A Panorama of Harmonic Analysis : Panaroma of Harmonic Analysis ISBN: 9781614440260 Platform/Publisher: Ebook Central / American Mathematical Society Digital rights:Users: Unlimited; Printing: Limited; Download: 7 Days at a Time Subjects: Mathematics;
Tracing a path from the earliest beginnings of Fourier series through to the latest research, this work discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax is a consideration of ideas from the point of view of spaces of homogeneous type, which culminates in a discussion of wavelets. This book is intended for graduate students and advanced undergraduates, and mathematicians of whatever background who want a clear and concise overview of the subject of commutative harmonic analysis.