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＜電子ブック＞
Wavelet Analysis on Local Fields of Positive Characteristic / by Biswaranjan Behera, Qaiser Jahan
(Indian Statistical Institute Series. ISSN:25233122)

版	1st ed. 2021.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2021
大きさ	XVII, 333 p : online resource
著者標目	*Behera, Biswaranjan author Jahan, Qaiser author SpringerLink (Online service)
件　名	LCSH:Harmonic analysis LCSH:Fourier analysis LCSH:Mathematical analysis FREE:Abstract Harmonic Analysis FREE:Fourier Analysis FREE:Analysis
一般注記	Local Fields -- Multiresolution Analysis on Local Fields -- Affine, Quasi-Affine and Co-Affine Frames -- Characterizations in Wavelet Analysis -- Biorthogonal Wavelets -- Wavelet Packets and Frame Packets -- Wavelets as Unconditional Bases -- Shift-Invariant Spaces and Wavelets This book discusses the theory of wavelets on local fields of positive characteristic. The discussion starts with a thorough introduction to topological groups and local fields. It then provides a proof of the existence and uniqueness of Haar measures on locally compact groups. It later gives several examples of locally compact groups and describes their Haar measures. The book focuses on multiresolution analysis and wavelets on a local field of positive characteristic. It provides characterizations of various functions associated with wavelet analysis such as scaling functions, wavelets, MRA-wavelets and low-pass filters. Many other concepts which are discussed in details are biorthogonal wavelets, wavelet packets, affine and quasi-affine frames, MSF multiwavelets, multiwavelet sets, generalized scaling sets, scaling sets, unconditional basis properties of wavelets and shift invariant spaces. HTTP:URL=https://doi.org/10.1007/978-981-16-7881-3

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