TL;DR: In this article, the authors present a model for vector analysis based on the Calculus of Variations and the Sturm-Liouville theory, which includes the following: Curved Coordinates, Tensors.
Abstract: Vector Analysis. Curved Coordinates, Tensors. Determinants and Matrices. Group Theory. Infinite Series. Functions of a Complex Variable I. Functions of a Complex Variable II. Differential Equations. Sturm-Liouville Theory. Gamma-Factrial Function. Bessel Functions. Legendre Functions. Special Functions. Fourier Series. Integral Transforms. Integral Equations. Calculus of Variations. Nonlinear Methods and Chaos.
TL;DR: In this paper, the convergence of Walsh-Fourier coefficients dyadic martingales and Hardy spaces convergence in norm approximation and convergence and summability of uniqueness representation by Walsh series the Walsh Fourier transform.
Abstract: Introduction Walsh-Fourier coefficients dyadic martingales and Hardy spaces convergence in norm approximation and bases almost everywhere convergence and summability of Walsh-Fourier series uniqueness representation by Walsh series the Walsh-Fourier transform.
TL;DR: Some reciprocity theorems are proved which link two such series together and the basic properties of such power series of significance to combinatorics are surveyed.