001437418 000__ 03329cam\a2200517\i\4500
001437418 001__ 1437418
001437418 003__ OCoLC
001437418 005__ 20230309004147.0
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001437418 008__ 210617s2021\\\\sz\a\\\\ob\\\\001\0\eng\d
001437418 019__ $$a1257078231
001437418 020__ $$a9783030746360$$q(electronic bk.)
001437418 020__ $$a3030746364$$q(electronic bk.)
001437418 020__ $$z9783030746353
001437418 020__ $$z3030746356
001437418 0247_ $$a10.1007/978-3-030-74636-0$$2doi
001437418 035__ $$aSP(OCoLC)1256804490
001437418 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dOCLCQ$$dCOM$$dOCLCO$$dWAU$$dOCLCQ
001437418 049__ $$aISEA
001437418 050_4 $$aQA404$$b.W45 2021
001437418 08204 $$a515/.2433$$223
001437418 1001_ $$aWeisz, Ferenc,$$d1964-$$eauthor.
001437418 24510 $$aLebesgue points and summability of higher dimensional Fourier series /$$cFerenc Weisz.
001437418 264_1 $$aCham :$$bBirkhäuser,$$c[2021]
001437418 264_4 $$c©2021
001437418 300__ $$a1 online resource (xiii, 290 pages) :$$billustrations (black and white and color)
001437418 336__ $$atext$$btxt$$2rdacontent
001437418 337__ $$acomputer$$bc$$2rdamedia
001437418 338__ $$aonline resource$$bcr$$2rdacarrier
001437418 504__ $$aIncludes bibliographical references and index.
001437418 5050_ $$aOne-dimensional Fourier series -- lq-summability of higher dimensional Fourier series -- Rectangular summability of higher dimensional Fourier series -- Lebesgue points of higher dimensional functions.
001437418 506__ $$aAccess limited to authorized users.
001437418 520__ $$aThis monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue's theorem, filling a gap in the literature. Recent results and real-world applications are highlighted as well, making this a timely resource. The book is structured into four chapters, prioritizing clarity throughout. Chapter One covers basic results from the one-dimensional Fourier series, and offers a clear proof of the Lebesgue theorem. In Chapter Two, convergence and boundedness results for the lq-summability are presented. The restricted and unrestricted rectangular summability are provided in Chapter Three, as well as the sufficient and necessary condition for the norm convergence of the rectangular theta-means. Chapter Four then introduces six types of Lebesgue points for higher dimensional functions. Lebesgue Points and Summability of Higher Dimensional Fourier Series will appeal to researchers working in mathematical analysis, particularly those interested in Fourier and harmonic analysis. Researchers in applied fields will also find this useful.
001437418 650_0 $$aFourier series.
001437418 650_0 $$aSummability theory.
001437418 650_6 $$aSéries de Fourier.
001437418 650_6 $$aSommabilité.
001437418 655_0 $$aElectronic books.
001437418 77608 $$iPrint version: $$z3030746356$$z9783030746353$$w(OCoLC)1243349442
001437418 852__ $$bebk
001437418 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-74636-0$$zOnline Access$$91397441.1
001437418 909CO $$ooai:library.usi.edu:1437418$$pGLOBAL_SET
001437418 980__ $$aBIB
001437418 980__ $$aEBOOK
001437418 982__ $$aEbook
001437418 983__ $$aOnline
001437418 994__ $$a92$$bISE