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Pseudodifferential operators on $$R^ n$$ with bounded symbols. (English. Russian original) Zbl 0223.35084
Funct. Anal. Appl. 4, 202-212 (1970); translation from Funkts. Anal. Prilozh. 4, No. 3, 37-50 (1970).

##### MSC:
 35S05 Pseudodifferential operators as generalizations of partial differential operators
Full Text:
##### References:
 [1] J. J. Kohn and L. Nirenberg, ”An algebra of pseudodifferential operators,” in: Pseudodifferential Operators [Russian translation], Mir, Moscow (1967), pp. 9-62. [2] R. T. Seeley, ”Integrodifferential operators on vector bundles,” Matematika,11: 2, 57-97 (1967). [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). · Zbl 0182.18501 [4] L. Hörmander, ”Pseudodifferential operators,” in: Pseudodifferential Operators [Russian translation], Mir, Moscow (1967), pp. 63-87. [5] L. Hörmander, ”Pseudodifferential operators and hypoelliptic equations,” in: Pseudodifferential Operators [Russian translation], Mir, Moscow (1967), pp. 297-367. [6] M. I. Vishik and V. V. Grushin, ”On a class of degenerate elliptic equations of higher order,” Mat. Sb.,79, 3-36 (1969). · Zbl 0238.35078 [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). · Zbl 0238.35078 [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). · Zbl 0238.35078 [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). · Zbl 0238.35032 [10] V. V. Grushin, ”On fundamental solutions of hypoelliptic equations,” Usp. Mat. Nauk,16, No. 4, 147-153 (1961). [11] I. M. Gel’fand and G. E. Shilov, Spaces of Fundamental and Generalized Functions [in Russian], Fizmatgiz, Moscow (1958). · Zbl 0091.11103 [12] I. Ts. Gokhberg, ”On the theory of multidimensional singular integral equations,” Dokl. Akad. Nauk SSSR,133, No. 6, 1279-1282 (1960). · Zbl 0161.32101 [13] N. I. Muskhelishvili, Singular Integral Equations [in Russian], Fizmatgiz, Moscow (1962). · Zbl 0103.07502 [14] N. Kumano-go, Remarks on pseudodifferential operators, J. Math. Soc. Japan,21, No. 3, 413-439 (1969). · Zbl 0179.42201
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