The Schrödinger Fock kernel and the no-go theorem for the first order and Renormalized Square of White Noise Lie algebras

DOI10.1090/S0002-9939-2010-10716-5zbMath1225.60122MaRDI QIDQ3020385

Luigi Accardi, Andreas Boukas

Publication date: 4 August 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fock representationpositive definite kernelSchrödinger algebrarenormalized higher powers of white noise

Mathematics Subject Classification ID

White noise theory (60H40) Lie algebras of linear algebraic groups (17B45)

Cites Work

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• Quantum probability, renormalization and infinite-dimensional *-Lie algebras
• BEREZIN QUANTIZATION OF THE SCHRÖDINGER ALGEBRA
• Fock representation of the renormalized higher powers of White noise and the centreless Virasoro (or Witt)–Zamolodchikov–w_∞*-Lie algebra
• Representations of the Schrödinger algebra and Appell systems
• RENORMALIZED POWERS OF QUANTUM WHITE NOISE
• RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY

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