Mayer's transfer operator and representations of \(\mathrm{GL}_{2}\)

DOI10.1007/s00233-008-9076-2zbMath1146.43006OpenAlexW2086999839MaRDI QIDQ938294

Joachim Hilgert

Publication date: 19 August 2008

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-008-9076-2

zbMATH Keywords

Bergman spacetransfer operatorFrobenius-Perron-Ruelle operatorsemi-group representation

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Integral operators (47G10) Analysis on other specific Lie groups (43A80) Representation of semigroups; actions of semigroups on sets (20M30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the thermodynamic formalism for the Gauss map
• On the relaxation time of Gauss' continued-fraction map. I: The Hilbert space approach (Koopmanism)
• On the relaxation time of Gauss' continued-fraction map. II: The Banach space approach (Transfer operator method)
• Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
• Lie semigroups and their applications
• Transfer operators and dynamical zeta functions for a class of lattice spin models
• Irreducibility of certain unitary representations
• The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙)
• Polar and Ol'shanskii decompositions.
• A Lewis Correspondence for submodular groups
• Representation theory and convexity
• Period functions for Maass wave forms. I.

This page was built for publication: Mayer's transfer operator and representations of \(\mathrm{GL}_{2}\)