Pointwise Fourier inversion with Cesàro means
Francisco Javier González Vieli
Source: Hiroshima Math. J. Volume 28, Number 3
(1998), 541-553.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206126683
Mathematical Reviews number (MathSciNet): MR1657551
Zentralblatt MATH identifier: 0922.42006
References
[1] K. Chandrasekharan, Classical Fourier Transforms, Springer Verlag, Berlin, 1989.
Zentralblatt MATH: 0681.42001
Mathematical Reviews (MathSciNet): MR978387
[2] A. Erdelyi, Higher Transcendental Functions, Vol. I, McGraw-Hill, New York, 1953.
[3] P. B. Guest, Laplace transforms and an introduction to distributions, Ellis Horwood, London, 1991.
Zentralblatt MATH: 0734.44002
Mathematical Reviews (MathSciNet): MR1287158
[4] G. H. Hardy, Divergent Series, Clarendon Press, Oxford, 1949.
Zentralblatt MATH: 0032.05801
Mathematical Reviews (MathSciNet): MR30620
[5] S. Helgason, Geometric Analysis on Symmetric Spaces, American Mathematical Society, Providence, 1994.
Zentralblatt MATH: 0809.53057
Mathematical Reviews (MathSciNet): MR1280714
[6] N. N. Lebedev, Special Functions and their Applications, Prentice-Hall, Englewood Cliffs, 1965.
Zentralblatt MATH: 0131.07002
Mathematical Reviews (MathSciNet): MR174795
[7] M. A. Pinsky, "Pointwise Fourier Inversion and Related Eigenfunction Expansions", Comm. Pure Appl. Math. 47 (1994), 653-681.
Zentralblatt MATH: 0802.42010
Mathematical Reviews (MathSciNet): MR1278348
[8] L. Robin, Functions sphriques de Legendre et functions spherodales, Gauthier-Villars, Paris, 1958.
Mathematical Reviews (MathSciNet): MR101928
[9] R. Strichartz, "Harmonic analysis as spectral theory of laplacians", J. Funct. Anal. 87 (1989), 51-148.
Zentralblatt MATH: 0694.43008
Mathematical Reviews (MathSciNet): MR1025883
[10] N. Vilenkin, Special Functions and the Theory of Group Representations, American Mathematical Society, Providence, 1968.
Zentralblatt MATH: 0172.18404
Mathematical Reviews (MathSciNet): MR229863
[11] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1922.
Jahrbuch database (Zbl): 50.0264.01
Mathematical Reviews (MathSciNet): MR1349110
Hiroshima Mathematical Journal
