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Wiener's theorem and the asymptotic estimates of the elements of inverse matrices

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Literature Cited

  1. C. de Boor, "A bound of the L-norm of L2-approximation by splines in terms of a global mesh ratio," Math. Comp.,30, No. 136, 765–771 (1976).

    Google Scholar 

  2. B. S. Mityagin, "Quadratic pencils and least-squares piecewise-polynomial approximation," Math. Comp.,40, No. 161, 283–300 (1983).

    Google Scholar 

  3. S. Demko, "Inverses of band matrices and local convergence of spline projections," SIAM J. Numer. Anal.,14, No. 4, 616–619 (1977).

    Google Scholar 

  4. S. Demko, W. F. Moss, and Ph. W. Smith, "Decay rates for inverses of band matrices," Math. Comp.,43, No. 168, 491–499 (1984).

    Google Scholar 

  5. M. A. Shubin, "Pseudodifference operators and their Green function," Izv. Akad. Nauk SSSR, Ser. Mat.,49, No. 3, 652–671 (1985).

    Google Scholar 

  6. S. Bochner and R. S. Phillips, "Absolutely convergent Fourier expansions for noncommutative normed rings," Ann. of Math.,43, No. 3, 409–418 (1942).

    Google Scholar 

  7. J.-P. Kahane, Séries de Fourier Absolument Convergentes, Springer, Berlin (1970).

    Google Scholar 

  8. V. G. Kurbatov, Voronezh State Univ., Voronezh (1982). Manuscript deposited at VINITI, No. 1017–82, Feb. 9, 1982.

  9. M. Taylor, Pseudodifferential Operators, Princeton Univ. Press, Princeton (1981).

    Google Scholar 

  10. M. A. Shubin, "Pseudodifferential almost periodic operators and von Neumann algebras," Tr. Mosk. Mat. Obshch.,35, No. 103–164 (1976).

  11. R. Beals, "Characterization of pseudodifferential operators and applications," Duke Math. J.,44, No. 1, 45–57 (1977).

    Google Scholar 

  12. M. A. Shubin, "Almost periodic functions and partial differential operators," Usp. Mat. Nauk,33, No. 2, 3–47 (1978).

    Google Scholar 

  13. G. A. Meladze and M. A. Shubin, "A functional calculus of pseudodifferential operators on unimodular Lie groups," Tr. Sem. Petrovsk., No. 12, 164–200 (1987).

    Google Scholar 

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Voronezh State University. Translated from Funktsionalnyi Analiz i Ego Prilozheniya, Vol. 24, No. 3, pp. 64–65, July–September, 1990.

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Baskakov, A.G. Wiener's theorem and the asymptotic estimates of the elements of inverse matrices. Funct Anal Its Appl 24, 222–224 (1990). https://doi.org/10.1007/BF01077964

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  • DOI: https://doi.org/10.1007/BF01077964

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