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Radzievskii Grigorii Vadimovich

Publications in Math-Net.Ru

  1. On the norms of Riesz projections onto subspaces of root functions of a boundary value problem for a functional-differential expression

    Differ. Uravn., 42:1 (2006),  48–60
  2. Direct and inverse theorems on approximation by root functions of a regular boundary-value problem

    Mat. Sb., 197:7 (2006),  87–136
  3. Existence Theorems for Momentum Representations Generalized in the Sense of Dzyadyk

    Mat. Zametki, 75:2 (2004),  253–260
  4. The remainder term of the Taylor expansion for a holomorphic function is representable in Lagrange form

    Sibirsk. Mat. Zh., 44:2 (2003),  402–414
  5. Characterization of Hadamard vector classes in terms of least deviations of their elements from vectors of finite degree

    Mat. Sb., 192:12 (2001),  93–144
  6. A Generalization of Bernstein's Formula for the Width of a Strip in Which a Function Is Holomorphic

    Funktsional. Anal. i Prilozhen., 33:2 (1999),  43–57
  7. Direct and converse theorems in problems of approximation by vectors of finite degree

    Mat. Sb., 189:4 (1998),  83–124
  8. On the numerical ranges of a family of commuting operators

    Mat. Zametki, 62:5 (1997),  787–791
  9. Boundary Value Problems and Related Moduli of Continuity

    Funktsional. Anal. i Prilozhen., 29:3 (1995),  87–90
  10. Equiconvergence of series in eigenfunctions of ordinary functional-differential operators

    Dokl. Akad. Nauk SSSR, 316:2 (1991),  265–270
  11. Basis properties of eigenfunctions of a regular boundary value problem for a vector functional-differential equation

    Differ. Uravn., 27:3 (1991),  384–396
  12. Equivalence in $L_p[0,1]$ of the system $e^{i2\pi kx}$ $(k=0,\pm1,\dots)$ and the system of the eigenfunctions of an ordinary functional-differential operator

    Mat. Zametki, 49:1 (1991),  47–55
  13. Linear independence, equivalence and minimality of root vectors for some nonlinear spectral problems

    Sibirsk. Mat. Zh., 31:3 (1990),  147–166
  14. Completeness of derivative chains of polynomial pencils of operators of odd order

    Dokl. Akad. Nauk SSSR, 303:6 (1988),  1310–1315
  15. Asymptotic of singular numbers and eigenvalues of weakly perturbed operators

    Mat. Zametki, 43:5 (1988),  624–634
  16. Linear independence of the root vectors for operator-valued functions that are analytic outside a disk

    Dokl. Akad. Nauk SSSR, 294:2 (1987),  278–282
  17. On the linear independence of the Keldysh derived chains for operator-valued functions analytic in a half-plane

    Mat. Sb. (N.S.), 132(174):4 (1987),  556–577
  18. Minimality, basis property and completeness of a subset of the root vectors of a quadratic operator pencil

    Dokl. Akad. Nauk SSSR, 283:1 (1985),  53–57
  19. A method of proof of the minimality and the basis property of a part of the root vectors

    Funktsional. Anal. i Prilozhen., 17:1 (1983),  24–30
  20. A theorem on the estimation of the resolvent of operator-valued functions

    Mat. Zametki, 32:1 (1982),  59–70
  21. The problem of the completeness of root vectors in the spectral theory of operator-valued functions

    Uspekhi Mat. Nauk, 37:2(224) (1982),  81–145
  22. On bases consisting of derivative chains corresponding to boundary value problems

    Dokl. Akad. Nauk SSSR, 251:2 (1980),  283–287
  23. Asymptotics of the distribution of the characteristic numbers of operator-valued functions analytic in an angle

    Mat. Sb. (N.S.), 112(154):3(7) (1980),  396–420
  24. On completeness of the set of root vectors of the operator pencil $L(\lambda)=I-\lambda^{-k}B-\lambda^nA$

    Uspekhi Mat. Nauk, 34:1(205) (1979),  241–242
  25. Completeness of root vectors of a Keldysh pencil perturbed by an analytic operator-valued function $S(\lambda)$ with $S(\infty)=0$

    Mat. Zametki, 21:3 (1977),  391–398
  26. On the completeness of derived chains

    Mat. Sb. (N.S.), 100(142):1(5) (1976),  37–58
  27. On the basicity of derived chains

    Izv. Akad. Nauk SSSR Ser. Mat., 39:5 (1975),  1182–1218
  28. Theorems on completeness and on the property of being a basis for the eigenvectors of a hyperbolic operator-valued function

    Sibirsk. Mat. Zh., 16:3 (1975),  572–587
  29. On a method of proving completeness of the root vectors of operator-valued functions

    Dokl. Akad. Nauk SSSR, 214:2 (1974),  291–294
  30. The summability by Abel's method of $n$-tuple expansions

    Sibirsk. Mat. Zh., 15:4 (1974),  855–870
  31. Multiple completeness of eigen and associated vectors of some classes of operator-functions analytic in a disk

    Funktsional. Anal. i Prilozhen., 7:1 (1973),  84–85
  32. Multiple completeness of root vectors of a Keldysh pencil perturbed by an operator-valued function analytic in a disc

    Mat. Sb. (N.S.), 91(133):3(7) (1973),  310–335


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