NameMontes Rodríguez, Alfonso
DepartmentAnálisis Matemático
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
E-mailRequest
         
  • No. publications

    26

  • No. visits

    2657

  • No. downloads

    3948


 

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The Klein–Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps

Hedenmalm, Haakan; Hedenmalm, Haakan; Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (European Mathematical Society, 2020)
We study the uncertainty principle associated with the Klein–Gordon equation. As in the previous work [Ann. of Math. 173 ...
Chapter of Book
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Refined size estimates for Furstenberg sets via Hausdorff measures: a survey of some recent results

Cepedello Boiso, Manuel; Cepedello Boiso, Manuel; Hedenmalm, Håkan; Hedenmalm, Håkan; Kaashoek, Marinus A.; Kaashoek, Marinus A.; Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Treil, Sergei; Treil, Sergei; Rela, Ezequiel; Rela, Ezequiel (Springer, 2014)
In this survey we collect and discuss some recent results on the so called “Furstenberg set problem”, which in its classical ...
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Perron-Frobenius operators and the Klein-Gordon equation

Canto Martín, Francisco Manuel; Canto Martín, Francisco Manuel; Hedenmalm, Håkan; Hedenmalm, Håkan; Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (European Mathematical Society, 2014)
For a smooth curve Γ and a set Λ in the plane R2, let AC(Γ; Λ) be the space of finite Borel measures in the plane supported ...
Presentation
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Fourier uniqueness sets and the Klein-Gordon equation

Hedenmalm, Håkan; Hedenmalm, Håkan; Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (2012)
Building on ideas from H. Hedenmalm, H., Montes-Rodríguez, A., Heisenberg uniquenes pairs and the Klein-Gordon equation. Ann. ...
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Heisenberg uniqueness pairs and the Klein-Gordon equation

Hedenmalm, Håkan; Hedenmalm, Håkan; Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (Princeton University, 2011)
A Heisenberg uniqueness pair (HUP) is a pair (Γ, Λ), where Γ is a curve in the plane and Λ is a set in the plane, with the ...
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Invariant subspaces of parabolic self-maps in the Hardy space

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Ponce Escudero, Manuel; Ponce Escudero, Manuel; Shkarin, Stanislav A.; Shkarin, Stanislav A. (International Press, 2010)
It is shown that the lattice of invariant subspaces of the operator of multiplication by a cyclic element of a Banach ...
PhD Thesis
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Retículos de espacios invariantes de operadores de composición

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Ponce Escudero, Manuel; Ponce Escudero, Manuel (2008)
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A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces

Duren, Peter; Duren, Peter; Gallardo Gutiérrez, Eva Antonia; Gallardo Gutiérrez, Eva Antonia; Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (London Mathematical Society, 2007)
An analogue of the Paley–Wiener theorem is developed for weighted Bergman spaces of analytic functions in the upper ...
PhD Thesis
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Operadores de volterra-composición teoría espectral y ciclicidad

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Shkarin, Stanislav A.; Shkarin, Stanislav A.; Rodríguez Martínez, Alejandro; Rodríguez Martínez, Alejandro (2007)
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Composition operators on the weighed Bergman-Nevanlinna classes

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Sharma, Somdatt D.; Sharma, Somdatt D.; Sharma, Ajay K.; Sharma, Ajay K. (Editorial Universidad de Sevilla, 2005)
In this paper we use an α-Carleson measure and a vanishing Carleson measure to characterize bounded and compact composition operators on weighted Bergman-Nevanlinna spaces.
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Analytic contractions and boundary behaviour - an overview

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Aleman, Alexandru; Aleman, Alexandru; Richter, Stefan; Richter, Stefan; Sundberg, Carl; Sundberg, Carl (Editorial Universidad de Sevilla, 2005)
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Volterra operators on spaces of analytic functions - a survey

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Siskakis, Aristomenis; Siskakis, Aristomenis (Editorial Universidad de Sevilla, 2005)
We give a short and selective account of results known about operators of the form Vg(f)(z) = 1/z Z z 0 f(ζ)g0 (ζ) dζ, where g is analytic on the disc and the operator Tg = zVg acts on spaces of analytic functions.
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Invariant subspaces of translation semigroups

