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almost periodic function
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It contains the space of Bohr almost periodic functions.
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The space Bp of Besicovitch almost periodic functions was introduced by Besicovitch (1926).
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There are several inequivalent definitions of almost periodic functions.
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It contains the space Sp of Stepanov almost periodic functions.
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The space Sp of Stepanov almost periodic functions (for p ≥ 1) was introduced by V.V. Stepanov (1925).
invita a la futura Agencia europea a establecer relaciones, por una parte, con el Consejo de Europa, las instituciones nacionales y las organizaciones no gubernamentales que trabajan por la aplicación de los derechos fundamentales y con la red de expertos independientes, e igualmente con los entes locales y regionales que, por su enfoque específico, están en situación de realizar una útil contribución a sus trabajos, y pide a la Agencia que presente un informe anual sobre la situación de los derechos fundamentales en la UniónWikiMatrix WikiMatrix
The space Wp of Weyl almost periodic functions (for p ≥ 1) was introduced by Weyl (1927).
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The Bohr almost periodic functions are essentially the same as continuous functions on the Bohr compactification of the reals.
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There is also a notion of almost periodic functions on locally compact abelian groups, first studied by John von Neumann.
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The space Bp of Besicovitch almost periodic functions (for p ≥ 1) contains the space Wp of Weyl almost periodic functions.
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In 1924 he went to Copenhagen and Harald Bohr, on a Rockefeller Fellowship, where he worked on almost periodic functions, which now bear his name.
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In mathematics, an almost periodic function is, loosely speaking, a function of a real number that is periodic to within any desired level of accuracy, given suitably long, well-distributed "almost-periods".
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Equivalently, the space of almost periodic functions is the norm closure of the finite linear combinations of characters of G. If G is compact the almost periodic functions are the same as the continuous functions.
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Besicovitch's candidacy for the Royal Society reads: "Distinguished as a pure mathematician, particularly for his researches in the theory of functions of a real variable, the theory of analytic functions, and the theory of almost periodic functions. "
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This does not give a quasiperiodic function in the sense of the Wikipedia article of that name, but something more akin to an almost periodic function, being a nearly periodic function where any one period is virtually identical to its adjacent periods but not necessarily similar to periods much farther away in time.
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Although it was originally intended to be used for 1.5 years, the satellite was functional for a period of almost five years.
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Titchmarsh, writing in, sums up his work on almost periodic functions:
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Quasi-periodic functions, newly introduced, constitute a remarkable class among the almost periodic functions.
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After receiving his doctorate in 1910, Bohr became an eminent mathematician, founding the field of almost periodic functions.
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His results concern the approximation theory of almost periodic functions.
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Some Aspects in n-dimensional almost Periodic functions iii
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Following the ideas of [2] we introduce the almost periodic functions and its elementary properties.
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Seven papers appeared in 1939, four on statistics and three on almost periodic functions.
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Bohr worked in mathematical analysis, founding the field of almost periodic functions, and worked with the Cambridge mathematician G. H. Hardy.
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Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent
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... in recognition of his outstanding work on almost-periodic functions, the theory of measure and integration and many other topics of the theory of functions.
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