Shvedov Igor' Aleksandrovich

Publications in Math-Net.Ru

1. On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends
   
   Sibirsk. Mat. Zh., 48:3 (2007),  621–630
2. An addition theorem for the manifolds with the Laplacian having discrete spectrum
   
   Sibirsk. Mat. Zh., 47:3 (2006),  557–574
3. On compact solvability of differentials of an elliptic differential complex
   
   Sibirsk. Mat. Zh., 44:6 (2003),  1280–1294
4. On the compactness theorem for differential forms
   
   Sibirsk. Mat. Zh., 44:1 (2003),  132–142
5. The method of separation of variables in problems of normal and compact solvability of the exterior differentiation operator
   
   Sibirsk. Mat. Zh., 41:2 (2000),  385–396
6. Homological aspects of the theory of Banach complexes
   
   Sibirsk. Mat. Zh., 40:4 (1999),  893–904
7. $L_p$ cohomology of warped products of Lipschitz Riemannian manifolds
   
   Sibirsk. Mat. Zh., 39:3 (1998),  633–649
8. On orthogonal direct sum decomposition of de Rham complexes of warped products of Riemannian manifolds
   
   Sibirsk. Mat. Zh., 39:2 (1998),  354–368
9. On the compact solvability of the exterior differentiation operator
   
   Sibirsk. Mat. Zh., 38:3 (1997),  573–590
10. On normal solvability of the operator of exterior derivation on warped products
    
    Sibirsk. Mat. Zh., 37:2 (1996),  324–337
11. On the Künneth formula for reduced $L_2$-cohomologies
    
    Sibirsk. Mat. Zh., 36:1 (1995),  102–110
12. Addition formulas for reduced $L_p$-cohomologies
    
    Sibirsk. Mat. Zh., 35:2 (1994),  380–388
13. On compactly-supported approximation of differential forms in weighted Sobolev-type spaces
    
    Sibirsk. Mat. Zh., 34:6 (1993),  91–112
14. On compactly-supported approximation of closed differential forms on Riemannian manifolds of special type
    
    Sibirsk. Mat. Zh., 34:3 (1993),  102–117
15. On normal solvability of the exterior differentiation on a warped cylinder
    
    Sibirsk. Mat. Zh., 34:1 (1993),  85–95
16. On Cheeger's theorem on the $L_p$-cohomology of a cone
    
    Trudy Inst. Mat. SO RAN, 21 (1992),  29–34
17. Nonzero elements in the $L_p$-cohomologies of warped products
    
    Sibirsk. Mat. Zh., 33:6 (1992),  14–30
18. Approximation of exact and closed differential forms by finite ones
    
    Sibirsk. Mat. Zh., 33:2 (1992),  49–65
19. On a problem of Dodziuk
    
    Trudy Mat. Inst. Steklov., 193 (1992),  72–75
20. On the Künneth formula for the $L_p$-cohomology of warped products
    
    Sibirsk. Mat. Zh., 32:5 (1991),  29–42
21. $L_p$-cohomology of warped cylinders
    
    Sibirsk. Mat. Zh., 31:6 (1990),  55–63
22. Reduced $L_p$-cohomology of warped products
    
    Sibirsk. Mat. Zh., 31:5 (1990),  10–23
23. Normal and compact solvability of linear operators
    
    Sibirsk. Mat. Zh., 30:5 (1989),  49–59
24. The de Rham isomorphism of the $L_p$-cohomology of noncompact Riemannian manifolds
    
    Sibirsk. Mat. Zh., 29:2 (1988),  34–44
25. $L_p$-cohomology of Riemannian manifolds
    
    Trudy Inst. Mat. Sib. Otd. AN SSSR, 7 (1987),  101–116
26. Normal and compact solvability of the operator of exterior differentiation under homogeneous boundary conditions
    
    Sibirsk. Mat. Zh., 28:4 (1987),  82–96
27. Dual spaces to spaces of differential forms
    
    Sibirsk. Mat. Zh., 27:1 (1986),  45–56
28. A property of de Rham regularization operators
    
    Sibirsk. Mat. Zh., 25:2 (1984),  104–111
29. The Wolf theorem for differential forms of classes $W^*_{p,q}$
    
    Sibirsk. Mat. Zh., 24:5 (1983),  31–42
30. The integration of differential forms of classes $\mathscr{W}^*_{p,q}$
    
    Sibirsk. Mat. Zh., 23:5 (1982),  63–79
31. Differential forms on a Lipschitz manifold
    
    Sibirsk. Mat. Zh., 23:2 (1982),  16–30
32. On the Bredon cohomological dimension of hereditarily paracompact spaces
    
    Dokl. Akad. Nauk SSSR, 231:1 (1976),  24–27
33. On Aleksandrov's obstruction theorem
    
    Uspekhi Mat. Nauk, 31:5(191) (1976),  185–190
34. The hyperhomology of the limit of a direct spectrum of complexes, and homology groups of topological spaces
    
    Sibirsk. Mat. Zh., 16:1 (1975),  62–74
35. Spectra of coverings in the cohomology and homology theories of topological spaces
    
    Sibirsk. Mat. Zh., 15:5 (1974),  1083–1102
36. Quasiexact sequences of complexes, and hyperhomology
    
    Sibirsk. Mat. Zh., 14:4 (1973),  791–805
37. On the homology of a spectral limit of bicompacta
    
    Dokl. Akad. Nauk SSSR, 203:4 (1972),  756–757
38. On the homology induced by cohomology functors
    
    Dokl. Akad. Nauk SSSR, 200:4 (1971),  764–766
39. The completion of abelian groups in the $P$-topology
    
    Algebra Logika, 9:4 (1970),  436–457
40. Cohomology groups of uniform spaces
    
    Sibirsk. Mat. Zh., 5:3 (1964),  565–595
41. Projection spectra
    
    Tr. Mosk. Mat. Obs., 12 (1963),  99–124
42. Cohomology and dimension of uniform spaces
    
    Dokl. Akad. Nauk SSSR, 135:6 (1960),  1322–1325
43. A proof of the homeomorphism of polyhedra and point sets
    
    Dokl. Akad. Nauk SSSR, 122:4 (1958),  566–569