欧几里得空间的傅里叶分析

《欧几里得空间的博里叶分析》内容简介：This book is designed to be an introduction to harmonic analysis inEuclidean spaces. The subject has seen a considerable flowering during thepast twenty years. We have not tried to cover all phases of this develop-ment. Rather, our chief concern was to illustrate various methods used inthis aspect of Fourier analysis that exploit the structure of Euclideanspa...

《欧几里得空间的博里叶分析》内容简介：This book is designed to be an introduction to harmonic analysis inEuclidean spaces. The subject has seen a considerable flowering during thepast twenty years. We have not tried to cover all phases of this develop-ment. Rather, our chief concern was to illustrate various methods used inthis aspect of Fourier analysis that exploit the structure of Euclideanspaces. In particular, we try to show the role played by the action oftranslations, dilations, and rotations. Another concern, not independentof this chief one, is to motivate the study of harmonic analysis on moregeneral spaces having an analogous structure （such as arises in symmetricspaces）. It is our feeling that the study of Fourier analysis in that contextand, also, in other general settings, is more meaningful once the specialEuclidean case is understood.