Generalized Bochner theorem and Levy-Khinchine representation for completely positive definite generalized Toeplitz kernels
DOI10.1007/BF01192121zbMath0896.47023MaRDI QIDQ1378123
Publication date: 23 September 1998
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
lifting theoremsgeneralized Bochner theoremintegral representation of the positive definite generalized Toeplitz kernelsLevy-Khinchine type formula
Infinitely divisible distributions; stable distributions (60E07) Free probability and free operator algebras (46L54) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)
Cites Work
- Transference of metrics induced by unitary couplings, a Sarason theorem for the bidimensional torus, and a Sz.-Nagy-Foias theorem for two pairs of dilations
- Two-parameter lifting theorems and double Hilbert transforms in commutative and non-commutative settings
- A Representation of Lévy-Khinchine Type in Quantum Probability Theory
- Scattering Matrices in the Theory of Unitary Extension of Isometric Operators
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