Harmonic Analysis and Applications

Inbunden, Engelska, 2021

Del i serien IAS/Park City Mathematics Series

1 294 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2021-01-30
Mått:178 x 254 x 27 mm
Vikt:850 g
Format:Inbunden
Språk:Engelska
Serie:IAS/Park City Mathematics Series
Antal sidor:345
Förlag:American Mathematical Society
ISBN:9781470461270

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

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

Innehållsförteckning

A. Logunov and E. Malinnikova, Lecture notes on quantitative unique continuation for solutions of second order elliptic equationsS. Jitomirskaya, W. Liu, and S. Zhang, Arithmetic spectral transitions: A competition between hyperbolicity and the arithmetics of small denominatorsZ. Shen, Quantitative homogenization of elliptic operators with periodic coefficientsC. K. Smart, Stochastic homogenization of elliptic equationsS. Bortz, S. Hofmann, and J. L. Luna, T1 and Tb theorems and applicationsG. David, Sliding almost minimal sets and the Plateau problemC. De Lellis, Almgren's center manifold in a simple settingA. Naber, Lecture notes on rectifiable Reifenberg for measures.