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Senichkin Valerii Nikolaevich

Publications in Math-Net.Ru

  1. Representations of $C^*$-algebras of pseudodifferential operators on piecewise smooth manifolds

    Algebra i Analiz, 13:6 (2001),  124–174
  2. On a class of pseudodifferential operators in $\mathbb R^m$ and on stratified manifolds

    Mat. Sb., 191:5 (2000),  109–142
  3. Pseudodifferential Operators on Manifolds with Singularities

    Funktsional. Anal. i Prilozhen., 33:2 (1999),  88–91
  4. The spectrum of the algebra of pseudodifferential operators on a manifold with smooth edges.

    Algebra i Analiz, 8:6 (1996),  105–147
  5. On composition series in algebras of pseudodifferential operators

    Dokl. Akad. Nauk, 351:3 (1996),  301–303
  6. Solvable operator algebras

    Algebra i Analiz, 6:5 (1994),  1–87
  7. On the Jacobson topology on the spectrum of the algebra of Wiener–Hopf operators in a cone

    Algebra i Analiz, 5:6 (1993),  194–218
  8. The spectrum of an algebra of pseudodifferential operators with piecewise smooth symbols

    Izv. Akad. Nauk SSSR Ser. Mat., 53:1 (1989),  147–178
  9. Representations of the algebra of pseudodifferential operators with piecewise smooth symbols

    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 11,  66–74
  10. Algebras of pseudodifferential operators with piecewise-smooth symbols

    Dokl. Akad. Nauk SSSR, 298:1 (1988),  40–44
  11. On representations of an algebra of pseudodifferential operators with multidimensional discontinuities in the symbols

    Izv. Akad. Nauk SSSR Ser. Mat., 51:4 (1987),  833–859
  12. Spectra of $X^*$-algebras of pseudodifferential operators with multidimensional discontinuities in symbols

    Funktsional. Anal. i Prilozhen., 20:4 (1986),  85–86
  13. The spectrum of an algebra of pseudodifferential operators with discontinuous symbols on a manifold with boundary

    Dokl. Akad. Nauk SSSR, 277:6 (1984),  1327–1330
  14. $C^*$-algebras of singular integral operators with discontinuous coefficients on a complex contour. II

    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 4,  37–46
  15. $C^*$-algebras of singular integral operators with discontinuous coefficients on a complex contour. I

    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 1,  25–33
  16. On the spectrum of $C^*$-algebras generated by pseudodifferential operators with discontinuous symbols

    Izv. Akad. Nauk SSSR Ser. Mat., 47:6 (1983),  1263–1284
  17. On the spectrum of $C^*$-algebras generated by pseudodifferential operators with isolated singularities of symbols

    Dokl. Akad. Nauk SSSR, 261:6 (1981),  1304–1306
  18. Subharmonic functions and analytic structure in the maximal ideal space of a uniform algebra

    Mat. Sb. (N.S.), 108(150):1 (1979),  115–133
  19. On the approximation of functions of several complex variables on fat compact subsets of $\mathbf C^n$ by polynomials

    Mat. Sb. (N.S.), 97(139):2(6) (1975),  278–300
  20. An algebra of analytic functions continuous on the sphere with a perfect set of singularities, and polynomial approximation on thick compacta in $\mathbb C^n$

    Zap. Nauchn. Sem. LOMI, 30 (1972),  172–173
  21. Example of a thick polynomially convex compact subset of the space $\mathbf C^2$ with connected interior on which not every continuous function analytic at interior points is uniformly approximable by polynomials

    Zap. Nauchn. Sem. LOMI, 22 (1971),  199–201
  22. On the maximality of the algebra of functions continuous on the extended complex plane and analytic on the complement of a totally disconnected compact

    Zap. Nauchn. Sem. LOMI, 22 (1971),  130–138


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