Search Results - "Toloza, Julio H."

Dispersion Estimates for Spherical Schrödinger Equations by Kostenko, Aleksey, Teschl, Gerald, Toloza, Julio H.

“…We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. We also derive several new estimates for solutions of the…”
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The Dirichlet problem for perturbed Stark operators in the half-line by Toloza, Julio H., Uribe, Alfredo

“…We consider the perturbed Stark operator H q φ = - φ ′ ′ + x φ + q ( x ) φ , φ ( 0 ) = 0 , in L 2 ( R + ) , where q is a real function that belongs to A r = q…”
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Oversampling and Undersampling in de Branges Spaces Arising from Regular Schrödinger Operators by Silva, Luis O., Toloza, Julio H., Uribe, Alfredo

“…The classical results on oversampling and undersampling (or aliasing) of functions in Paley–Wiener spaces are generalized to the case of functions in de…”
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Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations by Silva, Luis O., Toloza, Julio H.

“…We derive a description of the family of canonical selfadjoint extensions of the operator of multiplication in a de Branges space in terms of singular rank-one…”
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On the spectral characterization of entire operators with deficiency indices ( 1 , 1 ) by Silva, Luis O., Toloza, Julio H.

“…For entire operators and entire operators in the generalized sense, we provide characterizations based on the spectra of their selfadjoint extensions. In order…”
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Bounded rank-one perturbations in sampling theory by Silva, Luis O., Toloza, Julio H.

“…Sampling theory concerns the problem of reconstruction of functions from the knowledge of their values at some discrete set of points. In this paper we derive…”
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Jacobi matrices with rapidly growing weights having only discrete spectrum by Silva, Luis O., Toloza, Julio H.

“…We establish sufficient conditions for self-adjointness on a class of unbounded Jacobi operators defined by matrices with main diagonal sequence of very slow…”
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Oversampling and aliasing in de Branges spaces arising from Bessel operators by Toloza, Julio H., Uribe, Alfredo

“…We show that a class of de Branges spaces, generated by means of generalized Fourier transforms associated with perturbed Bessel differential equations, has…”
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Exponentially accurate semiclassical asymptotics of low-lying eigenvalues for 2 × 2 matrix Schrödinger operators by Hagedorn, George A., Toloza, Julio H.

“…We consider a simple molecular-type quantum system in which the nuclei have one degree of freedom and the electrons have two levels. The Hamiltonian has the…”
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Oversampling on a class of symmetric regular de Branges spaces by Silva, Luis O., Toloza, Julio H.

“…A de Branges space $ \mathcal {B} $ B is regular if the constants belong to its space of associated functions and is symmetric if it is isometrically invariant…”
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On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions by Silva, Luis O., Toloza, Julio H.

“…In this work we consider de Branges spaces where the multiplication operator by the independent variable is not densely defined. First, we study the canonical…”
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SINGULAR SCHRÖDINGER OPERATORS AS SELF-ADJOINT EXTENSIONS OF N-ENTIRE OPERATORS by SILVA, LUIS O., TESCHL, GERALD, TOLOZA, JULIO H.

“…We investigate the connections between Weyl–Titchmarsh–Kodaira theory for one-dimensional Schrödinger operators and the theory of n-entire operators. As our…”
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A Class of n-Entire Schrödinger operators by Silva, Luis O., Toloza, Julio H.

“…We study singular Schrödinger operators on a finite interval as selfadjoint extensions of a symmetric operator. We give sufficient conditions for the symmetric…”
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The Dirichlet problem for perturbed Stark operators in the half-line by Toloza, Julio H, Uribe, Alfredo

“…We consider the perturbed Stark operator $H_q\varphi = -\varphi" + x\varphi + q(x)\varphi$, $\varphi(0)=0$, in $L^2(\mathbb{R}_+)$, where $q$ is a real-valued…”
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Oversampling on a class of symmetric regular de Branges spaces by Silva, Luis O, Toloza, Julio H

“…A de Branges space $\mathcal B$ is regular if the constants belong to its space of associated functions and is symmetric if it is isometrically invariant under…”
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One-dimensional Stark operators in the half-line by Toloza, Julio H, Uribe, Alfredo

“…We obtain asymptotic formulas for the spectral data of perturbed Stark operators associated with the differential expression \[ -\frac{d^2}{dx^2} + x + q(x),…”
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Oversampling and aliasing in de Branges spaces arising from Bessel operators by Toloza, Julio H, Uribe, Alfredo

“…We show that a class of de Branges spaces, generated by means of generalized Fourier transforms associated with perturbed Bessel differential equations, has…”
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Entropy, fidelity, and double orthogonality for resonance states in two-electron quantum dots by Pont, Federico M., Osenda, Omar, Toloza, Julio H., Serra, Pablo

“…Resonance states of a two-electron quantum dots are studied using a variational expansion with both real basis-set functions and complex scaling methods. The…”
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Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations by Silva, Luis O, Toloza, Julio H

“…We derive a description of the family of canonical selfadjoint extensions of the operator of multiplication in a de Branges space in terms of singular rank-one…”
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" by Luis O. Silva, Gerald Teschl, Julio H. Toloza

“…Kodaira theory for one-dimensional Schr]]>ö-entire, improving the previously known conditions on the perturbation.]]>…”
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