{"product_id":"analysis-on-h-harmonics-and-dunkl-transforms-paperback","title":"Analysis on H-Harmonics and Dunkl Transforms - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eFeng Dai\u003c\/b\u003e (Author), \u003cb\u003eYuan Xu\u003c\/b\u003e (Author), \u003cb\u003eSergey Tikhonov\u003c\/b\u003e (Editor)\u003c\/p\u003e\u003cp\u003e​This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors' focus is on the analysis side of both h-harmonics and Dunkl transforms. Graduate students and researchers working in approximation theory, harmonic analysis, and functional analysis will benefit from this book.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAs a unique case in this \u003ci\u003eAdvanced Courses\u003c\/i\u003e book series, the authors have jointly written this introduction to \u003ci\u003eh\u003c\/i\u003e-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. \u003c\/p\u003e\u003cp\u003eThe theory, originally introduced by C. Dunkl, has been expanded on by many authors over the last 20 years. These notes provide an overview of what has been developed so far. The first chapter gives a brief recount of the basics of ordinary spherical harmonics and the Fourier transform. The Dunkl operators, the intertwining operators between partial derivatives and the Dunkl operators are introduced and discussed in the second chapter. The next three chapters are devoted to analysis on the sphere, and the final two chapters to the Dunkl transform.\u003c\/p\u003eThe authors' focus is on the analysis side of both \u003ci\u003eh\u003c\/i\u003e-harmonics and Dunkl transforms. The need for background knowledge on reflection groups is kept to a bare minimum.\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 118\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.4 x 9.4 x 6.6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 13, 2015\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47337249702137,"sku":"9783034808866","price":56.68,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/kY1T69XHlf9783034808866.webp?v=1769678565","url":"https:\/\/bookscloud.io\/products\/analysis-on-h-harmonics-and-dunkl-transforms-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}