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Fourier Analysis on Groups (Rudin/Fourier) || The Basic Theorems of Fourier AnalysisFourier transformFourier‐Stieltjes transformspositive‐definite functionsinversion theoremPlancherel theoremdoi:10.1002/9781118165621.ch1RudinWalter
Fourier Analysis on Groups (Rudin/Fourier) || Fourier Analysis on Ordered Groupsordered groupsgeometric meansfactorization theoremsinvariant subspacesgap theoremdoi:10.1002/9781118165621.ch8RudinWalter
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W. RUDIN, Trigonometric series with gaps, J. Math. Mech, 9 (1960), 203–227. MathSciNet MATH Google Scholar ———, Fourier Analysis on Groups, New York, Interscience, 1962. MATH Google Scholar R. SALEM and A. ZYGMUND, Some properties of trigonometric series whose terras have random...
6, with the topic abstract settings, deals with the possibility of presenting this paper in a setting based on reproducing kernel (r.k.) theory, and also in terms of abstract harmonic analysis, using locally compact abelian groups. In the present paper, dealing with the grouping (A): GPDF...
Fourier Analysis on Groups, Interscience, New York (1962) Google Scholar [16] W. Rudin Spaces of type H∞+C Ann. Inst. Fourier (Grenoble), 25 (1) (1975), pp. 99-125 CrossrefGoogle Scholar [17] V. Runde Lectures on Amenability Lecture Notes in Mathematics, Vol. 1174, Springer, Berl...
? Rudin, Walter (1987), Real and Complex Analysis (Third ed.), Singapore: McGraw Hill, ISBN?0-07-100276-6. Fourier transform ? Stein, Elias; Shakarchi, Rami (2003), Fourier Analysis: An introduction, Princeton University Press, ISBN?0-691-11384-X. ? Stein, Elias; Weiss, Guido (1971...
Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic in the field. The basic facts concerning Fourier analysis and the structure of LCA groups are proved in the opening chapters, in order to make the ...
Fourier analysis on groups ☆ : Rudin, W., New York and London, 1962doi:10.1016/0041-5553(63)90263-5Ye.A. GorinElsevier B.V.Ussr Computational Mathematics & Mathematical Physics