2 edition of **Almost periodic functions.** found in the catalog.

Almost periodic functions.

Abram Semoilovitch Besicovitch

- 278 Want to read
- 0 Currently reading

Published
**1954**
by Dover in New York
.

Written in English

**Edition Notes**

Originally pub., Cambridge U.P., 1932.

ID Numbers | |
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Open Library | OL22836116M |

I am currently studying Ergodic Theory from Glasner’s book - in it, weakly almost periodic functions play a large role, as well as general “means” and unitary representations of groups on Hilbert spaces. I cannot seem to grasp the motivation or intuition behind these notions. Quasiperiodic signals in the sense of audio processing are not quasiperiodic functions in the sense defined here; instead they have the nature of almost periodic functions and that article should be consulted. The more vague and general notion of quasiperiodicity has even less to do with quasiperiodic functions in the mathematical sense.

Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. Almost Periodic Function. A function representable as a generalized Fourier series. Let be a metric space with ing Bohr (), a continuous function for with values in is called an almost periodic function if, for every, there exists such that every interval contains at .

An appendix covers the almost periodic functions of a complex variable. Bohr's groundbreaking work influenced many later mathematicians who extended his theory in new and diverse directions. AUTHOR: Harald August Bohr ( ) was a Danish mathematician, and the brother of Nobel Prize-winning physicist Niels Bohr. ebook Compact Semitopological Semigroups and Weakly Almost Periodic Functions been to connect, they certainly have Reassure. And if you think rollicking to be months on my j, be electricity at least some of those Terms. This gets an other journal and I remain you will have so long you are it! You can control it on Amazon also/5.

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Starting with a discussion of periodic functions, this exposition advances to the almost periodic case, an area of study that was suggested to author Harald Bohr by questions about which ng may be from multiple locations in the US or from the UK, depending on stock availability.

pages. Almost Periodic Functions (AMS/Chelsea Publication) Reprint Edition by Harald Bohr (Author) ISBN ISBN X. Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book Format: Hardcover.

The Bibliographical Notes at the Almost periodic functions. book of almost every chapter have been added to in this Second Edition. Completely new is [Chapter II.3], which is devoted to a relatively new class of almost periodic functions: random functions almost periodic in : Hardcover.

Starting with a discussion of periodic functions, this exposition advances to the almost periodic case, an area of study that was suggested to author Harald Bohr by questions about which functions could be represented by a Dirichlet series.

An appendix covers the almost periodic functions of a complex variable. Bohr's groundbreaking work influenced many later mathematicians who extended his. The heart of the book, his exploration of the theory of almost periodic functions, is supplemented by two appendixes that cover generalizations of almost periodic functions and almost periodic functions of a complete variable.

Table of Contents. Part 1 Purely Periodic Functions and Their Fourier Series Part 2 The theory of Almost Periodic Functions. Almost Periodic Functions by A.

Besicovitch and a great selection of related books, art and collectibles available now at The approximation theorem; 4 Almost periodic functions in the Muckenhoupt sense and in the Stepanov sense; 5 Weakly almost periodic functions. The primitive of an almost periodic function; Bibliographical notes Almost Periodic Functions on Groups: 1 Elementary properties of almost periodic functions on.

Additional Physical Format: Online version: Corduneanu, C. Almost periodic functions. New York, Interscience Publishers [] (OCoLC) Material Type. The Bibliographical Notes at the end of almost every chapter have been added to in this Second Edition. Completely new is [Chapter II.3], which is devoted to a relatively new class of almost periodic functions: random functions almost periodic in probability.

Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls Yu, Gang and Lu, Hongying, Abstract and Applied Analysis, ; The constructive mathematics of A.

Markov: some reflections Kushner, B. A., Modern Logic, ; Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time-Varying Delays and Cited by: 4. The theory of almost periodic functions was first developed by the Danish mathematician H.

Bohr during Then Bohr's work was substantially extended by S. Bochner, H. Weyl, A. Besicovitch, J. Favard, J. von Neumann, V. Stepanov, N.

Bogolyubov, and oth ers. Generalization of the. Motivated by questions about which functions could be represented by Dirichlet series, Harald Bohr founded the theory of almost periodic functions in the s.

This beautiful exposition begins with a discussion of periodic functions before addressing the almost periodic case. An appendix discusses almost periodic functions of a complex variable.4/5(1). Almost periodic functions occur frequently as a result of sampling a continuous-time periodic function and the functional dependence on two or more purely periodic functions with incommensurate Author: Constantin Corduneanu.

Almost-Periodic Functions and Functional Equations. Authors (view affiliations) Luigi Amerio; Giovanni Prouse; Book. Search within book. Front Matter. Pages i-viii. PDF. Theory of Almost-Periodic Functions. Front Matter. Pages PDF. Almost-Periodic Functions in Banach Spaces. Luigi Amerio, Giovanni Prouse.

"Once Bohr established his fundamental theorem, he was able to show that any continuous almost periodic function is the limit of a uniformly convergent sequence of trigonometric polynomials.

This is the main result of his second paper. the converse of this result was also true.". Almost-Periodic Functions and Functional Equations. Authors: Amerio, L., Prouse, G. Free Preview. Buy this book eB84 € price for Spain (gross) Buy eBook ISBN ; Digitally watermarked, DRM-free; Included format: PDF; ebooks can be used on all reading devices.

Almost-Periodic Functions In this section, definitions and main results on almost-periodic (AP) functions and their generalizations are presented for both continuous-and discrete-time cases. For extensive treatments on almost-periodic functions, - Selection from Generalizations of Cyclostationary Signal Processing: Spectral Analysis and Applications [Book].

The third and last chapter gives an account of H. Bohr's theory of analytic almost periodic functions of a complex variable, their Dirichlet series and their behaviour in and on the boundary of a.

The theory of almost periodic functions was created and developed in its main features by Bohr as a generalization of pure periodicity. Almost periodicity is a structural property of functions, which is invariant with respect to the operations of addition and multiplication, and also in some cases with respect to division, differentiation, integration, and other limiting processes.

The purpose of this book is to provide an overall view of all the basic features of almost periodic functions, in the various meanings this term has acquired in modern research, as well as the many applications of such functions. Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner.

It also applies the results obtained to study almost automorphic solutions of abstract differential equations, expanding.ALMOST PERIODIC FUNCTIONS. by A. S. Besicovitch. This important summary by a well-known mathematician covers the theory of almost periodic functions created by Harold Bohr.

It examines Bohr's own work, as well as newer, shorter, and rnore elementary proofs .Denote by AP(G) (respectively, ap(G)) the space of all almost periodic functions (respectively, almost periodic measures) defined on a Hausdorff locally compact abelian group G and by M(μ) or M x Author: Toka Diagana.