| 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 |
| 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 |
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Book DetailsIAS/Park City Mathematics SeriesVolume: 27; 2020; 345 ppMSC: 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.
ReadershipGraduate students and researchers interested in harmonic analysis and its applications to diffusion processes and propagation of waves.
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Table of Contents
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Articles
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Alexander Logunov and Eugenia Malinnikova — Lecture notes on quantitative unique continuation for solutions of second order elliptic equations
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Svetlana Jitomirskaya, Wencai Liu and Shiwen Zhang — Arithmetic spectral transitions: A competition between hyperbolicity and the arithmetics of small denominators
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Zhongwei Shen — Quantitative homogenization of elliptic operators with periodic coefficients
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Charles Smart — Stochastic homogenization of elliptic equations
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Simon Bortz, Steve Hofmann and José Luna — T1 and Tb theorems and applications
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Guy David — Sliding almost minimal sets and the Plateau problem
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Camillo De Lellis — Almgren’s center manifold in a simple setting
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Aaron Naber — Lecture notes on rectifiable Reifenberg for measures
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
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
