\(f\)-algebra structure on hyperbolic numbers

DOI10.1007/s00006-016-0644-3zbMath1403.06028OpenAlexW2268401502MaRDI QIDQ2360822

Hichem Gargoubi, Sayed Kossentini

Publication date: 29 June 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-016-0644-3

zbMATH Keywords

latticespositive operator\(f\)-algebraRiesz spacehyperbolic numbersRiesz homomorphism

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Analytic geometry with other transformation groups (51N25)

Related Items (6)

Introduction to hybrid numbers ⋮ Holographic coordinates ⋮ Split complex bi-periodic Fibonacci and Lucas numbers ⋮ MORE ABOUT CANTOR LIKE SETS IN HYPERBOLIC NUMBERS ⋮ GENERALIZED ITERATED FUNCTION SYSTEMS ON HYPERBOLIC NUMBER PLANE ⋮ Algebraic properties of bihyperbolic numbers

Cites Work

• Cauchy-like integral formula for functions of a hyperbolic variable
• The Poincaré mass operator in terms of a hyperbolic algebra
• Relativistic quantum physics with hyperbolic numbers
• Geometry of Minkowski space-time
• The Clifford algebra and its applications
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Bicomplex quantum mechanics. II: The Hilbert space
• Hyperbolic quantization
• Hyperbolic calculus
• Hyperbolic Hilbert space
• Unipodal algebra and 2nd-order linear differential equations
• Representations of Clifford algebras with hyperbolic numbers
• Two-dimensional hypercomplex numbers and related trigonometries and geometries
• Hyperbolic Schrödinger equation
• Ideal Theory in f-Algebras
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• Hyperbolic quantum mechanics
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