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" Almost periodic functions "
by Harald Bohr. Text transl. by Harvey Cohn.
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BL
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| Record Number
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735832
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b555676
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| Main Entry
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by Harald Bohr. Text transl. by Harvey Cohn.
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| Title & Author
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Almost periodic functions\ by Harald Bohr. Text transl. by Harvey Cohn.
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| Publication Statement
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New York, NY: Chelsea Publ., [1999?]
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113 Seiten
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| ISBN
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082840027X
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: 9780828400275
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| Contents
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Introduction Purely periodic functions and their Fourier series: General orthogonal systems; Fourier constants with respect to a normal orthogonal system. Their minimal property. Bessel's formula and Bessel's inequality; Fourier series of periodic functions; Operations with Fourier series; Two fundamental theorems. The uniqueness theorem and Parseval's equation; Lebesgue's proof of the uniqueness theorem; The multiplication theorem; Summability of the Fourier series. Fejer's theorem; Weierstrass' theorem; Two remarks The theory of almost periodic functions: The main problem of the theory; Translation numbers; Definition of almost periodicity; Two simple properties of almost periodic functions; The invariance of almost periodicity under simple operations of calculation; The mean value theorem; The concept of the Fourier series of an almost periodic function. Derivation of Parseval's equation; Calculations with Fourier series; The uniqueness theorem. Its equivalence with Parseval's equation; The multiplication theorem; Introductory remarks to the proof of the two fundamental theorems; Preliminaries for the proof of the uniqueness theorem; Proof of the uniqueness theorem; The fundamental theorem; An important example Appendix I: Generalizations of almost periodic functions Appendix II: Almost periodic functions of a complex variable Bibliography.
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| LC Classification
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QA403.B943 1999
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| Added Entry
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Harald Bohr
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| Parallel Title
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Fastperiodische Funktionen.
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