Translation-invariant subspaces in L\(^2\) of a compact nilmanifold. I

DOI10.1007/BF01405260zbMath0259.22016MaRDI QIDQ2560340

Louis Auslander, Jonathan Brezin

Publication date: 1973

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142200

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Analysis on the Heisenberg Manifold, Compact Heisenberg manifolds as CR manifolds, Heisenberg Manifolds and Theta Functions, Attenuation factors and nilpotent harmonic analysis, Symmetry Properties of the Zero Sets of Nil-Theta Functions, Heat kernel transform for nilmanifolds associated to the Heisenberg group, The Calabi–Yau equation on 4-manifolds over 2-tori, Heat kernel transform on nilmanifolds associated to H-type groups, Theta functions on the Kodaira–Thurston manifold, Invariant subspaces in the theory of operators and theory of functions, Is computing with the finite Fourier transform pure or applied mathematics?

Cites Work

• Unitary representations of group extensions. I
• Estimates for translation invariant operators in \(L^p\) spaces
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• A theorem of Stone and von Neumann
• Harmonic Analysis on Nilmanifolds
• Invariant subspace theory for three-dimensional nilmanifolds
• Decomposition of the L 2 -Space of a General Compact Nilmanifold