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[null,"1.","Record Nr.",null,"UNISA996466412603316"]
[null,null,"Autore",null,"Weisz Ferenc <1964->"]
[null,null,"Titolo",null,"Lebesgue points and summability of higher dimensional Fourier series / / Ferenc Weisz"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Birkhäuser, , [2021]"]
[{"$nulls":4},"©2021"]
[null,null,"ISBN",null,"3-030-74636-4"]
[null,null,"Edizione",null,"[1st ed. 2021.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XIII, 290 p. 24 illus., 1 illus. in color.)"]
[null,null,"Disciplina",null,"515.243"]
[null,null,"Soggetti",null,"Summability theory"]
[{"$nulls":4},"Sèries de Fourier"]
[{"$nulls":4},"Sumabilitat"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"One-dimensional Fourier series -- lq-summability of higher dimensional Fourier series -- Rectangular summability of higher dimensional Fourier series -- Lebesgue points of higher dimensional functions."]
[null,null,null,"Sommario/riassunto","This 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 "]
[{"$nulls":4},"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."]