Elements of the Theory of Functions and Functional Analysis [Two Volumes in One]

Focusing on advanced mathematical concepts, this comprehensive two-part text by A. N. Kolmogorov covers essential topics such as metric and normed spaces, measure theory, and Hilbert space. The work reflects Kolmogorov's significant contributions to various fields, including probability theory and turbulence. It includes exercises for practical application and provides lists of symbols, definitions, and theorems, making it a valuable resource for advanced students and researchers in mathematics. The reprint preserves the original edition's integrity without optical recognition software.