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Construction of Wavelets Through Walsh Functions
ISBN-13:
9789811363702
Veröffentl:
2019
Seiten:
381
Autor:
Yu. A. Farkov
Serie:
Industrial and Applied Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh-Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar system, Haar-Vilenkin system, Walsh system, wavelet system and frame system, as well as updated results on the book's main theme.
Chapter 1. Introduction to Walsh Analysis and Wavelets.- Chapter 2. Walsh-Fourier Series.- Chapter 3. Haar-Fourier Analysis.- Chapter 4. Construction of Dyadic Wavelets through Walsh Functions.- Chapter 5. Orthogonal And Periodic Wavelets On Vilenkin Groups.- Chapter 6. Haar-Vilenkin Wavelet.- Chapter 7. Construction Biorthogonal Wavelets and Frames.- Chapter 8. Wavelets associated with Nonuniform Multiresolution analysis on positive half line.- Chapter 9. Orthogonal Vector Valued Wavelets on R+.- Appendices.
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