HILBERT SPACE OVER COMPLEX HYPERBOLIC NUMBERS AND HYPER-TRIGONOMETRIC INTERFERENCE

DOI10.1142/S0219025709003847zbMath1184.46065OpenAlexW2124218898MaRDI QIDQ3643568

Andrei Yu. Khrennikov

Publication date: 9 November 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025709003847

zbMATH Keywords

Hilbert spacequantum probabilitycomplex hyperbolic numbershyper-trigonometric interference of probabilities

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Noncommutative probability and statistics (46L53) Applications of functional analysis in quantum physics (46N50)

Cites Work

• Unnamed Item
• Interference of probabilities in the classical probabilistic framework
• FOURIER ANALYSIS OVER HYPERBOLIC ALGEBRA, PSEUDO-DIFFERENTIAL OPERATORS, AND HYPERBOLIC DEFORMATION OF CLASSICAL MECHANICS
• Interference of probabilities and number field structure of quantum models
• Linear representations of probabilistic transformations induced by context transitions

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