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Found 37 Documents (Results 1–37)

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).
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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).
MSC:  58A10 58A12 46E35
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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).
MSC:  58A10 53C20 46E35
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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).
MSC:  58A12 47A50 58A10
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\(L_p\)-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
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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).
MSC:  58A10 53C20 46E35
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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).
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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).
MSC:  58A10 58A12 58A14
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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).
MSC:  46E35 58A10
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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).
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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
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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).
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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
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