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Titlebook: An Introduction to Frames and Riesz Bases; Ole Christensen Textbook 20031st edition Springer Science+Business Media New York 2003 Hilbert

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发表于 2025-3-21 18:22:59 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Frames and Riesz Bases
影响因子2023Ole Christensen
视频videohttp://file.papertrans.cn/156/155259/155259.mp4
发行地址Basic results presented in an accessible way for both pure and applied mathematicians.Extensive exercises make the work suitable as a textbook for use in graduate courses.Full proofs included in intro
学科分类Applied and Numerical Harmonic Analysis
图书封面Titlebook: An Introduction to Frames and Riesz Bases; Ole Christensen Textbook 20031st edition Springer Science+Business Media New York 2003 Hilbert
影响因子The Applied and Numerical Harmonic Analysis ( ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har­ monic analysis to basic applications. The title of the series reflects the im­ portance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applications and their creative symbi­ otic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has flour­ ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilization with diverse areas. The intricate and fundamental relationship between harmonic analysis and fields such as sig­ nal processing, partial differential equations (PDEs), and image processing is reflected in our state of the art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time­ frequency an
Pindex Textbook 20031st edition
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https://doi.org/10.1007/978-3-642-47780-5imilar structure. The relevant conditions were discovered by Janssen, and the main part of this chapter will deal with his results..One can also consider frames in ..(ℤ) with a Gabor-like structure without referring to frames in ..(ℝ). The theory for these frames is very similar to the Gabor theory in ..(ℝ) and will not be discussed in detail.
贫穷地活
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四溢
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,Gabor Frames in ℓ2(ℤ),imilar structure. The relevant conditions were discovered by Janssen, and the main part of this chapter will deal with his results..One can also consider frames in ..(ℤ) with a Gabor-like structure without referring to frames in ..(ℝ). The theory for these frames is very similar to the Gabor theory in ..(ℝ) and will not be discussed in detail.
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漫不经心
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https://doi.org/10.1007/978-0-8176-8224-8Hilbert space; Symbol; digital signal processing; functional analysis; image processing; mathematical phy
Range-Of-Motion
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978-1-4612-6500-9Springer Science+Business Media New York 2003
恃强凌弱
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Die Controle des Wirthschaftsbetriebesination of the elements in the basis. However, the conditions to a basis are very restrictive — no linear dependence between the elements is possible and sometimes we even want the elements to be orthogonal with respect to an inner product. This makes it hard or even impossible to find bases satisfy
Nefarious
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