The following sections are included: Introduction and statement of the problem; Random variables in CeHeis (1); Infinite divisibility; Kernels and matrices; Positive definite kernels; Functions of positive definite matrices and kernels; Conditionally positive definite kernels; Infinitely divisible kernels; The Kolmogorov decomposition theorem for –valued PD kernels; Boson Fock spaces; Infinitely divisible kernels and Boson Fock spaces; References

Accardi, L., Boukas, A., Misiewicz, J. (2010). Existence of the Fock representation for current algebras of the Galilei algebra. In Quantum probability and related topics: proceedings of the 30th Conference, Santiago, Chile, 23-28 November 2009 (pp.1-33). World Scientific [10.1142/9789814338745_0001].

Existence of the Fock representation for current algebras of the Galilei algebra

ACCARDI, LUIGI;
2010-01-01

Abstract

The following sections are included: Introduction and statement of the problem; Random variables in CeHeis (1); Infinite divisibility; Kernels and matrices; Positive definite kernels; Functions of positive definite matrices and kernels; Conditionally positive definite kernels; Infinitely divisible kernels; The Kolmogorov decomposition theorem for –valued PD kernels; Boson Fock spaces; Infinitely divisible kernels and Boson Fock spaces; References
Conference on quantum probability and related topics
Santiago (Chile)
2009
30.
Rilevanza internazionale
su invito
nov-2009
2010
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
Galilei algebra; Heisenberg algebra; central extension; Fock representation; positive definite kernel; infinitely divisible distribution
Intervento a convegno
Accardi, L., Boukas, A., Misiewicz, J. (2010). Existence of the Fock representation for current algebras of the Galilei algebra. In Quantum probability and related topics: proceedings of the 30th Conference, Santiago, Chile, 23-28 November 2009 (pp.1-33). World Scientific [10.1142/9789814338745_0001].
Accardi, L; Boukas, A; Misiewicz, J
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/45799
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