{"product_id":"lebesgue-points-and-summability-of-higher-dimensional-fourier-series-9783030746384","title":"Lebesgue Points and Summability of Higher Dimensional Fourier Series","description":"\u003cp\u003e • Author(s): Ferenc Weisz\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\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\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","brand":"Springer","offers":[{"title":"Paperback","offer_id":45279818711191,"sku":"9783030746384","price":10283.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783030746384.webp?v=1769294639","url":"https:\/\/atlanticbooks.com\/products\/lebesgue-points-and-summability-of-higher-dimensional-fourier-series-9783030746384","provider":"Atlantic Books","version":"1.0","type":"link"}