Elegir campos a generar del autor Francisco Alberto

Personal data All / None
Email
Articles All / None
A new commutativity property of exceptional orthogonal polynomials
Matrix Valued Discrete–Continuous Functions with the Prolate Spheroidal Property and Bispectrality
Time and band limiting for exceptional polynomials
Reflective prolate-spheroidal operators and the adelic Grassmannian
A FEYNMAN-KAC APPROACH TO A PAPER OF CHUNG AND FELLER ON FLUCTUATIONS IN THE COIN-TOSSING GAME
AN URN MODEL FOR THE JACOBI-PIÑEIRO POLYNOMIALS
Serendipity strikes again
Quantum Walks: Schur Functions Meet Symmetry Protected Topological Phases
Commuting integral and differential operators and the master symmetries of the Korteweg-de Vries equation
Bispectrality and time-band limiting: Matrix-valued polynomials
Reflective prolate-spheroidal operators and the KP/KdV equations
Stochastic Darboux transformations for quasi-birth-and-death processes and urn models
Quantum Markov Chains: Recurrence, Schur Functions and Splitting Rules
Stochastic LU factorizations, Darboux transformations and urn models
Some limit laws for quantum walks with applications to a version of the Parrondo paradox
A generalization of Schur functions: Applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks
The Topological Classification of One-Dimensional Symmetric Quantum Walks
Algebraic Heun Operator and Band-Time Limiting
Tridiagonalization and the Heun equation
Time and band limiting for matrix valued functions: An integral and a commuting differential operator
The CMV bispectral problem
Time-and-band limiting for matrix orthogonal polynomials of Jacobi type
A Quantum Dynamical Approach to Matrix Khrushchev's Formulas
Bulk-edge correspondence of one-dimensional quantum walks
Maximal Parrondo’s Paradox for Classical and Quantum Markov Chains
Time and band limiting for matrix valued functions, an example
The Darboux process and time-and-band limiting for matrix orthogonal polynomials
Some noncommutative matrix algebras arising in the bispectral problem
Quantum Recurrence of a Subspace and Operator-Valued Schur Functions
A limit theorem for a 3-period time-dependent quantum walk
Birth and death processes and quantum spin chains
Recurrence for Discrete Time Unitary Evolutions
Two stochastic models of a random walk in the U(n)-spherical duals of U(n + 1)
On a Seminal Paper by Karlin and McGregor
ONE-DIMENSIONAL QUANTUM WALKS WITH ONE DEFECT
The CGMV method for quantum walks
A system of multivariable Krawtchouk polynomials and a probabilistic application
Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization
On a family of 2-variable orthogonal Krawtchouk polynomials
An urn model associated with Jacobi polynomials
Matrix-valued Szego{double acute} polynomials and quantum random walks
Matrix differential equations and scalar polynomials satisfying higher order recursions
The Karlin-McGregor formula for a variant of a discrete version of Walsh's spider
Matrix valued orthogonal polynomials arising from group representation theory and a family of quasi-birth-and-death processes
Matrix orthogonal polynomials satisfying second-order differential equations: coping without help from group representation theory
The algebra of differential operators associated to a weight matrix
The Rahman polynomials are bispectral
Matrix-valued orthogonal polynomials related to su(N+ 1), their algebras of differential operators, and the corresponding curves
The Noncommutative Bispectral Problem for Operators of Order One
P A M Dirac meets M G Krein: Matrix orthogonal polynomials and Dirac's equation
The algebra of differential operators associated to a family of matrix-valued orthogonal polynomials: Five instructive examples
An Identification Problem for Multiterminal Networks: Solving for the Traffic Matrix from Input-Output Measurements
Orthogonal matrix polynomials, scalar-type Rodrigues' formulas and Pearson equations
A survey on orthogonal matrix polynomials satisfying second order differential equations
Structural formulas for orthogonal matrix polynomials satisfying second-order differential equations, I
A characterization for a class of weight matrices with orthogonal matrix polynomials satisfying second-order differential equations
Linear operator pencils on Lie algebras and Laurent biorthogonal polynomials
Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations
Matrix valued orthogonal polynomials of the Jacobi type
A noncommutative version of the bispectral problem
The Heisenberg inequality for the discrete Fourier transform
Matrix valued spherical functions associated to the three dimensional hyperbolic space
Explicit inversion formulas for a model in diffuse tomography
