Catch Hold Of Introduction To Fourier Analysis On Euclidean Spaces (Pms-32), Volume 32 Scripted By Elias M. Stein File Format Leaflet

This book is one component of the Stein trilogy on harmonic analysis together with "Singular Integrals and Differentiability Properties of Functions" and "Harmonic Analysis", both also reviewed by myself, and as such it must be regarded as an authoritative reference on the subject since Elias Stein and Guido Weiss are two of the leading experts in the field, and the material they selected was taken from their teaching and research experience.
The authors present a unified treatment of basic topics that arise in Fourier analysis, Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.
g. , symmetric spaces. .