{"product_id":"9783030746384","title":"Lebesgue Points and Summability of Higher Dimensional Fourier Series","description":"\u003ch1\u003eLebesgue Points and Summability of Higher Dimensional Fourier Series\u003c\/h1\u003e \u003ch2\u003eWeisz, Ferenc\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue’s theorem, filling a gap in the literature. Recent results and real-world applications are highlighted as well, making this a timely resource.\u003c\/p\u003e\n\n\u003cp\u003eThe book is structured into four chapters, prioritizing clarity throughout. Chapter One covers basic results from the one-dimensional Fourier series, and offers a clear proof of the Lebesgue theorem. In Chapter Two, convergence and boundedness results for the \u003ci\u003el\u003csub\u003eq\u003c\/sub\u003e\u003c\/i\u003e-summability are presented. The restricted and unrestricted rectangular summability are provided in Chapter Three, as well as the sufficient and necessary condition for the norm convergence of the rectangular theta-means. Chapter Four then introduces six types of Lebesgue points for higher dimensional functions.\u003c\/p\u003e\n\n\u003cp\u003e\u003ci\u003eLebesgue Points and Summability of Higher Dimensional Fourier Series\u003c\/i\u003e will appeal to researchers working in mathematical analysis, particularly those interested in Fourier and harmonic analysis. Researchers in applied fields will also find this useful.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2022-06-14\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030746384\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-74636-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 290\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44809742712972,"sku":"9783030746384","price":143.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030746384.jpg?v=1776051567","url":"https:\/\/lateknightbooks.com\/products\/9783030746384","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}