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Displaying similar documents to “On The Convergence Of A Lacunary Fourier Series And It's Conjugate Series”

Trigonometrical series

Antoni Zygmund

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PREFACE................................... III ERRATA.................................... IV CHAPTER I. Trigonometrical series and Fourier series...... 1 1.1. 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....