A logarithmic Sobolev inequality for the free loop group

DOI10.1016/S0764-4442(97)89475-XzbMath0910.22020MaRDI QIDQ4217010

Trevor R. Carson

Publication date: 7 January 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

logarithmic Sobolev inequalitycompact connected Lie groupfree loop group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Loop groups and related constructions, group-theoretic treatment (22E67)

Related Items (4)

Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups ⋮ Logarithmic Sobolev inequality on free loop groups for heat kernel measures associated with the general Sobolev spaces ⋮ LOGARITHMIC SOBOLEV INEQUALITY FOR $H_0^s$-METRIC ON PINNED LOOP GROUPS ⋮ Convergence of finite dimensional distributions of heat kernel measures on loop groups

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