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Equivalence of differential and perturbed differential operators in spaces of analytic functions of several variables in polycircular domains

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Literature cited

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    M. K. Fage, Equivalence of two ordinary linear differential operators with analytic coefficients. In: Investigations in Modern Problems of the Theory of Functions of a Complex Variable [inRussian], Moscow, pp. 468–475 (1961).

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    J. Delsarte and J. L. Lions, Transmutations d'operateurs differentielles dans le domaine complexe Comm. Math Helv.,32, No. 2, 113–128 (1967).

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    K. M. Fishman, Equivalence of differential operators in a space of functions of several variables in a circular polycylinder, Coll.: Theory of Functions, Funcational Analysis, and Their Applications, No. 2 [in Russian], Kharkov (1966).

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    L. A. Aizenberg and B. S. Mityagin, Space of functions analytic in polycircular domains, Sibirskii matem. zh.,1, No. 2, 153–170 (1960).

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    M. G. Khaplanov, Linear transformations of analytic spaces, Dokl. AN SSSR,80, No. 1, 21–24 (1951).

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Translated from Matematicheskie Zametki, Vol. 1, No. 5, pp. 565–574, May, 1967.

I would like in conclusion to extend my warmest appreciati on to K. M. Fishman for valuable suggestions in the course of my completing this study.

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Kramer, G.L. Equivalence of differential and perturbed differential operators in spaces of analytic functions of several variables in polycircular domains. Mathematical Notes of the Academy of Sciences of the USSR 1, 374–380 (1967). https://doi.org/10.1007/BF01094075

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Keywords

  • Analytic Function
  • Differential Operator