Asymptotic properties of unitary representations

From MaRDI portal
Publication:1256581

DOI10.1016/0022-1236(79)90078-8zbMath0404.22015OpenAlexW2052259206MaRDI QIDQ1256581

Calvin C. Moore, Roger E. Howe

Publication date: 1979

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90078-8



Related Items

The Rajchman algebra \(B_{0}(G)\) of a locally compact group \(G\), Kazhdan sets in groups and equidistribution properties, Derivations on the algebra of Rajchman measures, Best possible rates of distribution of dense lattice orbits in homogeneous spaces, Matrix coefficients and a Weyl correspondence for nilpotent Lie groups, Dual pair \(G_{\mathcal J}\times PGL_ 2 G_{\mathcal J}\) is the automorphism group of the Jordan algebra \({\mathcal J}\), On the rate of equidistribution of expanding horospheres in finite-volume quotients of \(\mathrm{SL}(2,\mathbb{C})\), Class numbers of orders in complex quartic fields, A generalization of Birkhoff's pointwise ergodic theorem, Effective decay of multiple correlations in semidirect product actions, On the sphericity of the subgroup \(\mathrm{PSL}_2(\mathbb{R})\) in the group of diffeomorphisms of the circle, Strongly mixing groups, Finite entropy actions of free groups, rigidity of stabilizers, and a Howe-Moore type phenomenon, Integrable measure equivalence and the central extension of surface groups, The residual spectrum of $\mathrm {Mp}_4(\mathbf {A}_k)$, A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method, On the automorphic theta representation for simply laced groups, Geometry of dual spaces of reductive groups (non-Archimedean case), Homogeneous asymptotic limits of Haar measures of semisimple linear groups and their lattices, Spaces invariant under unitary representations of discrete groups, Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow, Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups, The Whishart-Pickrell distributions and closures of group actions, On the decay of matrix coefficients for exceptional groups, Quantitative multiple mixing, Sector estimates for hyperbolic isometries, A method of proving non-unitarity of representations of \(p\)-adic groups. I, Book Review: The ergodic theory of lattice subgroups, Dirac cohomology for graded affine Hecke algebras., Mixing of frame flow for rank one locally symmetric spaces and measure classification, On L1-kernels of unitary representations of semisimple Lie groups, Cohomological equation and cocycle rigidity of parabolic actions in some higher-rank Lie groups, Braid groups and Hodge theory, Mini-workshop: (Anosov)\(^3\). Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting), Isometric extensions of Anosov flows via microlocal analysis, Character rigidity of simple algebraic groups, Stabilizers of ergodic actions of lattices and commensurators, Vanishing theorems for Lie algebra cohomology and the cohomology of discrete subgroups of semisimple Lie groups, Heisenberg parabolically induced representations of Hermitian Lie groups, part I: Intertwining operators and Weyl transform, The product replacement algorithm and Kazhdan’s property (T), Joint equidistribution of CM points, Einstein billiards and overextensions of finite-dimensional simple Lie algebras, Stabilizers of actions of lattices in products of groups, Duality type results and ergodic actions of simple Lie groups on operator algebras, Higher Order Correlations for Group Actions, Cohomological equation and cocycle rigidity of discrete parabolic actions in some higher-rank Lie groups, The correspondences of infinitesimal characters for reductive dual pairs in simple Lie groups, On quasi-invariance of infinite product measures, Decay of eigenfunctions on semisimple symmetric spaces, Pointwise ergodic theorems for radial averages on simple Lie groups. II, Ergodic theory, group representations, and rigidity, On groups with property \((T_{\ell_p})\), A prime geodesic theorem for \(\mathrm{SL}_4\), Rational points on homogeneous varieties and equidistribution of adelic periods (with appendix by Mikhail Borovoi), Khinchin's theorem for approximation by integral points on quadratic varieties, Diophantine approximation with restricted numerators and denominators on semisimple groups, Apollonian circle packings: dynamics and number theory, Isolatedness of the minimal representation and minimal decay of exceptional groups, Ultrametric logarithm laws. II, Explicit realization of a higher metaplectic representation, Reflection