03214nam 22006135 450 991073371240332120251113202845.0981-16-7881-210.1007/978-981-16-7881-3(MiAaPQ)EBC6838811(Au-PeEL)EBL6838811(CKB)20275195300041(OCoLC)1291315954(PPN)259388378(DE-He213)978-981-16-7881-3(EXLCZ)992027519530004120211217d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierWavelet Analysis on Local Fields of Positive Characteristic /by Biswaranjan Behera, Qaiser Jahan1st ed. 2021.Singapore :Springer Nature Singapore :Imprint: Springer,2021.1 online resource (345 pages)Indian Statistical Institute Series,2523-3122Print version: Behera, Biswaranjan Wavelet Analysis on Local Fields of Positive Characteristic Singapore : Springer Singapore Pte. Limited,c2021 9789811678806 Includes bibliographical references and index.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. .Indian Statistical Institute Series,2523-3122Harmonic analysisFourier analysisMathematical analysisAbstract Harmonic AnalysisFourier AnalysisAnalysisHarmonic analysis.Fourier analysis.Mathematical analysis.Abstract Harmonic Analysis.Fourier Analysis.Analysis.515.2433Behera Biswaranjan1075201Jahan QaiserMiAaPQMiAaPQMiAaPQBOOK9910733712403321Wavelet Analysis on Local Fields of Positive Characteristic2584198UNINA