CHAPTER III. THE FOURIER INTEGRAL THEOREM

Salomon Bochner

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CHAPTER III. THE FOURIER INTEGRAL THEOREM

Salomon Bochner

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Bochner, Salomon. "CHAPTER III. THE FOURIER INTEGRAL THEOREM". Lectures on Fourier Integrals, Princeton: Princeton University Press, 1960, pp. 46-77. https://doi.org/10.1515/9781400881994-003

Bochner, S. (1960). CHAPTER III. THE FOURIER INTEGRAL THEOREM. In Lectures on Fourier Integrals (pp. 46-77). Princeton: Princeton University Press. https://doi.org/10.1515/9781400881994-003

Bochner, S. 1960. CHAPTER III. THE FOURIER INTEGRAL THEOREM. Lectures on Fourier Integrals. Princeton: Princeton University Press, pp. 46-77. https://doi.org/10.1515/9781400881994-003

Bochner, Salomon. "CHAPTER III. THE FOURIER INTEGRAL THEOREM" In Lectures on Fourier Integrals, 46-77. Princeton: Princeton University Press, 1960. https://doi.org/10.1515/9781400881994-003

Bochner S. CHAPTER III. THE FOURIER INTEGRAL THEOREM. In: Lectures on Fourier Integrals. Princeton: Princeton University Press; 1960. p.46-77. https://doi.org/10.1515/9781400881994-003

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Frontmatter i
CONTENTS vii
CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS 1
CHAPTER II. REPRESENTATION — AND SUM FORMULAS 23
CHAPTER III. THE FOURIER INTEGRAL THEOREM 46
CHAPTER IV. STIELTJES INTEGRALS 78
CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS F_O 104
CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS 138
CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS 182
CHAPTER VIII. QUADRATIC INTEGRABILITV 214
CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES 231
APPENDIX 264
REMARKS - QUOTATIONS 281
MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS 292
SYMBOLS 332

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https://doi.org/10.1515/9781400881994-003

Kapitel in diesem Buch

Frontmatter i
CONTENTS vii
CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS 1
CHAPTER II. REPRESENTATION — AND SUM FORMULAS 23
CHAPTER III. THE FOURIER INTEGRAL THEOREM 46
CHAPTER IV. STIELTJES INTEGRALS 78
CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS F_O 104
CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS 138
CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS 182
CHAPTER VIII. QUADRATIC INTEGRABILITV 214
CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES 231
APPENDIX 264
REMARKS - QUOTATIONS 281
MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS 292
SYMBOLS 332

CHAPTER III. THE FOURIER INTEGRAL THEOREM

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