Elements of the theory of functions and functional analysis /

Kolmogorov, A. N.

Elements of the theory of functions and functional analysis / A. N. Kolmogorov and S. V. Fomin. - First edition. - 2 volumenes : figuras. - Dover Books on Mathematics. .

Incluye índice.

VOLUME 1: Metric and normed spaces. CHAPTER I. FUNDAMENTALS OF SET THEORY. - CHAPTER II. METRIC SPACES. - CHAPTER III. NORMED LINEAR SPACES. - CHAPTER IV. GENERALIZED FUNCTIONS. VOLUME II. Measure, The lebesgue integral, Hilbert space. CHAPTER V. MEASURE THEORY. - CHAPTER VI. MEASURABLE FUNCTIONS. - CHAPTER VII. THE LEBESGUE INTEGRAL. - CHAPTER VIII. SQUARE INTEGRABLE FUNCTIONS. - CHAPTER IX. ABSTRACT HILBERT SPACE, INTEGRAL EQUATIONS WITH SYMMETRIC KERNEL.

9780486406831 (Volumen I y I)


Análisis funcional
Funciones
Espacios métricos
Teoría de conjuntos
Espacios lineales normados
Teoría de la medida
Espacios de Hilbert
Ecuaciones integrales
Matemáticas

515.7 / K815e 1999