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Titlebook: Methods of Applied Fourier Analysis; Jayakumar Ramanathan Book 1998 Springer Science+Business Media New York 1998 Analysis.Fourier transfo

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發(fā)表于 2025-3-21 19:21:42 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Methods of Applied Fourier Analysis
編輯Jayakumar Ramanathan
視頻videohttp://file.papertrans.cn/633/632353/632353.mp4
叢書名稱Applied and Numerical Harmonic Analysis
圖書封面Titlebook: Methods of Applied Fourier Analysis;  Jayakumar Ramanathan Book 1998 Springer Science+Business Media New York 1998 Analysis.Fourier transfo
出版日期Book 1998
關(guān)鍵詞Analysis; Fourier transform; Mathematics; algorithms; discrete Fourier transform; harmonic analysis; linea
版次1
doihttps://doi.org/10.1007/978-1-4612-1756-5
isbn_softcover978-1-4612-7267-0
isbn_ebook978-1-4612-1756-5Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer Science+Business Media New York 1998
The information of publication is updating

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Prediction Theory, The problem of constructing prediction schemes based on this partial information has no unique answer and often depends on further characteristics of the data. In this chapter, we will give an introduction to the mathematics behind this problem.
地板
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Harmonic Analysis in Euclidean Space,ntegral expansions, and the theory of inversion will have a different flavor than in the previous case. However, the underlying themes in this chapter will be the same as those of chapter 2: convolution and approximation, Plancherel’s theorem, Bochner’s theorem etc.
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Distributions,culations without the need for concern about where various intermediate objects lie. An illustration of the power in this point of view is offered in the last section where Sobolev spaces and the regularity of Poisson’s equation are discussed.
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Wavelet Analysis, wavelet bases from such structures. An associated filtering theory, known in the engineering literature as quadrature mirror filters, is also discussed. These constructions are carried out for the various examples of multiresolution approximations. The chapter concludes with an introduction to the construction of compactly supported wavelets.
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