An Introduction to Non-Harmonic Fourier Series, Revised Edition, 93

Bases in Banach Spaces - Schauder Bases; Schauder’s Basis for C[a,b]; Or thonormal Bases in Hilbert Space; The Reproducing Kernel; Complete Seque nces;
The Coefficient Functionals; Duality; Riesz Bases; < BR id=‘CRLF’>The Stability of Bases in Banach Spaces; The Stability of O rthonormal Bases in Hilbert Space

Entire Func tions of Exponential Type

The Classical Facto rization Theorems - Weierstrass’s Factorization Theorem; Jensen’s Formul a; Functions of Finite Order; Estimates for Canonical Products; Hadamard ‘s Factorization Theorem

Restrictions Along a Line - The 'Phragmen-Lindelof’ Method; Carleman’s Formula; Integrabilit y on a line; The Paley-Wiener Theorem; The Paley-Wiener Space

The Completeness of Sets of Complex Exponentials -
The Trigonometric System; Exponentials Close to the Trigonomet ric System; A Counterexample; Some Intrinsic Properties of Sets of Compl ex Exponentials Stability; Density and the Completeness Rad ius

Interpolation and Bases in Hilbert Space equations.