\(L^ p\) matrix coefficients for nilpotent Lie groups

DOI10.1216/rmjm/1181072072zbMath0866.22011OpenAlexW2073500576WikidataQ115239927 ScholiaQ115239927MaRDI QIDQ1815501

Calvin C. Moore, Lawrence J. Corwin

Publication date: 12 November 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol26-2/CONT26-2/CONT26-2.html

zbMATH Keywords

Hilbert spaceunitary representationnilpotent Lie groupsemisimple groupsSchwartz spacematrix coefficientsspace of operators

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on (p)-adic Lie groups (22E35) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (2)

Smooth lattice orbits of nilpotent groups and strict comparison of projections ⋮ Modulation spaces of symbols for representations of nilpotent Lie groups

Cites Work

• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• Asymptotic properties of unitary representations
• A new decision method for elementary algebra
• Square Integrable Representations of Nilpotent Groups
• Generic Representations are Induced from Square-Integrable Representations
• Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group
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