Kuz’minov, V. I.; Shvedov, I. A. On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends. (Russian, English) Zbl 1164.58305 Sib. Mat. Zh. 48, No. 3, 621-630 (2007); translation in Sib. Math. J. 48, No. 3, 500-507 (2007). MSC: 58A10 53C20 46E35 53C65 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Mat. Zh. 48, No. 3, 621--630 (2007; Zbl 1164.58305); translation in Sib. Math. J. 48, No. 3, 500--507 (2007) Full Text: EuDML EMIS
Kuz’minov, V. I.; Shvedov, I. A. On compact solvability of differentials of an elliptic differential complex. (Russian, English) Zbl 1051.58007 Sib. Mat. Zh. 44, No. 6, 1280-1294 (2003); translation in Sib. Math. J. 44, No. 6, 1003-1014 (2003). Reviewer: V. P. Golubyatnikov (Novosibirsk) MSC: 58J10 58A10 58A12 53C20 55U15 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Mat. Zh. 44, No. 6, 1280--1294 (2003; Zbl 1051.58007); translation in Sib. Math. J. 44, No. 6, 1003--1014 (2003) Full Text: EuDML EMIS
Kuz’minov, V. I.; Shvedov, I. A. On the compactness theorem for differential forms. (Russian, English) Zbl 1036.58002 Sib. Mat. Zh. 44, No. 1, 132-142 (2003); translation in Sib. Math. J. 44, No. 1, 107-115 (2003). Reviewer: V. P. Golubyatnikov (Novosibirsk) MSC: 58A10 58J10 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Mat. Zh. 44, No. 1, 132--142 (2003; Zbl 1036.58002); translation in Sib. Math. J. 44, No. 1, 107--115 (2003) Full Text: EuDML EMIS
Glotko, N. V.; Kuz’minov, V. I. On the cohomology sequence in a semiabelian category. (Russian, English) Zbl 1009.18011 Sib. Mat. Zh. 43, No. 1, 41-50 (2002); translation in Sib. Math. J. 43, No. 1, 28-35 (2002). MSC: 18G50 18E10 58A12 PDFBibTeX XMLCite \textit{N. V. Glotko} and \textit{V. I. Kuz'minov}, Sib. Mat. Zh. 43, No. 1, 41--50 (2002; Zbl 1009.18011); translation in Sib. Math. J. 43, No. 1, 28--35 (2002) Full Text: EuDML
Kuz’minov, V. I.; Shvedov, I. A. Separation of variables in the problems of normal and compact solvability of the exterior derivation operator. (English. Russian original) Zbl 0958.58001 Sib. Math. J. 41, No. 2, 317-326 (2000); translation from Sib. Mat. Zh. 41, No. 2, 385-396 (2000). Reviewer: V.P.Golubyatnikov (Novosibirsk) MSC: 58A10 58A12 46E35 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Math. J. 41, No. 2, 385--396 (2000; Zbl 0958.58001); translation from Sib. Mat. Zh. 41, No. 2, 385--396 (2000) Full Text: DOI EuDML
Kopylov, Ya. A.; Kuz’minov, V. I. On the Ker-Coker-sequence in a semiabelian category. (English. Russian original) Zbl 0952.18003 Sib. Math. J. 41, No. 3, 509-517 (2000); translation from Sib. Mat. Zh. 41, No. 3, 615-624 (2000). MSC: 18G50 18E10 58A12 46E35 PDFBibTeX XMLCite \textit{Ya. A. Kopylov} and \textit{V. I. Kuz'minov}, Sib. Math. J. 41, No. 3, 509--517 (2000; Zbl 0952.18003); translation from Sib. Mat. Zh. 41, No. 3, 615--624 (2000) Full Text: DOI
Kuz’minov, V. I.; Shvedov, I. A. On orthogonal direct sum decomposition of de Rham complexes for warped products of Riemannian manifolds. (English. Russian original) Zbl 0944.58001 Sib. Math. J. 39, No. 2, 311-322 (1998); translation from Sib. Mat. Zh. 39, No. 2, 354-368 (1998). Reviewer: V.P.Golubyatnikov (Novosibirsk) MSC: 58A10 53C20 46E35 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Math. J. 39, No. 2, 354--368 (1998; Zbl 0944.58001); translation from Sib. Mat. Zh. 39, No. 2, 354--368 (1998) Full Text: DOI
Kuz’minov, V. I.; Shvedov, I. A. Homological aspects of the theory of Banach complexes. (English. Russian original) Zbl 0939.58001 Sib. Math. J. 40, No. 4, 754-763 (1999); translation from Sib. Mat. Zh. 40, No. 4, 893-904 (1999). Reviewer: V.P.Golubyatnikov (Novosibirsk) MSC: 58A12 47A50 58A10 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Math. J. 40, No. 4, 893--904 (1998; Zbl 0939.58001); translation from Sib. Mat. Zh. 40, No. 4, 893--904 (1999) Full Text: DOI
