EAN: 9789811363696

CONSTRUCTION OF WAVELETS THROUGH WALSH FUNCTION...

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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