Here follows a list of research papers presented in inverse
chronological order. Alternatively, one can find a less up-to-date
list of papers with additional information in Luis
O. Silva's MathSciNet entry (MathSciNet database is available by
subscription only). Another source of information is Google
scholar.
Research papers in refereed journals
-
Selfadjoint extensions of the multiplication operator in de
Branges spaces as singular rank-one perturbations (with J. Toloza)
Complex Var. Elliptic Equ.
In press.
-
Oversampling and undersampling in de Branges spaces arising
from regular Schrödinger operators (with J. Toloza and A. Uribe)
Complex Analysis and Operator Theory.
In press.
-
Dissipative extension theory for linear relations (with J. Rios-Cangas)
Expo. Math.
In press.
-
Green matrix estimates of block Jacobi matrices I: Unbounded
gap in the essential spectrum (with J. Janas and S. Naboko)
Integr. Equ. Oper. Theory
90
(4) (2018) Art. 496 24pp
-
Stability of determinacy and inverse spectral problems for
Jacobi operators (with R. del Rio)
Oper. Matrices.
12
(3) (2018) 619–641.
-
Functional model for extensions of symmetric operators and
applications to scattering theory (with K. Cherednichenko and A. Kiselev)
Netw. Heterog. Media.
13
(2) (2018) 191–215.
-
Inverse spectral analysis for a class of finite band symmetric
matrices (with M. Kudryavtsev and S. Palafox)
New York J. Math.
23
(2017) 1141–1171.
-
Inverse problems for Jacobi operators IV: Interior mass-spring perturbations of semi-infinite systems (with
R del Rio and M. Kudryavtsev)
Inverse Problems
33
(2017) 055014 (30 pp).
-
Inverse spectral analysis for a class of infinite band symmetric
matrices (with M. Kudryavtsev and S. Palafox)
J. Math. Anal. Appl.
445
(1)
(2017) 762–783.
-
On a linear interpolation problem for n-dimensional vector polynomials.
(with M. Kudryavtsev and S. Palafox).
J. Approx. Theory.
199
(2015) 45–62.
-
Spectral analysis for linear semi-infinite mass-spring systems
(with R. del Rio).
Math. Nachr.
288
(11-12)
(2015) 1241–1253.
-
Singular Schrödinger operators as self-adjoint extensions of n-entire operators
(with G. Teschl and J. Toloza).
Proc. Amer. Math. Soc.
143
(5)
(2015) 2103–2115.
-
On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions
(with J. Toloza).
J. Math. Anal. Appl.
421
(2)
(2015) 996–1005.
-
A class of n-entire Schrödinger operators
(with J. Toloza).
Complex Anal. Oper. Theory
8
(8)
(2014) 1581–1599.
-
The class of n-entire operators
(with J. Toloza).
J. Phys. A: Math. Theor.
46
(2)
(2013) 025202.
-
Inverse problems for Jacobi operators II: Mass perturbations of semi-infinite mass-spring systems
(with R. del Rio and M. Kudryavtsev).
J. of Math. Phys. Anal. Geom.
9
(2)
(2013) 165–190.
-
Inverse problems for Jacobi operators III: Mass-spring perturbations of semi-infinite systems
(with R. del Rio and M. Kudryavtsev).
Inv. problems and imaging
6
(4)
(2012) 599–621.
-
Spectral measures of Jacobi operators with random potentials
(with R. del Rio).
Oper. Matrices
5
(3)
(2011) 435–448.
-
On the spectral characterization of entire operators
with deficiency indices (1,1)
(with J. Toloza).
J. Math. Anal. Appl.
367
(2010) 360–373.
-
Discrete spectrum in a critical coupling case of Jacobi matrices with
spectral phase transitions by uniform asymptotic analysis (with
S. Naboko and I. Pchelintseva).
J. Approx. Theory.
161
(1) (2009), 314–336.
-
The two spectra inverse problem for semi-infinite
Jacobi matrices in the limit circle case
(with R. Weder).
Math. Phys. Anal. Geom.
11
(2) (2008), 131–154.
-
Bounded rank-one perturbations in sampling
theory
(with J. Toloza).
J. Math. Anal. Appl.
345
(2008) 661–669.
-
Applications of Krein's theory of regular symmetric
operators to sampling theory
(with J. Toloza).
J. Phys. A: Math. Theor.
40
(31) (2007) 9413–9426.
-
Jacobi matrices with rapidly growing weights having only discrete
spectrum
(with J. Toloza).
J. Math. Anal. Appl.
328
(2) (2007) 1087–1107.
-
On the two spectra inverse problem for semi-infinite Jacobi matrices
(with R. Weder).
Math. Phys. Anal. Geom.
9
(3) (2006), 263–290.
-
The asymptotic behavior of eigenvalues of a modified Jaynes-Cummings
model
(with A. Boutet de Monvel and S. Naboko).
Asymptot. Anal.
47
(3-4) (2006) 291–315.
-
Rank one perturbations of Jacobi matrices with mixed spectra (with
R. del Rio and M. Kudryavtsev).
Math. Nachr.
279
(5-6) (2006) 502–512.
-
Eigenvalue asymptotics of a modified Jaynes-Cummings model with periodic
modulations
(with A. Boutet de Monvel and S. Naboko).
C.R. Acad. Sci. Paris, Ser. I
338
(1) (2004) 103–107.
Research papers in refereed proceedings
-
The spectra of selfadjoint extensions of entire operators with deficiency indices (1,1)
(with J. Toloza).
Operator Theory: Adv. and Appl.
227
(2013) 151–164.
-
Uniform and smooth Benzaid-Lutz type theorems and applications to
Jacobi matrices.
Operator Theory: Adv. and Appl.
174
(2007) 173–186.
-
Uniform Levinson type theorems for discrete linear systems.
Operator Theory: Adv. and Appl.
154
(2004) 203–218.
-
Spectral properties of Jacobi matrices with rapidly growing power-like
weights.
Operator Theory: Adv. and Appl.
132
(2002) 387–394.
Preprints
Last modified: 2019-05-20
