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Carleman's formula for functions of matrices

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Literature Cited

  1. T. Carleman, Les Fonctions Analytiques, Paris (1926).

  2. G. M. Goluzin and V. I. Krylov, “The generalized Carleman formula and its application to the analytic continuation of functions,” Mat. Sb.,40, No. 2, 144–149 (1933).

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  3. I. I. Privalov, Boundary Properties of Analytic Functions [in Russian], GITTL, Moscow-Leningrad (1950).

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  4. L. A. Aizenberg, “Multidimensional analogues of Carleman's formula with integration over the boundary sets of maximal dimension,” in: Multidimensional Complex Analysis [in Russian], Krasnoyarsk (1985), pp. 11–21.

  5. P. Lancaster, Theory of Matrices, Academic Press, New York (1969).

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  6. L. K. Hua, Harmonic Analysis of Functions of Several Variables in the Classical Domains, Amer. Math. Soc., Providence (1963).

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  7. R. Bellman, Introduction to Matrix Analysis, McGraw-Hill, New York (1970).

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Authors
  1. G. Khudaiberganov
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Additional information

Tashkent. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 1, pp. 207–208, January–February, 1988.

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Khudaiberganov, G. Carleman's formula for functions of matrices. Sib Math J 29, 159–160 (1988). https://doi.org/10.1007/BF00975030

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  • DOI: https://doi.org/10.1007/BF00975030

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