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Wavelet analysis on local fields of ...

Behera, Biswaranjan.

Wavelet analysis on local fields of positive characteristic

Record Type:	Electronic resources : Monograph/item
Title/Author:	Wavelet analysis on local fields of positive characteristicby Biswaranjan Behera, Qaiser Jahan.
Author:	Behera, Biswaranjan.
other author:	Jahan, Qaiser.
Published:	Singapore :Springer Singapore :2021.
Description:	xvii, 333 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Wavelets (Mathematics)
Online resource:	https://doi.org/10.1007/978-981-16-7881-3
ISBN:	9789811678813$q(electronic bk.)

Wavelet analysis on local fields of positive characteristic
Behera, Biswaranjan.

Wavelet analysis on local fields of positive characteristic[electronic resource] /by Biswaranjan Behera, Qaiser Jahan. - Singapore :Springer Singapore :2021. - xvii, 333 p. :ill., digital ;24 cm. - Indian Statistical Institute series,2523-3122. - Indian Statistical Institute series..

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.

ISBN: 9789811678813$q(electronic bk.)

Standard No.: 10.1007/978-981-16-7881-3doiSubjects--Topical Terms:

182734
Wavelets (Mathematics)

LC Class. No.: QA403.3 / .B44 2021

Dewey Class. No.: 515.2433

Wavelet analysis on local fields of positive characteristic
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490 1 $a Indian Statistical Institute series, $x 2523-3122
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520 $a 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.
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650 1 4 $a Abstract Harmonic Analysis. $3 274074
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650 2 4 $a Analysis. $3 273775
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856 4 0 $u https://doi.org/10.1007/978-981-16-7881-3
950 $a Mathematics and Statistics (SpringerNature-11649)