Add to ORKGLaplace operators perturbed by meromorphic potential on the Riemann and separated type Klein surfaces are constructed and their indices are calculated by two different ways. The topological expressions for the indices are obtained from the study of spectral properties of the operators. Analytical expressions are provided by the Heat Kernel approach in terms of the functional integrals. As a result two formulae connecting characteristics of meromorphic (real meromorphic) functions and topological properties of Riemann (separated type Klein) surfaces are derived
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the...
The asymptotic expansion of the heat kernel associated with Laplace operators is considered for gene...
„Krümmungen und Indexsätze - auf den Spuren von Gauß-Bonnet, Cartan, Atiyah-Singer und Witten. Eine ...
In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemanni...
In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemanni...
The relative index theorem is proved for general first-order elliptic operators that are complete an...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the ...
AbstractWe develop the framework for the heat equation method in the relative index theory. We study...
We consider a hyperbolic Dirac-type operator with growing potential on a spatially non-compact globa...
AbstractThis is Part I of a work, in which we establish a formula for the Chern character of a famil...
AbstractFollowing Gorokhovsky and Lott and using an extension of the b-pseudodifferential calculus o...
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the ...
We introduce a generalized index for certain meromorphic, unbounded, operator-valued functions. The ...
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the...
The asymptotic expansion of the heat kernel associated with Laplace operators is considered for gene...
„Krümmungen und Indexsätze - auf den Spuren von Gauß-Bonnet, Cartan, Atiyah-Singer und Witten. Eine ...
In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemanni...
In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemanni...
The relative index theorem is proved for general first-order elliptic operators that are complete an...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the ...
AbstractWe develop the framework for the heat equation method in the relative index theory. We study...
We consider a hyperbolic Dirac-type operator with growing potential on a spatially non-compact globa...
AbstractThis is Part I of a work, in which we establish a formula for the Chern character of a famil...
AbstractFollowing Gorokhovsky and Lott and using an extension of the b-pseudodifferential calculus o...
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the ...
We introduce a generalized index for certain meromorphic, unbounded, operator-valued functions. The ...
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the...
The asymptotic expansion of the heat kernel associated with Laplace operators is considered for gene...
„Krümmungen und Indexsätze - auf den Spuren von Gauß-Bonnet, Cartan, Atiyah-Singer und Witten. Eine ...