For a Sobolev problem associated with a compact Lie group, we prove a theorem on the Fredholm property (finiteness) of the analytic index. © 2015, Pleiades Publishing, Ltd
We improve Margulis lemma for a compact connected Lie group G: there is a neighborhood U of the iden...
Abstract. We prove that exponential maps of right-invariant SobolevHr metrics on a variety of diffeo...
In this work we consider a class of Euler functionals defined in Banach spaces, associated to quasil...
We consider Sobolev problems with nonlocal boundary conditions associated with an action of a compac...
We consider Sobolev spaces on manifolds with many-dimensional singularities. We prove the Fredholm p...
We consider Sobolev problems (problems for an elliptic operator on a closed manifold with conditions...
For any Lie groupoid we construct an analytic index morphism taking values in a modified $K-theory$ ...
AbstractLet Q be an algebraic group with Lie algebra q and V a finite-dimensional Q-module. The inde...
Let G be a noncompact connected Lie group, denote with \u3c1 a right Haar measure and choose a famil...
Let G be a noncompact connected Lie group, denote with ρ a right Haar measure and choose a family of...
In this paper we deal with critical groups estimates for a functional f:W_0^{1,p}(Ω)→R (p>2), Ω boun...
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solut...
In [35] we defined the gauge-equivariant index of a family of ellip-tic operators invariant with res...
This thesis by publication is a study of the equivariant index theory of Dirac operators and Callias...
Abstract: Given a compact manifold with boundary, endowed with an isometric action of a discrete gro...
We improve Margulis lemma for a compact connected Lie group G: there is a neighborhood U of the iden...
Abstract. We prove that exponential maps of right-invariant SobolevHr metrics on a variety of diffeo...
In this work we consider a class of Euler functionals defined in Banach spaces, associated to quasil...
We consider Sobolev problems with nonlocal boundary conditions associated with an action of a compac...
We consider Sobolev spaces on manifolds with many-dimensional singularities. We prove the Fredholm p...
We consider Sobolev problems (problems for an elliptic operator on a closed manifold with conditions...
For any Lie groupoid we construct an analytic index morphism taking values in a modified $K-theory$ ...
AbstractLet Q be an algebraic group with Lie algebra q and V a finite-dimensional Q-module. The inde...
Let G be a noncompact connected Lie group, denote with \u3c1 a right Haar measure and choose a famil...
Let G be a noncompact connected Lie group, denote with ρ a right Haar measure and choose a family of...
In this paper we deal with critical groups estimates for a functional f:W_0^{1,p}(Ω)→R (p>2), Ω boun...
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solut...
In [35] we defined the gauge-equivariant index of a family of ellip-tic operators invariant with res...
This thesis by publication is a study of the equivariant index theory of Dirac operators and Callias...
Abstract: Given a compact manifold with boundary, endowed with an isometric action of a discrete gro...
We improve Margulis lemma for a compact connected Lie group G: there is a neighborhood U of the iden...
Abstract. We prove that exponential maps of right-invariant SobolevHr metrics on a variety of diffeo...
In this work we consider a class of Euler functionals defined in Banach spaces, associated to quasil...