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On the index of elliptic operators for the group of dilations the index, and study how the index depends on the exponent of the Sobolev space in which the problem
Index theorems and domain wallsThe Atiyah-Patodi-Singer (APS) index theorem relates the index of a Dirac operator to an integral
Basics of the Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings distortion. Mappings of a two-index scale inherit many properties of mappings with bounded distortion
Elliptic boundary value problems associated with isometric group actions for the group action and obtain an index formula in terms of this Chern character. Our index formula contains
Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations transformations. In order to be able to apply results from algebraic index theory, we define the localized
Atiyah-Patodi-Singer index theorem for domain walls an analog of the Atiyah-Patodi-Singer theorem that relates the index to the bulk integral of Pontryagin
Existence theorem and optimality conditions for a class of convex semi-infinite problems with noncompact index sets. These problems are convex and possess non-compact index sets. In the paper, we present conditions guaranteeing
Index of nonlocal problems associated with a bundle of such operators. For elliptic elements of the algebra, we prove the finiteness theorem and derive an index formula
On multidimensional difference operators and equations present conditions for the Fredholm property and a theorem on the zero index
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold of the symbol, using the Atiyah—Singer index theorem. © 2015, Pleiades Publishing, Ltd.
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