Extensions of positive definite integral kernels on the Heisenberg group
From MaRDI portal
Publication:921467
DOI10.1016/0022-1236(90)90060-XzbMath0709.46021OpenAlexW2036998116MaRDI QIDQ921467
Publication date: 1990
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(90)90060-x
Heisenberg groupLie algebrauniversal enveloping algebraintegral formulapositive-definite kernelhermitian representation
Related Items
Von Neumann indices and classes of positive definite functions ⋮ Reproducing kernels: harmonic analysis and some of their applications ⋮ Extension of local positive definite \(\mathbb{Z}_2^n\)-superfunctions ⋮ Orthonormal dilations of parseval wavelets ⋮ On the local operator commutation relations and extensions of locally defined positive definite functions on the Heisenberg group ⋮ Positive elements in the algebra of the quantum moment problem ⋮ Trigonometric moment problems for arbitrary finite subsets of $\mathbb Z^n$ ⋮ Unitary extensions of two-parameter local semigroups of isometric operators and the Krein extension theorem ⋮ Semigroups of measures in non-commutative harmonic analysis ⋮ Unitary dilations of commutation relations associated to alternating bilinear forms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic vectors
- Second-order right-invariant partial differential equations on a Lie group
- The multidimensional moment problem
- Representations of differential operators on a Lie group, and conditions for a Lie algebra of operators to generate a representation of the group
- Quantum mechanics and nilpotent groups. I: The curved magnetic field
- Harmonic analysis on tori
- Spectral transform for the sub-Laplacian on the Heisenberg group
- Partial differential operators and discrete subgroups of a Lie group
- Self adjoint extensions satisfying the Weyl operator commutation relations
- Spectral theory of finite volume domains in \(R^ n\).
- Abstract Plancherel theorems and a Frobenius reciprocity theorem
- Selfadjoint extension operators commuting with an algebra
- Commuting self-adjoint partial differential operators and a group theoretic problem
- Extension of positive definite functions and representation of functions in terms of spherical functions in symmetric spaces of noncompact type of rank 1
- Hypoelliptic second order differential equations
- Subalgebras of \(C^ *\)-algebras
- An extension theorem for positive-definite functions
- The extension problem for positive-definite functions
- On rings of operators. Reduction theory
- Selfadjoint Algebras of Unbounded Operator. II
- The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group
- Shorter Notes: A Formally Normal Operator having no Normal Extension
- Formally Normal Operators Having no Normal Extensions
- Analytic and Entire Vectors for Representations of Lie Groups
- Integral Representation of Functions and Distributions Positive Definite Relative to the Orthogonal Group
- On Functions Positive Definite Relative to the Orthogonal Group and the Representation of Functions as Hankel-Stieltjes Transforms
- Irreducible representations of operator algebras
- Weighted H<scp>ardy</scp> Spaces on S<scp>iegel</scp>'s Half Planes
