Convergence and summability of Fourier transforms and Hardy spaces [Documento eletrónico] / Ferenc Weisz
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, 2017Description: XXII, 435 p. : il.ISBN: 978-3-319-56814-0.Series: Applied and Numerical Harmonic AnalysisSubject - Topical Name: Análise de Fourier | Análise harmónica | Sequências (Matemática) Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA403.5.SPR FCT 97465 (Browse shelf(Opens below)) | 1 | Available |
Colocação: Online
This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations. Following on the classic books by Bary (1964) and Zygmund (1968), this is the first book that considers strong summability introduced by current methodology. A further unique aspect is that the Lebesgue points are also studied in the theory of multi-dimensional summability. In addition to classical results, results from the past 20-30 years – normally only found in scattered research papers – are also gathered and discussed, offering readers a convenient “one-stop” source to support their work. As such, the book will be useful for researchers, graduate and postgraduate students alike.
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