Golubov B. Walsh Series and Transforms. Theory and App 1991

Textbook in PDF format

Front Matter
Walsh Functions and Their Generalizations
Walsh-Fourier Series. Basic Properties
General Walsh Series and Fourier-Stieltjes Series. Questions on Uniqueness of Representations of Functions by Walsh Series
Summability of Walsh Series by the Method of Arithmetic Means
Operators in the Theory of Walsh-Fourier Series
Generalized Multiplicative Transforms
Walsh Series with Monotone Decreasing Coefficients
Lacunary Subsystems of the Walsh System
Divergent Walsh-Fourier Series. Almost Everywhere Convergence of Walsh-Fourier Series of L 2 Functions
Approximations by Walsh and HAAR Polynomials
Applications of Multiplicative Series and Transforms to Digital Information Processing
Other Applications of Multiplicative Functions and Transformations
Back Matter