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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. Based on lectures that the authors
presented at several international conferences, the notions and
concepts introduced in this interdisciplinary book can be applied
to any situation where wavelets and their variants are used. Most
of the applications of wavelet analysis and Walsh analysis can be
tried for newly constructed wavelets. Given its breadth of
coverage, the book offers a valuable resource for theoreticians and
those applying mathematics in diverse areas. It is especially
intended for graduate students of mathematics and engineering and
researchers interested in applied analysis.
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. Based on lectures that the authors
presented at several international conferences, the notions and
concepts introduced in this interdisciplinary book can be applied
to any situation where wavelets and their variants are used. Most
of the applications of wavelet analysis and Walsh analysis can be
tried for newly constructed wavelets. Given its breadth of
coverage, the book offers a valuable resource for theoreticians and
those applying mathematics in diverse areas. It is especially
intended for graduate students of mathematics and engineering and
researchers interested in applied analysis.
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