A Lie group structure for Fourier integral operators

DOI10.1007/BF01450921zbMath0619.58010OpenAlexW2028900899WikidataQ115393495 ScholiaQ115393495MaRDI QIDQ1089646

Rudolf Schmid, Malcolm R. Adams, Tudor S. Ratiu

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164180

zbMATH Keywords

pseudodifferential operatorsFourier integral operatorsLie group structure

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Pseudodifferential and Fourier integral operators on manifolds (58J40) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items

On \(\mathrm{Diff}(M)\)-pseudo-differential operators and the geometry of non linear Grassmannians ⋮ On completeness of groups of diffeomorphisms ⋮ Infinite-dimensional Lie groups and algebras in mathematical physics ⋮ LIFTS OF SYMPLECTIC DIFFEOMORPHISMS AS AUTOMORPHISMS OF A WEYL ALGEBRA BUNDLE WITH FEDOSOV CONNECTION ⋮ Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase factorization, and Frölicher Lie groups ⋮ Diffeomorphism groups of compact manifolds ⋮ Towards a Lie theory of locally convex groups ⋮ On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces. ⋮ A Lie group structure for pseudodifferential operators

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