Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the theory of the Kontorovich-Lebedev transformation on distributions
HTML articles powered by AMS MathViewer

by Semen B. Yakubovich and Brian Fisher PDF
Proc. Amer. Math. Soc. 122 (1994), 773-777 Request permission

Abstract:

A new proof of the representation theorem for the Kontorovich-Lebedev transformation on distributions is given.
References
  • Hans Bremermann, Distributions, complex variables, and Fourier transforms, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1965. MR 0208364
  • Yu. A. Brychkov and A. P. Prudnikov, Integral′nye preobrazovaniya obobshchennykh funktsiĭ, Spravochnaya Matematicheskaya Biblioteka [Mathematical Reference Library], Izdat. “Nauka”, Moscow, 1977 (Russian). MR 0481945
  • G. Buggle, Die Kontorovich-Lebedev-Transformation und die Mehler-Fok-Transformation für Klassen verallgemeinerter Functionen, Dissertation, TH Darmstadt, 1977. A. Erdelyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher transcendental functions, Vol. 2, McGraw-Hill, New York, 1953.
  • G. Z. Forristall and J. D. Ingram, Evaluation of distributions useful in Kontorovich-Lebedev transform theory, SIAM J. Math. Anal. 3 (1972), 561–566. MR 313805, DOI 10.1137/0503055
  • Hans-Jürgen Glaeske and Albrecht Hess, A convolution connected with the Kontorovich-Lebedev transform, Math. Z. 193 (1986), no. 1, 67–78. MR 852909, DOI 10.1007/BF01163354
  • N. N. Lebedev, Sur un formule d’inversion, C. R. (Doklady) Acad. Sci. URSS (N.S.) 52 (1946), 655–658 (French). MR 0021144
  • A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and series. Vol. 2, Gordon & Breach Science Publishers, New York, 1986. Special functions; Translated from the Russian by N. M. Queen. MR 874987
  • S. B. Yakubovich, The general integral transforms of the Kontorovich-Lebedev type and some of their applications, Ph.D. Dissertation, Minsk, 1987. (Russian)
  • A. H. Zemanian, The Kontorovich-Lebedev transformation on distributions of compact support and its inversion, Math. Proc. Cambridge Philos. Soc. 77 (1975), 139–143. MR 355489, DOI 10.1017/S0305004100049471
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46F12, 44A15
  • Retrieve articles in all journals with MSC: 46F12, 44A15
Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 122 (1994), 773-777
  • MSC: Primary 46F12; Secondary 44A15
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1209431-0
  • MathSciNet review: 1209431