A Poincaré determinant on the torus

DOI10.1007/s11868-022-00461-yOpenAlexW4281696757WikidataQ114221596 ScholiaQ114221596MaRDI QIDQ2144177

Julio Delgado

Publication date: 1 June 2022

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.14514

zbMATH Keywords

Fredholm determinantsHill's equationpseudo-differential operatorsPoincaré determinant

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Analysis on real and complex Lie groups (22E30) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Cites Work

• Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
• Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves
• Fourier multipliers, symbols, and nuclearity on compact manifolds
• Schatten classes and traces on compact groups
• Schatten classes on compact manifolds: kernel conditions
• Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models
• \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
• Robust and Efficient Solution of the Drum Problem via Nyström Approximation of the Fredholm Determinant
• On the numerical evaluation of Fredholm determinants
• Pseudo-Differential Operators and Symmetries
• Fredholm determinants and the Camassa-Holm hierarchy
• Traces and determinants of linear operators

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