Global Trace Formula for Ultra-Differentiable Anosov Flows
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-020-03930-x
Abstract: Adapting tools that we introduced in Jézéquel (J Spectr Theory 10(1):185–249, 2020) to study Anosov flows, we prove that the trace formula conjectured by Dyatlov and Zworski in (Ann. Sci. Éc. Norm. Supér. (4) 49(3):543–577,… read more here.
Keywords: global trace; anosov flows; trace formula;
Trace formula and new form of N-soliton to the Gerdjikov–Ivanov equation
Sign Up to like & getrecommendations! Published in 2018 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-017-0179-3
Abstract: The Gerdjikov–Ivanov equation is investigated by the Riemann–Hilbert approach and the technique of regularization. The trace formula and new form of N-soliton solution are given. The dynamics of the stationary solitons and non-stationary solitons are… read more here.
Keywords: gerdjikov ivanov; ivanov equation; formula new; new form ... See more keywords
A Trace Formula for the Index of B-Fredholm Operators
Sign Up to like & getrecommendations! Published in 2018 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091518000147
Abstract: Abstract In this paper we define B-Fredholm elements in a Banach algebra A modulo an ideal J of A. When a trace function is given on the ideal J, it generates an index for B-Fredholm… read more here.
Keywords: index; index fredholm; fredholm operators; fredholm ... See more keywords
Periodic orbit theory of Bethe-integrable quantum systems: an N-particle Berry–Tabor trace formula
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/accee6
Abstract: One of the fundamental results of semiclassical theory is the existence of trace formulae showing how spectra of quantum mechanical systems emerge from massive interference among amplitudes related with time-periodic structures of the corresponding classical… read more here.
Keywords: particle; berry tabor; trace; trace formula ... See more keywords
Selberg trace formula in hyperbolic band theory.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.034114
Abstract: We apply Selberg's trace formula to solve problems in hyperbolic band theory, a recently developed extension of Bloch theory to model band structures on experimentally realized hyperbolic lattices. For this purpose we incorporate the higher-dimensional… read more here.
Keywords: theory; selberg trace; trace formula; trace ... See more keywords
Spectrum and a Trace Formula for a Compactly Supported Perturbation of the 2D Harmonic Oscillator in a Strip
Sign Up to like & getrecommendations! Published in 2019 at "Differential Equations"
DOI: 10.1134/s0012266119050094
Abstract: The spectrum of a “distorted” two-dimensional harmonic oscillator in a strip is studied. We prove a spectrum localization theorem and obtain a regularized trace formula for a compactly supported perturbation of this operator. read more here.
Keywords: oscillator strip; harmonic oscillator; supported perturbation; trace formula ... See more keywords
Trace Formula for Integral Points on the Three-Dimensional Sphere
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DOI: 10.1134/s1064562420010044
Abstract: Abstract Average values over integral points on a three-dimensional sphere with an arbitrary smooth weight function are studied. For them, an expansion of the mean product of two L-series associated with the Hecke basis in… read more here.
Keywords: three dimensional; dimensional sphere; points three; formula integral ... See more keywords
A local trace formula for the generalized Shalika model
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DOI: 10.1215/00127094-2018-0064
Abstract: We study local multiplicities associated to the so-called generalized Shalika models. By establishing a local trace formula for these kind of models, we are able to prove a multiplicity formula for discrete series. As a… read more here.
Keywords: generalized shalika; formula; formula generalized; trace formula ... See more keywords