Kuz’minov, V. I.; Shvedov, I. A. The \(L_p\)-theory of differential forms on warped products. (Russian) Zbl 0910.58001 Reshetnyak, Yu. G. (ed.) et al., Algebra, geometry, analysis and mathematical physics. Tenth Siberian school, Novosibirsk, Russia, August 14–22, 1996. Novosibirsk: Izdatel’stvo Instituta Matematiki SO RAN. 110-120 (1997). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 58A10 53C20 46E35 PDFBibTeX XML
Kuz’minov, V. I.; Shvedov, I. A. \(L_p\)-theory of differential forms on warped products. (English. Russian original) Zbl 0912.58001 Sib. Adv. Math. 8, No. 3, 74-89 (1998); translation from Algebra, geometry, analysis and mathematical physics. 10th Siberian school, Novosibirsk, 110-120 (1997). MSC: 58A10 53C20 46E35 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Adv. Math. 8, No. 1, 110--120 (1997; Zbl 0912.58001); translation from Algebra, geometry, analysis and mathematical physics. 10th Siberian school, Novosibirsk, 110--120 (1997)
Kuz’minov, V. I.; Shvedov, I. A. On compact solvability of the operator of exterior derivation. (English. Russian original) Zbl 0870.58003 Sib. Math. J. 38, No. 3, 492-506 (1997); translation from Sib. Mat. Zh. 38, No. 3, 573-590 (1997). Reviewer: N.S.Dairbekov (Novosibirsk) MSC: 58A10 53C20 46E35 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Math. J. 38, No. 3, 492--506 (1997; Zbl 0870.58003); translation from Sib. Mat. Zh. 38, No. 3, 573--590 (1997) Full Text: DOI
Kuz’minov, V. I.; Shvedov, I. A. On normal solvability of the operator of exterior derivation of warped products. (English. Russian original) Zbl 0893.58004 Sib. Math. J. 37, No. 2, 276-287 (1996); translation from Sib. Mat. Zh. 37, No. 2, 324-337 (1996). MSC: 58A15 58A12 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Math. J. 37, No. 2, 276--287 (1996; Zbl 0893.58004); translation from Sib. Mat. Zh. 37, No. 2, 324--337 (1996) Full Text: DOI
Kuz’minov, V. I.; Shvedov, I. A. Addition formulas for reduced \(L_ p\)-cohomologies. (English. Russian original) Zbl 0866.58002 Sib. Math. J. 35, No. 2, 344-350 (1994); translation from Sib. Mat. Zh. 35, No. 2, 380-388 (1994). Reviewer: L.I.Nicolaescu (Ann Arbor) MSC: 58A10 58A12 57R19 58J10 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Math. J. 35, No. 2, 344--350 (1994; Zbl 0866.58002); translation from Sib. Mat. Zh. 35, No. 2, 380--388 (1994) Full Text: DOI
Kuz’minov, V. I.; Shvedov, I. A. On normal solvability of the exterior differentiation on a warped cylinder. (English. Russian original) Zbl 0844.58003 Sib. Math. J. 34, No. 1, 73-82 (1993); translation from Sib. Mat. Zh. 34, No. 1, 85-95 (1993). Reviewer: V.B.Marenich (Campinas) MSC: 58A10 58A12 58A14 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Math. J. 34, No. 1, 73--82 (1993; Zbl 0844.58003); translation from Sib. Mat. Zh. 34, No. 1, 85--95 (1993) Full Text: DOI
Kuz’minov, V. I.; Shvedov, I. A. On compactly-supported approximation of differential forms in weighted Sobolev-type spaces. (English. Russian original) Zbl 0811.46026 Sib. Math. J. 34, No. 6, 1081-1100 (1993); translation from Sib. Mat. Zh. 34, No. 6, 91-112 (1993). Reviewer: Chang Kungching (Beijing) MSC: 46E35 58A10 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Math. J. 34, No. 6, 1081--1100 (1993; Zbl 0811.46026); translation from Sib. Mat. Zh. 34, No. 6, 91--112 (1993) Full Text: DOI
Kuz’minov, V. I.; Shvedov, I. A. On compactly-supported approximation of closed differential forms on Riemannian manifolds of special type. (English. Russian original) Zbl 0812.46022 Sib. Math. J. 34, No. 3, 486-499 (1993); translation from Sib. Mat. Zh. 34, No. 3, 102-117 (1993). Reviewer: M.Puta (Timişoara) MSC: 46E35 58A10 46E30 53C20 PDFBibTeX XMLCite \textit{V. I. Kuz'minov} and \textit{I. A. Shvedov}, Sib. Math. J. 34, No. 3, 102--117 (1993; Zbl 0812.46022); translation from Sib. Mat. Zh. 34, No. 3, 102--117 (1993) Full Text: DOI
