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Two stochastic models of a random walk in the U(n)-spherical duals of U(n+1)
(Springer Heidelberg, 2013-05)
The random walk to be considered takes place in the - spherical dual of the group U(n + 1), for a xed nite dimensional irreducible representation of U(n). The transition matrix comes from the three term recursion ...
Bispectrality and Time-Band-Limiting: Matrix valued polynomials
(Oxford University Press, 2018-05)
The subject of time-band-limiting, originating in signal processing, is dominated by the miracle that a naturallyappearing integral operator admits a commuting dierential one, allowing for a numerically ecient way to compute ...
Chapter 7: A further look at time-and-band limiting for matrix orthogonal polynomials
(World Scientific Publishing Co, 2018)
We extend to a situation involving matrix-valued orthogonal polynomials, a scalar result that originates in work of Shannon and a ground-breaking series of papers by Slepian, Landau and Pollak at Bell Labs in the 1960s. ...
Time and band limiting for matrix valued functions: An integral and a commuting differential operator
(IOP Publishing, 2017-01-09)
The problem of recovering a signal of finite duration from a piece of its Fourier transform was solved at Bell Labs in the 1960's, by exploiting a 'miracle': a certain naturally appearing integral operator commutes with ...
Matrix valued spherical functions associated to the three dimensional hyperbolic space
(World Scientific, 2002-09)
The main purpose of this paper is to compute all irreducible spherical functions on G = SL(2, ℂ) of arbitrary type δ ∈ K̂, where K = SU(2). This is accomplished by associating to a spherical function Φ on G a matrix valued ...
Bispectrality and time-band limiting: Matrix-valued polynomials
(Oxford University Press, 2018-06)
The subject of time-band limiting, originating in signal processing, is dominated by the miracle that a naturally appearing integral operator admits a commuting differential one allowing for a numerically efficient way to ...
El problema de Grünbaum-Hadwiger-Ramos para asignaciones de masa
(Universidad Michoacana de San Nicolás de Hidalgo, 2022-06)
In this thesis we apply methods from algebraic topology to a problem in discrete geometry. To be more precise, the question involves a mass partition problem, whereas the methods include spectral sequences and a cohomological ...
Electrode reaction of Sr1-xLaxCo0.8Fe0.2 O3-δ with x = 0.1 and 0.6 on Ce0.9Gd0.1O1.95 at 600 ≤ T ≤ 800 °C
(Elsevier Science, 2006-03)
The electrode reaction of the perovskite phases Sr1-xLaxCo0.8Fe0.2O 3-δ (x = 0.1 and 0.6) on Ce0.9Gd0.1O1.95 has been investigated by impedance spectroscopy in the temperature range 600 ≤ T ≤ 800 °C. Thick porous electrodes ...
Reflective prolate-spheroidal operators and the KP/KdV equations
(National Academy of Sciences, 2019-09-10)
Commuting integral and differential operators connect the topics of signal processing, random matrix theory, and integrable systems. Previously, the construction of such pairs was based on direct calculation and concerned ...