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Power, Stephen C.; Power, Stephen C. (Editorial Universidad de Sevilla, 2005)
In these lectures I shall give an account of some recent results and open problems relating to subspaces of square integrable ...
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How large is a Riemann surface: the type problem

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Drasin, David; Drasin, David (Editorial Universidad de Sevilla, 2005)
The uniformization theorem asserts that a simply-connected non-compact Riemann surface S is conformally equivalent to ...
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Banach algebras with trivial cohomology

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; El Harti, Rachid; El Harti, Rachid (Editorial Universidad de Sevilla, 2005)
A plausible conjecture is that Banach algebras with trivial cohomology have to be semisimple and finite dimensional. In ...
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A parametrization for the symbols of a Hankel type operator

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Bermudo Navarrete, Sergio; Bermudo Navarrete, Sergio; Marcantognini, Stefania A. M.; Marcantognini, Stefania A. M.; Morán, María Dolores; Morán, María Dolores (Editorial Universidad de Sevilla, 2005)
Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. In this more general framework, ...
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Composition operators with linear fractional smbols and their adjoints

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Martín Gómez, María José; Martín Gómez, María José (Editorial Universidad de Sevilla, 2005)
We characterize all linear fractional maps of the disk into itself in terms of their coefficients. We also prove the formula ...
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On the growth of Hardy and Bergman norms of functions in the Dirichlet space

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Vukotic, Dragan; Vukotic, Dragan (Editorial Universidad de Sevilla, 2005)
We review the Chang-Marshall inequality of Moser-Trudinger type for the Dirichlet space. We then use a weaker version of ...
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On spectral structure of bounded linear operators on reflexive Banach spaces

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Shkarin, Stanislav A.; Shkarin, Stanislav A.; Smolyanov, Oleg G.; Smolyanov, Oleg G. (Editorial Universidad de Sevilla, 2005)
A descriptive characterization of point, continuous, and residual spectra of operators acting on a separable Hilbert space is obtained. The possible point spectra of bounded linear operators acting on lp, 1 < p < ∞ are characterized.
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Operators on Lp and the role of the image of the unit ball

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Romero Moreno, María del Carmen; Romero Moreno, María del Carmen (Editorial Universidad de Sevilla, 2005)
Let p ∈ [1, +∞] such that its conjugate exponent q is not an even integer and let T be an operator defined on Lp(λ) with ...
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Toeplitz operators and division by inner functions

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso; Girela Álvarez, Daniel; Girela Álvarez, Daniel; González Enríquez, Cristóbal Miguel; González Enríquez, Cristóbal Miguel; Peláez Márquez, José Ángel; Peláez Márquez, José Ángel (Editorial Universidad de Sevilla, 2005)
A subspace X of the Hardy space H1 is said to have the K-property if for any ψ ∈ H∞, the Toeplitz operator Tψ maps X into ...
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Cyclic behavior of linear fractional composition operators

Gallardo Gutiérrez, Eva Antonia; Gallardo Gutiérrez, Eva Antonia; Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (Universidad de Extremadura, 2001)
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The essential norm of a composition operator on Bloch spaces

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (Mathematical Sciences Publishers, 1999)
We express the essential norm of a composition operator on the Bloch space and the little Bloch space as the asymptotic ...
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A Birkhoff theorem for Riemann surfaces

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (Rocky Mountain Mathematics Consortium, 1998)
A classical theorem of Birkhoff asserts that there exists an entire function f such that the sequence of function {/(z + ...
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Banach spaces of hypercyclic vectors

Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (University of Michigan, 1996)
PhD Thesis
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Funciones universales para operadores de composición en superficies de Riemann

Bernal González, Luis; Bernal González, Luis; Montes Rodríguez, Alfonso; Montes Rodríguez, Alfonso (1994)
"Esta memoria está dividida en cuatro capítulos. En el Capítulo cero de preliminares introducimos la notación y recordamos ...