Gol’dshtein, V. M.; Kuz’minov, V. I.; Shvedov, I. A. On Cheeger’s theorem: Extensions to \(L_ p\)-cohomology of warped cylinders. (English. Russian original) Zbl 0848.53026 Sib. Adv. Math. 2, No. 1, 114-122 (1992); translation from Tr. Inst. Mat. SO RAN 21, 29-34 (1992). MSC: 53C20 58A14 58A10 58A12 PDFBibTeX XMLCite \textit{V. M. Gol'dshtein} et al., Sib. Adv. Math. 2, No. 1, 1 (1992; Zbl 0848.53026); translation from Tr. Inst. Mat. SO RAN 21, 29--34 (1992)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. On a problem of Dodziuk. (English. Russian original) Zbl 0812.58004 Proc. Steklov Inst. Math. 193, 77-80 (1993); translation from Tr. Mat. Inst. Steklova 193, 72-75 (1992). Reviewer: C.Bär (Freiburg) MSC: 58A12 53C20 58A10 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., in: Topology and its applications. Proceedings of the International topology conference (Baku, October 3-8, 1987). Providence, RI: American Mathematical Society. 1 (1992; Zbl 0812.58004); translation from Tr. Mat. Inst. Steklova 193, 72--75 (1992)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. Approximation of exact and closed differential forms by finite ones. (Russian) Zbl 0770.58002 Sib. Mat. Zh. 33, No. 2, 49-65 (1992). Reviewer: J.Szilasi (Debrecen) MSC: 58A10 57N65 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Mat. Zh. 33, No. 2, 49--65 (1992; Zbl 0770.58002)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. Approximation of exact and closed differential forms by finite ones. (English. Russian original) Zbl 0787.58002 Sib. Math. J. 33, No. 2, 219-233 (1992); translation from Sib. Mat. Zh. 33, No. 2, 49-65 (1992). MSC: 58A10 57N65 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 33, No. 2, 49--65 (1992; Zbl 0787.58002); translation from Sib. Mat. Zh. 33, No. 2, 49--65 (1992)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. On the Künneth formula for \(L_ p\)-cohomologies of warped products. (Russian. Russian original) Zbl 0754.55017 Sib. Mat. Zh. 32, No. 5(189), 29-42 (1991). Reviewer: A.Dranishnikov (Moskva) MSC: 55U25 58A12 46E30 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Mat. Zh. 32, No. 5(189), 29--42 (1991; Zbl 0754.55017)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. The Künneth formula for \(L_ p\)-cohomologies of warped products. (English. Russian original) Zbl 0777.55013 Sib. Math. J. 32, No. 5, 749-760 (1991); translation from Sib. Mat. Zh. 32, No. 5(189), 29-42 (1991). MSC: 55U25 58A12 46E30 PDFBibTeX XML
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. L\({}_ p\)-cohomology of warped cylinders. (English. Russian original) Zbl 0732.53029 Sib. Math. J. 31, No. 6, 919-925 (1990); translation from Sib. Mat. Zh. 31, No. 6(184), 55-63 (1990). Reviewer: V.B.Marenich (Novosibirsk) MSC: 53C20 58A10 58A12 58A14 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 31, No. 6, 919--925 (1990; Zbl 0732.53029); translation from Sib. Mat. Zh. 31, No. 6(184), 55--63 (1990) Full Text: DOI
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. Reduced \(L_ p\)-cohomology of warped cylinders. (English. Russian original) Zbl 0722.53034 Sib. Math. J. 31, No. 5, 716-727 (1990); translation from Sib. Mat. Zh. 31, No. 5(183), 10-23 (1990). Reviewer: W.Kryszewski (Heidelberg) MSC: 53C20 58A12 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 31, No. 5, 716--727 (1990; Zbl 0722.53034); translation from Sib. Mat. Zh. 31, No. 5(183), 10--23 (1990) Full Text: DOI
Gol’dshtejn, Vladimir M.; Kuz’minov, Vladimir I.; Shvedov, Igor A. \(L_ p\)-cohomology of non-compact Riemannian manifolds. (English) Zbl 0698.57004 Quest. Answers Gen. Topology 8, No. 1, 225-234 (1990). MSC: 57R19 58A12 53C20 55N35 58A14 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Quest. Answers Gen. Topology 8, No. 1, 225--234 (1990; Zbl 0698.57004)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. De Rham isomorphism of the \(L_ p\)-cohomology of noncompact Riemannian manifolds. (English. Russian original) Zbl 0668.58051 Sib. Math. J. 29, No. 2, 190-197 (1988); translation from Sib. Mat. Zh. 29, No. 2(168), 34-44 (1988). MSC: 58J10 58A12 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 29, No. 2, 190--197 (1988; Zbl 0668.58051); translation from Sib. Mat. Zh. 29, No. 2(168), 34--44 (1988) Full Text: DOI
