Growth of connected locally compact groups

DOI10.1016/0022-1236(73)90092-XzbMath0247.43001MaRDI QIDQ2555994

J. W. Jenkins

Publication date: 1973

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

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) General properties and structure of locally compact groups (22D05)

Related Items (46)

Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ Spectral synthesis on algebras of orthogonal polynomial series ⋮ Metric equivalences of Heintze groups and applications to classifications in low dimension ⋮ On the structure of groups with polynomial growth ⋮ Fixed points of Lie group actions on surfaces ⋮ Connected Lie groups and property RD ⋮ Fixed points in convex cones ⋮ Distal Actions of Automorphisms of Lie Groups G on Sub_G ⋮ Foliations of polynomial growth are hyperfinite ⋮ Functions of translation type and Wiener's algebra ⋮ Ergodic theorems and the construction of summing sequences in amenable locally compact groups ⋮ Polynomially growing harmonic functions on connected groups ⋮ An Archimedian Property for Groups with Polynomial Growth ⋮ Commutative subalgebra of 𝐿¹(𝐺) associated with a subelliptic operator on a Lie group 𝐺 ⋮ Amenable uniformly recurrent subgroups and lattice embeddings ⋮ Analysis on Lie groups ⋮ Ergodic theory, group representations, and rigidity ⋮ L 1-determined ideals in group algebras of exponential Lie groups ⋮ Invariant Measures and Growth Conditions ⋮ On heat kernels on Lie groups ⋮ Property (RD) for algebraic \(p\)-adic groups. ⋮ On the existence of exceptional minimal sets in foliations of codimension one ⋮ Metric properties on Lie groups of polynomial volume growth ⋮ Symmetrie in Banachschen Algebren ⋮ Ideal theory in group algebras of locally compact groups ⋮ Groups with \(T_1\) primitive ideal spaces ⋮ Parameter rigid actions of the Heisenberg groups ⋮ A fixed point theorem for exponentially bounded groups ⋮ A geometric approach to on-diagonal heat kernel lower bounds on groups. ⋮ Räume primitiver Ideale in Gruppenalgebren ⋮ Groups admitting ergodic actions with generalized discrete spectrum ⋮ A class of symmetric and a class of Wiener group algebras ⋮ Amenability: A survey for statistical applications of hunt-stein and related conditions on groups ⋮ A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces ⋮ A distal property of groups and the growth of connected locally compact groups ⋮ Polynomial growth and ideals in group algebras ⋮ Radial rapid decay property for cocompact lattices ⋮ Rapid decay property for algebraic \(p\)-adic groups ⋮ Group structure and the pointwise ergodic theorem for connected amenable groups ⋮ On growth, recurrence and the Choquet-Deny theorem for \(p\)-adic Lie groups ⋮ Action d'une forme réelle d'un groupe de Lie complexe sur les fonctions plurisousharmoniques ⋮ DISTAL ACTIONS OF AUTOMORPHISMS OF NILPOTENT GROUPS G ON SUB_G AND APPLICATIONS TO LATTICES IN LIE GROUPS ⋮ Topological groups ⋮ Exponential radicals of solvable Lie groups ⋮ Identity excluding groups ⋮ Invariant subspaces of affine groups - An algebraic version of a theorem of Bieberbach

Cites Work

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• Symmetry and nonsymmetry in the group algebras of discrete groups
• Growth of finitely generated solvable groups
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• Uniform distribution in solvmanifolds
• On the spectrum of convolution operators on groups with polynomial growth
• Unitary representations of solvable Lie groups
• Free semigroups and unitary group representations
• Asymptotic Behavior of Products C p = C + ⋯+ C in Locally Compact Abelian Groups
• On positive functionals on a group algebra multiplicative on a subalgebra

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