Construction of Wavelets Through Walsh Functions

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.

YURI A. FARKOV is a distinguished scientist and professor at the Russian Presidential Academy of National Economy and Public Administration (RANEPA), Moscow, Russia. Earlier, he worked as a professor and head of the Department of Mathematics at the Russian State Geological Prospecting University, Moscow, Russia, from 1997 to 2014; a professor and head of the Department of Higher  Mathematics at Dubna International University, Dubna, Russia, from 1996 to 2000; an associate professor at the Department of Higher Mathematics and Mathematical Modelling, Moscow State Geological Prospecting Academy, from 1988 to 1997; and a lecturer at the Department of Higher Mathematics, Moscow State University of Mechanical Engineering "Environmental and Chemical Engineering Institute", Moscow, from 1981 to 1988. In 2013, Prof. Farkov received his DSc-Doctor Fiz.- Mat. Nauk from the People's Friendship University of Russia on "Optimal Methods of Approximation of Function by Generalized Polynomials and Wavelets". In 1981, he received his PhD degree in Mathematics from Moscow Region Pedagogical Institute, on topic "Investigations of Asymptotic and Approximation Properties of Faber-Erokhin Basis Functions". From 1977 to 1980, he did his postgraduate studies at the Moscow Electro-Technical Engineering Institute; and in 1975, he received his BSc degree in Mathematics from Uralsk Pedagogical Institute, Kazakhstan. Professor Farkov is on the editorial boards of the journals American Journal of Computational Mathematics, Communications in Mathematics and Applications and International Journal of Education. He is a member of the Moscow Mathematical Society and American Mathematical Society. His research interests include mathematical analysis, wavelet theory, dyadic analysis and approximation theory. 
PAMMY MANCHANDA is a senior professor of mathematics at Guru Nanak Dev University, Amritsar, India. She has attended and delivered talks and chaired sessions at reputed academic

"The monograph is well written and the main concepts are clearly explained and presented. The contents are a comprehensive collection of results published during the last decades. The material is accessible to advanced undergraduate and graduate students with a good background in functional and Fourier analysis. For researchers, the volume is attractive for the broad and detailed presentation of the subject." (Peter R. Massopust, Mathematical Reviews, November, 2019)
"This book has an extensive bibliography of nearly 200 items and will be a valuable reference source. Since most chapters have exercises it could also be used as a textbook in an advanced graduate course. This work is noteworthy for its thoroughness, clarity, and historical perspective." (Richard A. Zalik, zbMath 1418.42002, 2019)