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Wavelet Analysis on Local Fields of Positive Characteristic

Wavelet Analysis on Local Fields of Positive Characteristic
Catalogue Information
Field name Details
Dewey Class 515.785
Title Wavelet Analysis on Local Fields of Positive Characteristic ([EBook] /) / by Biswaranjan Behera, Qaiser Jahan.
Author Behera, Biswaranjan
Added Personal Name Jahan, Qaiser
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2021.
Publication Singapore : : Springer Singapore : : Imprint: Springer, , 2021.
Physical Details XVII, 333 p. : online resource.
Series Indian Statistical Institute Series 2523-3122
ISBN 9789811678813
Summary Note 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. .:
Contents note 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.
Mode of acces to digital resource Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-981-16-7881-3
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