Abstract
THE present book by one of the earliest workers in the subject treated in it promises to become a standard work. In some 190 pages it gives an account of the fundamental theorems dealing with almost periodic functions apart from some special problems connected with differential and difference equations. The first chapter develops the theory of uniform almost periodic functions of a real variable, including the representation by generalised Fourier series and their summation. The second chapter gives various generalisations of almost periodic functions with applications of the Parseval equation and the Riesc-Fischer theorem, topics with which the author is especially familiar through his own researches. 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 strip of uniform almost periodicity.
Almost Periodic Functions.
By A. S. Besicovitch. Pp. xiii + 180. (Cambridge: At the University Press, 1932.) 12s. 6d. net.
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Almost Periodic Functions . Nature 131, 384 (1933). https://doi.org/10.1038/131384b0
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DOI: https://doi.org/10.1038/131384b0