Skip to main content
Log in

Discrete convolution operators with discontinuous symbols

  • Published:
Russian Mathematics Aims and scope Submit manuscript

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.

References

  1. K. A. Georgiev and V. M. Deundyak, “Nikol’skii Ideals with Application to the Study of Algebras of Singular Integral Operators,” Algebra i Analiz 11(2), 88–108 (1999).

    MathSciNet  Google Scholar 

  2. N. K. Nikol’skii, “Hankel and Toeplitz Operators. Algebraic Approach,” Preprint No. R2 (Ross. Akad. Nauk, 1982).

  3. I. Ts. Gokhberg and I. A. Feldman, Convolution Equations and Projection Methods for Their Solution (Nauka, Moscow, 1971) [in Russian].

    Google Scholar 

  4. S. B. Stechkin, “On Bilinear Forms,” Dokl. Ross. Akad. Nauk 71(2), 237–240 (1950).

    MATH  Google Scholar 

  5. R. Edwards, Fourier Series. A Modern Introduction, Vol. 1 (Springer-Verlag, New York, Heidelberg, Berlin, 1979; Mir, Moscow, 1985).

    MATH  Google Scholar 

  6. J. B. Garnett, Bounded Analytic Functions, (New York, London, Toronto, Academic Press, 1981; Mir, Moscow, 1984).

    MATH  Google Scholar 

  7. D. E. Sarason, “Toeplitz Operators with Piecewise Quasicontinuous Symbols,” Indiana University Math. J. 26(59), 817–838 (1977).

    Article  MATH  MathSciNet  Google Scholar 

  8. S. C. Power, “C*-Algebras Generated by Hankel Operators and Toeplitz Operators,” J. of Funct. Anal. 31, 52–68 (1979).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. M. Deundyak.

Additional information

Original Russian Text © V.M. Deundyak, G.G. Smolkin, 2007, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2007, No. 8, pp. 74–76.

About this article

Cite this article

Deundyak, V.M., Smolkin, G.G. Discrete convolution operators with discontinuous symbols. Russ Math. 51, 71–73 (2007). https://doi.org/10.3103/S1066369X07080099

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1066369X07080099

Keywords

Navigation