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ON ELLIPTIC COMPLEXES IN RELATIVE ELLIPTIC THEORYWe consider complexes of operators in relative elliptic theory. Here we formulate ellipticity
An Atiyah–Bott–Lefschetz Theorem for Relative Elliptic ComplexesAbstract Relative elliptic theory is a theory of elliptic operators for pairs $$(M,X)$$ of closed
An Atiyah–Bott–Lefschetz Theorem for Relative Elliptic ComplexesRelative elliptic theory is a theory of elliptic operators for pairs $(M,X)$ of closed smooth
COMPLEXES IN RELATIVE ELLIPTIC THEORY the Fredholm property for elliptic complexes. As applications, we consider the relative de Rham complex
On spectral problems with conditions on submanifolds of arbitrary dimensionWe consider elliptic nonnegative symmetric operator on a closed smooth manifold on the space
A relative elliptic the-ory for submanifolds with singularities and its applicationsA relative elliptic the-ory for submanifolds with singularities and its applications
Elliptic Differential-Difference Equations with Nonlocal Potentials in a Half-Space phenomenon), in biomathematical applications, and in the theory of multilayered plates and shells
Index of elliptic operators for diffeomorphisms of manifoldsWe develop an elliptic theory for operators associated with a diffeomorphism of a closed smooth
On the index of elliptic operators for the group of dilations obtain an ellipticity condition, which implies that the problem has the Fredholm property, compute
On Traces of Fourier Integral Operators on Submanifoldsrelative elliptic theory
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