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Titlebook: Explorations in Harmonic Analysis; With Applications to Steven G. Krantz Textbook 2009 Birkh?user Boston 2009 Fourier analysis.Fourier tran

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書目名稱Explorations in Harmonic Analysis
副標題With Applications to
編輯Steven G. Krantz
視頻videohttp://file.papertrans.cn/320/319412/319412.mp4
概述Provides an introduction to a particular direction in modern harmonic analysis.Self-contained text on analysis of integral operators.Presents both fundamentals and applications of harmonic analysis, e
叢書名稱Applied and Numerical Harmonic Analysis
圖書封面Titlebook: Explorations in Harmonic Analysis; With Applications to Steven G. Krantz Textbook 2009 Birkh?user Boston 2009 Fourier analysis.Fourier tran
描述Harmonic analysis is a venerable part of modern mathematics. Its roots began, perhaps, with late eighteenth-century discussions of the wave equation. Using the method of separation of variables, it was realized that the equation could be solved with a data function of the form?(x)= sin jx for j? Z.Itwasnaturaltoask, using the philosophy of superposition, whether the equation could then be solved with data on the interval [0,?] consisting of a nite linear combinationof the sin jx. With an af rmative answer to that question, one is led to ask about in?nite linear combinations. This was an interesting venue in which physical reasoning interacted with mathematical reasoning. Physical intuition certainly suggests that any continuous function? can be a data function for the wave equation. So one is led to ask whether any continuous? can be expressed as an (in nite) superposition of sine functions. Thus was born the fundamental question of Fourier series. No less an eminence gris than Leonhard Euler argued against the proposition.
出版日期Textbook 2009
關鍵詞Fourier analysis; Fourier transform; Singular integral; complex function theory; harmonic analysis; integ
版次1
doihttps://doi.org/10.1007/978-0-8176-4669-1
isbn_ebook978-0-8176-4669-1Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightBirkh?user Boston 2009
The information of publication is updating

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2296-5009 s both fundamentals and applications of harmonic analysis, eHarmonic analysis is a venerable part of modern mathematics. Its roots began, perhaps, with late eighteenth-century discussions of the wave equation. Using the method of separation of variables, it was realized that the equation could be so
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Healthcare and Big Data ManagementIn some vague sense, the collection of all fractional and singular integrals forms a poor man’s version of a classical calculus of pseudodifferential operators. Certainly a fractional integral is very much like the parametrix for a strongly elliptic operator.
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