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Pseudodifferential operators on Rn with bounded symbols

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Literature Cited

  1. J. J. Kohn and L. Nirenberg, "An algebra of pseudodifferential operators," in: Pseudodifferential Operators [Russian translation], Mir, Moscow (1967), pp. 9–62.

    Google Scholar 

  2. R. T. Seeley, "Integrodifferential operators on vector bundles," Matematika,11: 2, 57–97 (1967).

    Google Scholar 

  3. L. R. Volevich and V. M. Kagan, "Pseudodifferential hypoelliptic operators in the theory of function spaces," Trudy Mosk. Mat. Obshch.,20, 241–275 (1969).

    Google Scholar 

  4. L. Hörmander, "Pseudodifferential operators," in: Pseudodifferential Operators [Russian translation], Mir, Moscow (1967), pp. 63–87.

    Google Scholar 

  5. L. Hörmander, "Pseudodifferential operators and hypoelliptic equations," in: Pseudodifferential Operators [Russian translation], Mir, Moscow (1967), pp. 297–367.

    Google Scholar 

  6. M. I. Vishik and V. V. Grushin, "On a class of degenerate elliptic equations of higher order," Mat. Sb.,79, 3–36 (1969).

    Google Scholar 

  7. M. I. Vishik and V. V. Grushin, "Boundary value problems for elliptic operators which degenerate on the boundary of the region," Mat. Sb.,80, 455–491 (1969).

    Google Scholar 

  8. M. I. Vishik and V. V. Grushin, "Elliptic pseudodifferential operators on closed manifolds which degenerate on submanifolds," Dokl. Akad. Nauk SSSR,189, No. 1, 16–19 (1969).

    Google Scholar 

  9. M. I. Vishik and V. V. Grushin, "Elliptic boundary value problems which degenerate on a submanifold of the boundary," Dokl. Akad. Nauk SSSR,190, No. 2, 255–258 (1970).

    Google Scholar 

  10. V. V. Grushin, "On fundamental solutions of hypoelliptic equations," Usp. Mat. Nauk,16, No. 4, 147–153 (1961).

    Google Scholar 

  11. I. M. Gel'fand and G. E. Shilov, Spaces of Fundamental and Generalized Functions [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  12. I. Ts. Gokhberg, "On the theory of multidimensional singular integral equations," Dokl. Akad. Nauk SSSR,133, No. 6, 1279–1282 (1960).

    Google Scholar 

  13. N. I. Muskhelishvili, Singular Integral Equations [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  14. N. Kumano-go, Remarks on pseudodifferential operators, J. Math. Soc. Japan,21, No. 3, 413–439 (1969).

    Google Scholar 

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Authors
  1. V. V. Grushin
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Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 4, No. 3, pp. 37–50, July–September, 1970.

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Grushin, V.V. Pseudodifferential operators on Rn with bounded symbols. Funct Anal Its Appl 4, 202–212 (1970). https://doi.org/10.1007/BF01075240

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  • DOI: https://doi.org/10.1007/BF01075240

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