Abstract. Given a one-dimensional weighted Dirac operator we can define a spectral measure by virtue of singular Weyl–Titchmarsh–Kodaira theory. Using the theory of de Branges spaces we show that the spectral measure uniquely determines the Dirac operator up to a gauge transformation. Our result applies in particular to radial Dirac operators and extends the classical results for Dirac operators with one regular endpoint. Moreover, our result also improves the currently known results for canonical (Hamiltonian) systems. If one endpoint is in the limit circle case, we also establish corresponding two-spectra results. 1
The spectral and scattering theory for 1-dimensional Dirac operators with mass m and with zero-range...
New unique characterization results for the potential V(x) in connection with Schrödinger operators ...
34 pages, 4 figuresInternational audienceWe investigate spectral features of the Dirac operator with...
Abstract. Given a one-dimensional weighted Dirac operator we can define a spectral measure by virtue...
Abstract. We develop singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators. In...
Abstract. We develop singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators. In...
Abstract. We investigate the connection between singular Weyl–Titchmarsh– Kodaira theory and the dou...
Abstract. We provide an abstract framework for singular one-dimensional Schrödinger operators with ...
AbstractWe consider the direct and inverse spectral problems for Dirac operators that are generated ...
This paper presents a su± cient condition for a one-dimensional Dirac operator with a potential ten...
This paper is devoted to mathematical and physical properties of the Dirac operator and spectral geo...
Inverse nodal problems for Dirac operators on a finite interval [0,\pi] are studied. We prove that ...
A potential for the one-dimensional Dirac operator is constructed such that its essential spectrum d...
Motivated by energy space representation of Dirac operators, in the sense of K. Friedrichs, we recen...
AbstractWe develop relative oscillation theory for one-dimensional Dirac operators which, rather tha...
The spectral and scattering theory for 1-dimensional Dirac operators with mass m and with zero-range...
New unique characterization results for the potential V(x) in connection with Schrödinger operators ...
34 pages, 4 figuresInternational audienceWe investigate spectral features of the Dirac operator with...
Abstract. Given a one-dimensional weighted Dirac operator we can define a spectral measure by virtue...
Abstract. We develop singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators. In...
Abstract. We develop singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators. In...
Abstract. We investigate the connection between singular Weyl–Titchmarsh– Kodaira theory and the dou...
Abstract. We provide an abstract framework for singular one-dimensional Schrödinger operators with ...
AbstractWe consider the direct and inverse spectral problems for Dirac operators that are generated ...
This paper presents a su± cient condition for a one-dimensional Dirac operator with a potential ten...
This paper is devoted to mathematical and physical properties of the Dirac operator and spectral geo...
Inverse nodal problems for Dirac operators on a finite interval [0,\pi] are studied. We prove that ...
A potential for the one-dimensional Dirac operator is constructed such that its essential spectrum d...
Motivated by energy space representation of Dirac operators, in the sense of K. Friedrichs, we recen...
AbstractWe develop relative oscillation theory for one-dimensional Dirac operators which, rather tha...
The spectral and scattering theory for 1-dimensional Dirac operators with mass m and with zero-range...
New unique characterization results for the potential V(x) in connection with Schrödinger operators ...
34 pages, 4 figuresInternational audienceWe investigate spectral features of the Dirac operator with...