Publication

2020 - American Mathematical Society

Language

English

Word Count

86,250 words, Guess

Page Count

345 pages

Identifiers

Classifications

  • LCCQA403.H215 2020

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"--

Subjects

Topics

MathematicsHarmonic analysisDifferential equationsPartial differential equations -- Proceedings, conferences, collections, etc..Harmonic analysis on Euclidean spaces -- Proceedings, conferences, collections, etc..Measure and integration {For analysis on manifolds, see 58-XX} -- Proceedings, conferences, collections, etc..Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Proceedings, conferences, collections, etc..

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