Skip to main content
Log in

Integral representations and transforms of N-functions. II

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

We study the problem of reconstruction of a convolution type integral transform from its behavior for power functions. We solve some of the problems posed in Part I of the article.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bateman H. and Erd’elyi A., Tables of Integral Transformations. Vol. 1: Fourier, Laplace, and Mellin Transforms [Russian translation], Nauka, Moscow (1969).

    Google Scholar 

  2. Ditkin V. A. and Prudnikov A. P., Integral Transforms and Operational Calculus [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  3. Krasnosel’skii M. A. and Rutitskii Ya. B., Convex Functions and Orlicz Spaces [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  4. Dunford N. and Schwartz J. T., Linear Operators. General Theory [Russian Translation], Izdat. Inostr. Lit., Moscow (1962).

    Google Scholar 

  5. Mamontov A. E., “Extrapolation of linear operators from L p into the Orlicz spaces generated by N-functions of slow or fast growth,” in: Current Problems of Modern Mathematics [in Russian], Novosibirsk Univ., Novosibirsk, 1996, 2, pp. 95–103.

    Google Scholar 

  6. Mamontov A. E., Orlicz Spaces in the Existence Problem of Global Solutions to Viscous Compressible Nonlinear Fluid Equations [Preprint, No. 2-96], Lavrent’ev Inst. of Hydrodynamics (Novosibirsk), Novosibirsk (1996).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text Copyright © 2006 Mamontov A. E.

The author was supported by the Russian Foundation for Basic Research (Grant 05-01-00131).

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 4, pp. 811–830, July–August, 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mamontov, A.E. Integral representations and transforms of N-functions. II. Sib Math J 47, 669–686 (2006). https://doi.org/10.1007/s11202-006-0078-6

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11202-006-0078-6

Keywords

Navigation