Corduneanu, C. [Gheorghiu, N.; Barbu, V.] Almost periodic functions. With the collaboration of N. Gheorghiu and V. Barbu. Transl. from the Romanian by Gitta Berstein and Eugene Tomer. 2nd Engl. ed. (English) Zbl 0672.42008 New York: Chelsea Publishing Company. x, 257 p. (1989). [For a review of the first edition (1968) see Zbl 0175.09101.] The Bibliographical Notes at the end of almost every chapter have been added to, in this Second Edition. Also, some new material has been included in I.6, V.4, and VI.5. Completely new is II.3, which is devoted to a relatively new class of almost periodic functions: random functions almost periodic in probability. It is certain that these functions will find many applications in the theory of stochastic functional equations. Cited in 1 ReviewCited in 218 Documents MSC: 42A75 Classical almost periodic functions, mean periodic functions 42-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 42A20 Convergence and absolute convergence of Fourier and trigonometric series 42A24 Summability and absolute summability of Fourier and trigonometric series 34A99 General theory for ordinary differential equations 34A30 Linear ordinary differential equations and systems 43A77 Harmonic analysis on general compact groups Keywords:Dirichlet series; almost periodicity of bounded solutions of; differential equations; Banach spaces; almost periodic functions on; topological groups Citations:Zbl 0175.09101 PDFBibTeX XMLCite \textit{C. Corduneanu}, Almost periodic functions. With the collaboration of N. Gheorghiu and V. Barbu. Transl. from the Romanian by Gitta Berstein and Eugene Tomer. 2nd Engl. ed. New York: Chelsea Publishing Company (1989; Zbl 0672.42008)