Matrix valued spherical functions associated to the complex projective plane
A nonlinear inverse problem inspired by three-dimensional diffuse tomography: Explicit formulas
Heat kernel expansions on the integers
Discrete bispectral Darboux transformations from Jacobi operators
Discrete models of the harmonic oscillator and a discrete analogue of Gauss' hypergeometric equation
Electrostatic interpretation for the zeros of certain polynomials and the Darboux process
Bessel functions of two variables: Some power series and plots
A matrix-valued solution to Bochner's problem
A nonlinear inverse problem inspired by three-dimensional diffuse tomography
Diffuse tomography: Using time-of-flight information in a two-dimensional model
Some functions that generalize the Krall-Laguerre polynomials
Variations on a theme of Heine and Stieltjes: An electrostatic interpretation of the zeros of certain polynomials
Bispectral Darboux Transformations: An Extension of the Krall Polynomials
On the Krall-Hermite and the Krall-Bessel Polynomials
Some functions that generalize the Askey-Wilson polynomials
The q-version of a theorem of Bochner
Time-band limiting and the bispectral problem
Three-dimensional scattering and the Heisenberg inequality
Diffuse tomography: The isotropic case
Diffuse tomography: Computational aspects of the isotropic case
Some new explorations into the mystery of time and band limiting
Relating microscopic and macroscopic parameters for a 3-dimensional random walk
Image reconstruction of the interior of bodies that diffuse radiation
Concentrating a potential and its scattering transform for a discrete version of the Schrödinger and Zakharov-Shabat operators
The Kadomtsev-Petviashvili equation: An alternative approach to the "rank two" solutions of Krichever and Novikov
The Fourier transform and the discrete Fourier transform
The scattering problem for a phase-modulated hyperbolic secant pulse
An exploration of the invertibility of the Bloch transform: II
Commuting pairs of linear ordinary differential operators of orders four and six
Differential equations in the spectral parameter
An exploration of the invertibility of the Bloch transform
Tomographic methods in range-Doppler radar
Spectral properties of a differential operator related to the inversion of the finite Laplace transform
Some nonlinear evolution equations and related topics arising in medical imaging
Commuting differential operators for the finite Laplace transform
A remark on higher-order correlations and non-uniqueness
An inverse problem related to the Bloch equations and a non-linear Fourier transform
Orthogonal polynomials and second-order differential equations
A new property of reproducing kernels for classical orthogonal polynomials
Differential operators commuting with convolution integral operators
Limited angle reconstruction problems in x-ray and nmr tomography
DIFFERENTIAL OPERATORS COMMUTING WITH FINITE CONVOLUTION INTEGRAL OPERATORS: SOME NON-ABELIAN EXAMPLES.
The eigenvectors of the discrete Fourier transform: A version of the Hermite functions
A remark on Hilbert's matrix
Toeplitz matrices commuting with tridiagonal matrices
Tomographic reconstruction with arbitrary directions
Finite Convolution Integral Operators Commuting with Differential Operators: Some Counterexamples
A Study of Fourier Space Methods for “Limited Angle” Image Reconstruction
On sets of differences
The spectrum of a random 3 × 3 matrix
Simultaneous Unitary Equivalence
Unique factorization in random variables
Cubic forms in Gaussian variables
Remark on the phase problem in crystallography
The determinant of a random matrix
The square of shot noise
Identifying a Gaussian signal after a zero-memory filter
Recovering a function from its gram determinants
Looking at a Gaussian process through a window
A new kind of inequality for Bessel functions
The square of a Gaussian process
On the existence of a "Wave Operator" for the Boltzmann equation
LINEARIZATION FOR THE BOLTZMANN EQUATION
An inverse problem for gaussian processes
Propagation of chaos for the Boltzmann equation
Books, chapters, theses All / None
Occupation Time for Classical and Quantum Walks
A further look at time-and-band limiting for matrix orthogonal polynomials
The Darboux process and a noncommutative bispectral problem: Some explorations and challenges
Trying to beat heisenberg
Conferences All / None
A spectral weight matrix for a discrete version of Walsh’s spider
Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples
Matrix valued orthogonal polynomials of jacobi type: The role of group representation theory
The magic of the prolate spheroidal functions in various setups
Diffuse tomography
Metrics All / None
H-Index