Biorthogonal expansions of functions in series of exponents on intervals of the real axis

Abstract

CONTENTS Introduction Chapter I. Non-harmonic Fourier series (behaviour on the initial interval) § 1.1. Minimal systems of exponentials § 1.2. Expansions of functions in , § 1.3. Expansions of functions in Comments and supplements Chapter II. Non-harmonic Fourier series (the behaviour on the real axis) § 2.1. Extension of convergence of quasi-polynomials § 2.2. Continuation of functions from the initial interval § 2.3. Convergence and summability of non-harmonic Fourier series in the -norm () on every segment Comments and supplements Chapter III. Properties of the system § 3.1. Basis properties § 3.2. Angles between subspaces of exponentials Comments and supplements References