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OverviewThe 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. Full Product DetailsAuthor: Carlos E. Kenig , Fang Hua Lin , Svitlana Mayboroda , Tatiana ToroPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.850kg ISBN: 9781470461270ISBN 10: 1470461277 Pages: 345 Publication Date: 30 January 2021 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsA. 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.ReviewsAuthor InformationCarlos 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 Tab Content 6Author Website:Countries AvailableAll regions |
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