Clifford modules and Dirac-type operators
Boundary value problems for modified Dirac operators in Clifford analysis
... Riemann type boundary value problems for the operator D λ , where λ is a complex ...Almansi type expansion for the operator D k λ , where k ∈ ...Riemann type boundary value problem and the ...
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The local counting function of operators of Dirac and Laplace type
... Sub(D) = Sub(γ ∇ e ) + ψ, which implies that ψ is pointwise proportional to the identity matrix. Thus we must have ψ = 0, and consequently, D = γ ∇ e is indeed a massless Dirac operator. Acknowledgments. Part of ...
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Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds
... Abstract The connection between quadratic estimates and the existence of a bounded holo- morphic functional calculus of an operator provides a framework for applying har- monic analysis to the theory of differential ...
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Symplectic Dirac operators and Mpc structures
... Cl(e a )∇ e a ψ where e a (x) is an orthonormal frame at x ∈ M . In the framework of symplectic geometry and Mp c structures we present all the corresponding steps. For a symplectic manifold (M, ω) each tangent space has ...
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Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
... Jacobi operators H and supersymmetric Dirac difference operators D are ...shift operators on the lattice Z) and the spectrum of H to be a compact interval [E − , E + ], E − < E + , we prove ...
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Inverse spectral problems for Dirac operators on a finite interval
... [4] M.M. Malamud, Uniqueness questions in inverse problems for systems of differential equations on a finite interval, Trans. Moscow Math. Soc. 60 (1999) 173–224. [5] M. Lesch, M. Malamud, The inverse spectral problem for ...
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Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient
... 5. Nabiev, IM: Solution of a class of inverse problems for the Dirac operator. Trans. Natl. Acad. Sci. Azerb. 21(1), 146-157 (2001) 6. Nabiev, IM: Characteristic of spectral data of Dirac operators. ...
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Spectral analysis of Dirac operators under integral conditions on the potential
... massless Dirac operator with magnetic potential plays a critical role in the question of stability of ...massless Dirac operators with a plain electric-type potential, especially in two space ...
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On the asymptotics of the spectral density of radial Dirac operators with divergent potential
... The key observation is that, despite the two singular end-points, this operator has a simple spectrum and admits a generalised Fourier expansion in terms of a single solution, with a real-valued spectral function, as ...
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Closure operators in the categories of modules Part II (Hereditary and cohereditary operators)
... closure operators of R-Mod and the transitive functions of type F 2 of this ...closure operators by the abstract functions of types F 1 or F 2 , associated to the studied closure ...
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ON THE RELATIVE REFLEXIVITY OF FINITELY GENERATED MODULES OF OPERATORS
... Pn = Env\J R(AjFn) I and similarly ß„ = 7„ V \/ R(A*En) converge to 0. This proves Lemma 3.2 for factors of type II. The proof of Lemma 3.2 for general von Neumann algebras without nonzero minimal projections is a ...
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Projective Dirac Operators, Twisted K-Theory, and Local Index Formula
... We can apply the above theory to spectral triples on Riemannian manifolds. By gluing local pieces of spectral triples via Morita equivalence, we construct a so called projective spectral triple, the Dirac operator ...
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Dirac operators and spectral triples for some fractal sets built on curves
... Fredholm modules of noncommutative geometry can be refined to give more information about the topological structure of the ...connectedness type of the ...
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Local spectral asymptotics and heat kernel bounds for Dirac and Laplace operators
... and Dirac type operators acting on smooth sections of vector bundles over closed Riemannian ...Laplace operators on bounded Euclidean ...these operators regardless of the choice of ...
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Induced Dirac-Schrödinger operators on $S^1$-semi-free quotients
... In their formalism, they impose a geometric Witt condition which requires the spectrum of the cone coefficient not to intersect the open interval (−1/2, 1/2). In the Witt case their index formula computes Lott’s b ...
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Weyl-Titchmarsh-Kodaira theory for Dirac operators with strongly singular potentials
... Appendix A A short glimpse on Complex Analysis The purpose of this appendix is to recall some standard terms and results from Complex Analysis which are used in this thesis. After having a short look at analytic ...
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2 Operators and Type Conversion
... The declarations common to more than one module are usually collected in a single file, known as the header file. These are then copied into the modules that use them by means of the #include directive. By ...
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Deformation of Dirac operators along orbits and quantization of non-compact Hamiltonian torus manifolds
... of Dirac operator along orbits of a group action on a possibly non-compact manifold to get an equivariant index and a K-homology cycle representing the ...[Q,R]=0 type theorem, which can be regarded as a ...
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APPLICATION OF THE GENERALIZED CLIFFORD-DIRAC ALGEBRA TO THE PROOF OF THE DIRAC EQUATION FERMI-BOSE DUALITY
... In our publications, consideration of the FB duality concept of the field was extended by applying the group-theoretical approach for the problem (FB duality was often called by us as the relationship between the fields of ...
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Convergence of very weak solutions to A Dirac equations in Clifford analysis
... Abstract This paper is concerned with the very weak solutions to A-Dirac equations DA(x, Du) = 0 with Dirichlet boundary data. By means of the decomposition in a Clifford-valued function space, convergence of the ...
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