Abstract
The hyperbolic complex space is one class of non-Euclidean spaces with continuous singular points. It corresponds with Minkowski space, and it has the characteristic that the space-time direction is different in nature. Regard the hyperbolic complex space as original spaces. We can abstract a class of the hyperbolic inner product space and the hyperbolic Hilbert space.
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References
Baylis William E., “Clifford (geometric) algebra with applications to physics, Mathematics and engineering”, Bukhauser, 1996.
Yu Xuegang and Yu Xueqian, Hyperbolic complex analysis and theory of relativity,Acta Mathematica Scientia,15 (4) 435, (1995) (in Chinese)
Yu Xuegang, Hyperbolic Multi-topology and the basic principle in quantum mechanics,Advances in Applied Clifford Algebras,9 (1), 109 (1999).
Yu Xuegang, Hyperbolic Lagrangian Functions,Applied Mathematics and Mechanics,19 (12), 1189 (1998).
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Xuegang, Y. Hyperbolic Hilbert space. AACA 10, 49–60 (2000). https://doi.org/10.1007/BF03042009
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DOI: https://doi.org/10.1007/BF03042009