Results 11 to 20 of about 4,877 (197)
For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering
Communications on Pure and Applied Mathematics, Volume 74, Issue 10, Page 2025-2063, October 2021., 2021 It is well‐known that when the geometry and/or coefficients allow stable trapped rays, the outgoing solution operator of the Helmholtz equation grows exponentially through a sequence of real frequencies tending to infinity. In this paper we show that, even in the presence of the strongest possible trapping, if a set of frequencies of arbitrarily small ...
David Lafontaine +2 more
wiley +1 more source
Campana points of bounded height on vector group compactifications
Proceedings of the London Mathematical Society, Volume 123, Issue 1, Page 57-101, July 2021., 2021 Abstract We initiate a systematic quantitative study of subsets of rational points that are integral with respect to a weighted boundary divisor on Fano orbifolds. We call the points in these sets Campana points. Earlier work of Campana and subsequently Abramovich shows that there are several reasonable competing definitions for Campana points.
Marta Pieropan +3 more
wiley +1 more source
On the decoupled Markov group conjecture
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021 Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
wiley +1 more source
Sobre el Teorema Tauberiano de W. Rudin
Revista de Matemática: Teoría y Aplicaciones, 2012 Using W. Rudin’s method it is shown that the tauberian theorem can be generalized to several kernels other than the Poisson kernel. We also proof an inverse of the tauberian theorem, that is, an abelian theorem.
Marielos Mora
doaj +1 more source
Distributional versions of Littlewood's Tauberian theorem [PDF]
, 2010 We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham +27 more
core +4 more sources
The range of once‐reinforced random walk in one dimension
Random Structures &Algorithms, Volume 58, Issue 1, Page 164-175, January 2021., 2021 We study once‐reinforced random walk on . For this model, we derive limit results on all moments of its range using Tauberian theory.
Peter Pfaffelhuber, Jakob Stiefel
wiley +1 more source
An application of results by Hardy, Ramanujan and Karamata to Ackermannian functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 The Ackermann function is a fascinating and well studied paradigm for a function which eventually dominates all primitive recursive functions. By a classical result from the theory of recursive functions it is known that the Ackermann function can be
Andreas Weiermann
doaj +2 more sources
Converse Theorems for the Cesàro Summability of Improper Integrals
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In thispaper we prove converse theorems to obtain usual convergence of improperintegrals from Cesàro summability.
Sefa Anıl Sezer, Rahmet Savaş
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The ridgelet transform and quasiasymptotic behavior of distributions [PDF]
, 2015 We characterize the quasiasymptotic behavior of distributions in terms of a Tauberian theorem for ridgelet transforms.Comment: 13 ...
Kostadinova, Sanja +3 more
core +2 more sources
Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior [PDF]
, 2019 We provide several Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior. Our results generalize and improve various known versions of the Ingham-Fatou-Riesz theorem and the Wiener-Ikehara theorem.
Debruyne, Gregory, Vindas Diaz, Jasson
core +1 more source