Zobrazeno 1 - 10
of 248
pro vyhledávání: '"Grünbaum, F. A."'
Publikováno v:
Applied and Computational Harmonic Analysis, Volume 68, 2024
The "time-and-band limiting" commutative property was found and exploited by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960's, and independently by M. Mehta and later by C. Tracy and H. Widom in Random matrix theory. The property in que
Externí odkaz:
http://arxiv.org/abs/2406.12854
Autor:
Castro, M. M., Grünbaum, F. A.
Publikováno v:
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 81 (2024)
We exhibit three examples showing that the "time-and-band limiting" commutative property found and exploited by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960's, and independently by M. Mehta and later by C. Tracy and H. Widom in Random
Externí odkaz:
http://arxiv.org/abs/2210.13928
The bispectral problem is motivated by an effort to understand and extend a remarkable phenomenon in Fourier analysis on the real line: the operator of time-and-band limiting is an integral operator admitting a second-order differential operator with
Externí odkaz:
http://arxiv.org/abs/2201.08989
The list of physically motivated urn models that can be solved in terms of classical orthogonal polynomials is very small. It includes a model proposed by D. Bernoulli and further analyzed by S. Laplace and a model proposed by P. and T. Ehrenfest and
Externí odkaz:
http://arxiv.org/abs/2105.00614
Beginning with the work of Landau, Pollak and Slepian in the 1960s on time-band limiting, commuting pairs of integral and differential operators have played a key role in signal processing, random matrix theory and integrable systems. Previously, suc
Externí odkaz:
http://arxiv.org/abs/2003.11616
Publikováno v:
Annales Henri Poincar\'e 21, 189-239 (2020)
In this work we study the recurrence problem for quantum Markov chains, which are quantum versions of classical Markov chains introduced by S. Gudder and described in terms of completely positive maps. A notion of monitored recurrence for quantum Mar
Externí odkaz:
http://arxiv.org/abs/1907.01310
Publikováno v:
Comm. Math. Phys. 389:31-74 (2022)
This paper uncovers and exploits a link between a central object in harmonic analysis, the so-called Schur functions, and the very hot topic of symmetry protected topological phases of quantum matter. This connection is found in the setting of quantu
Externí odkaz:
http://arxiv.org/abs/1903.07494
Autor:
Grünbaum, F. Alberto
A classical result of K. L. Chung and W. Feller deals with the partial sums $S_k$ arising in a fair coin-tossing game. If $N_n$ is the number of "positive" terms among $S_1, S_2,\dots,S_n$ then the quantity $P(N_{2n}=2r)$ takes an elegant form. We li
Externí odkaz:
http://arxiv.org/abs/1810.06092
Akademický článek
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Publikováno v:
International Mathematics Research Notices, 2018, rny140
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 compute its eigenfunctions.
Externí odkaz:
http://arxiv.org/abs/1801.10261