positivity on spheres, A Notion of Rank for Unitary Representations of General Linear Groups, Irreducible lattices, invariant means, and commensurating actions, Ergodic multiplier properties, RESTRICTING COHOMOLOGICAL REPRESENTATIONS OF SO0(n,1) AND SU(n,1), Strong spectral gaps for compact quotients of products of \(\text{PSL}(2,\mathbb R)\), A program for branching problems in the representation theory of real reductive groups, Special representations of rank one orthogonal groups, Spectral theory of the frame flow on hyperbolic 3-manifolds, Distinguished cusp forms are theta series, Vanishing at infinity on homogeneous spaces of reductive type, Unnamed Item, \(L^ p\) matrix coefficients for nilpotent Lie groups, Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces, Horocycle flow on geometrically finite surfaces, Random products of automorphisms of Heisenberg nilmanifolds and Weil’s representation, A prime geodesic theorem for higher rank. II: Singular geodesics, Effectivity of uniqueness of the maximal entropy measure on -adic homogeneous spaces, Orbit closures of generic unipotent flows on homogeneous spaces of \(SL(3,{\mathbb{R}})\), Complemented *-primitive ideals in \(L^ 1\)-algebras of exponential Lie groups and of motion groups, Aperiodic order and spherical diffraction. II: Translation bounded measures on homogeneous spaces, Isometry groups of non-positively curved spaces: discrete subgroups, Unnamed Item, Explicit Kazhdan constants for representations of semisimple and arithmetic groups, Analogs of Wiener's ergodic theorems for semisimple Lie groups. II, On spherical unitary representations of groups of spheromorphisms of Bruhat-Tits trees, ON S-HARDY–LITTLEWOOD HOMOGENEOUS SPACES, Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants, A uniformity of distribution of \(G_ Q\) in \(G_ A\), The Mautner phenomenon for p-adic Lie groups, Irreducible unitary representations of \(\mathrm{SU}(2,2)\), Families of expanding graphs and Hecke pairs, On the boundary of the group of transformations leaving a measure quasi-invariant, Explicit realization of a metaplectic representation, Density of integer points on affine homogeneous varieties, Mixing, counting, and equidistribution in Lie groups, Kazhdan groups acting on compact manifolds, Universal completions of complex classical groups, Poincaré sections for the horocycle flow in covers of \(\mathrm {SL}(2,\mathbb {R})/\mathrm {SL}(2,\mathbb {Z})\) and applications to Farey fraction statistics, Coherent cohomology, limits of discrete series, and Galois conjugation, Orbit equivalence rigidity of irreducible actions of right-angled Artin groups, Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$, Dynamics on nilpotent character varieties, Unnamed Item, COSMOLOGICAL SINGULARITIES, EINSTEIN BILLIARDS AND LORENTZIAN KAC–MOODY ALGEBRAS, A Hausdorff measure version of the Jarník–Schmidt theorem in Diophantine approximation, Anosov groups: local mixing, counting and equidistribution, Restriction of irreducible unitary representations of 𝑆𝑝𝑖𝑛(𝑁,1) to parabolic subgroups, \(H^0\) of Igusa varieties via automorphic forms, Charmenability of higher rank arithmetic groups, Quantitative disjointness of nilflows from horospherical flows, Représentations d'un groupe faiblement équivalentes à la représentation régulière, QUANTUM ERGODICITY FOR COMPACT QUOTIENTS OF IN THE BENJAMINI–SCHRAMM LIMIT, The density hypothesis for horizontal families of lattices, Commutator criteria for strong mixing II. More general and simpler, Howe–Moore type theorems for quantum groups and rigid -tensor categories, On the spectral theory of groups of automorphisms of S-adic nilmanifolds, On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow, Ergodic elements for actions of Lie groups, Quantitative ergodic theorems and their number-theoretic applications, Harmonic Analysis and Pointwise Ergodic Theorems for Noncommuting Transformations, Hypersurfaces with constant scalar curvature in space forms, The orbital counting problem for hyperconvex representations, An external approach to unitary representations, Discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs of exceptional Lie groups of Hermitian type, Local mixing on abelian covers of hyperbolic surfaces with cusps, Hyperbolic geometry and pointwise ergodic theorems, Polyhomomorphisms of locally compact groups, A criterion for discrete branching laws for Klein four symmetric pairs and its application to E6(−14)



Cites Work