{"product_id":"lebesgue-points-and-summability-of-ferenc-weisz-9783030746353","title":"Lebesgue Points and Summability of Higher Dimensional Fourier Series","description":"\u003cp\u003eThis monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fej駻 and Ces灑o 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 \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 \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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ferenc Weisz\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3030746356\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783030746353\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/13\/2021\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 290\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.33lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.75d","brand":"Ferenc Weisz","offers":[{"title":"Hardcover","offer_id":44127576948991,"sku":"9783030746353","price":159.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_93f8cd91-45c1-4c42-b510-81eb12305b63.jpg?v=1687454090","url":"https:\/\/www.whiterainbookhouse.com\/products\/lebesgue-points-and-summability-of-ferenc-weisz-9783030746353","provider":"WR Book House","version":"1.0","type":"link"}