Wencai Liu and Shiwen Zhang — Arithmetic spectral transitions: A competition between hyperbolicity and the arithmetics of small denominators
  • Zhongwei Shen — Quantitative homogenization of elliptic operators with periodic coefficients
  • Charles Smart — Stochastic homogenization of elliptic equations
  • Simon Bortz, Steve Hofmann and José Luna — T1 and Tb theorems and applications
  • Guy David — Sliding almost minimal sets and the Plateau problem
  • Camillo De Lellis — Almgren’s center manifold in a simple setting
  • Aaron Naber — Lecture notes on rectifiable Reifenberg for measures
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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