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. De Rham isomorphism of \(L_ p\)-cohomologies of noncompact Riemannian varieties. (Russian) Zbl 0653.58037 Sib. Mat. Zh. 29, No. 2(168), 34-44 (1988). Reviewer: L.Maxim Răileanu MSC: 58J10 58A12 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Mat. Zh. 29, No. 2(168), 34--44 (1988; Zbl 0653.58037)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. \(L_ p\)-cohomology on Riemannian manifolds. (Russian) Zbl 0654.58030 Tr. Inst. Mat. 7, 101-116 (1987). Reviewer: J.Eichhorn MSC: 58J10 58A10 55N99 PDFBibTeX XML
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. Normal and compact solvability of the exterior differentiation operator under homogeneous boundary conditions. (English. Russian original) Zbl 0649.58035 Sib. Math. J. 28, No. 1-2, 582-593 (1987); translation from Sib. Mat. Zh. 28, No. 4(164), 82-96 (1987). Reviewer: S.Dimiev MSC: 58J32 58A14 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 28, No. 1--2, 582--593 (1987; Zbl 0649.58035); translation from Sib. Mat. Zh. 28, No. 4(164), 82--96 (1987) Full Text: DOI
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. Dual spaces of spaces of differential forms. (English. Russian original) Zbl 0654.46040 Sib. Math. J. 27, 35-44 (1986); translation from Sib. Mat. Zh. 27, No. 1, 45-56 (1986). Reviewer: J.Lorenz MSC: 46E35 46M20 58A10 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 27, 35--44 (1986; Zbl 0654.46040); translation from Sib. Mat. Zh. 27, No. 1, 45--56 (1986) Full Text: DOI
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. The integral representation of the integral of a differential form. (Russian) Zbl 0583.58002 Functional analysis and mathematical physics, Collect. sci. Works, Novosibirsk 1985, 53-87 (1985). Reviewer: K.Barckow MSC: 58A10 PDFBibTeX XML
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. A property of de Rham regularization operators. (English) Zbl 0602.58002 Sib. Math. J. 25, 251-257 (1984). MSC: 58A12 58A10 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 25, 251--257 (1984; Zbl 0602.58002) Full Text: DOI
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. On some property of the regularization operator of de Rham. (Russian) Zbl 0546.58002 Sib. Mat. Zh. 25, No. 2(144), 104-111 (1984). Reviewer: J.Dodziuk MSC: 58A12 58A10 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Mat. Zh. 25, No. 2(144), 104--111 (1984; Zbl 0546.58002)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. Wolfe’s theorem for differential forms of classes \(W^*_{p,q}\). (English. Russian original) Zbl 0547.58003 Sib. Math. J. 24, 672-681 (1983); translation from Sib. Mat. Zh. 24, No. 5(141), 31-42 (1983). Reviewer: D.Motreanu MSC: 58A10 57R05 58C35 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 24, 672--681 (1983; Zbl 0547.58003); translation from Sib. Mat. Zh. 24, No. 5(141), 31--42 (1983) Full Text: DOI
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. Functional spaces of generalized differential forms. (Russian) Zbl 0534.46024 Sib. Mat. Zh. 24, No. 6(142), 209-210 (1983). Reviewer: J.Lorenz MSC: 46E35 58A10 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Mat. Zh. 24, No. 6(142), 209--210 (1983; Zbl 0534.46024)
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. Integration of differential forms of the classes W*(p,q). (English. Russian original) Zbl 0522.58002 Sib. Math. J. 23, 640-653 (1983); translation from Sib. Mat. Zh. 23, No. 5, 63-79 (1982). MSC: 58A10 58C35 46E35 49Q15 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 23, 640--653 (1982; Zbl 0522.58002); translation from Sib. Mat. Zh. 23, No. 5, 63--79 (1982) Full Text: DOI
Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. Differential forms on Lipschitz manifolds. (English. Russian original) Zbl 0522.58001 Sib. Math. J. 23, 151-161 (1982); translation from Sib. Mat. Zh. 23, No. 2, 16-30 (1982). MSC: 58A10 57R20 58A12 58C35 49Q15 46E35 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} et al., Sib. Math. J. 23, 151--161 (1982; Zbl 0522.58001); translation from Sib. Mat. Zh. 23, No. 2, 16--30 (1982) Full Text: DOI