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Trigonometrical series

Zygmund, Antoni — 1935

PREFACE................................... IIIERRATA.................................... IVCHAPTER I. Trigonometrical series and Fourier series...... 11.1. Definitions.1.2. Abel’s transformation.1.3. Orthogonal systems of functions. Fourier series.1.4. The trigonometrical system.1.5. Completness of the trigonometrical system.1.6. Bessel’s inequality. Farseval’s relation.1.7. Remarks on series and integrals.1.8. Miscellaneous theorems and examples.CHAPTER II. Fourier coefficients. Tests for the convergence...

Analytic functions

CONTENTSPREFACE................................... IIIPREFACE TO THE ENGLISH EDITION................................... VIIINTRODUCTION. THEORY OF SETS§ 1. Fundamental definitions................................... 1§ 2. Denumerable sets................................... 3§ 3. Abstract topological space................................... 4§ 4. Closed and open sets................................... 6§ 5. Connected sets................................... 11§ 6. Compact sets......................................

Funkcje analityczne

PRZEDMOWA................. IIIERRATA.................... VIIWSTĘPTEORIA MNOGOŚCI§ 1. Definicje podstawowe....... 1§ 2. Zbiory przeliczalne......... 3§ 3. Przestrzeń topologiczna abstrakcyjna..... 4§ 4. Zbiory domknięte i otwarte........ 6§ 5. Zbiory spójne....................... 11§ 6. Zbiory zwarte....................... 13§ 7. Przekształcenia ciągłe................ 15§ 8. Płaszczyzna........................... 17§ 9. Zbiory spójne na płaszczyźnie.......... 26§ 10. Siatki kwadratowe na płaszczyźnie.............

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