7 citations · 43 across the 21 of their papers we have counts for
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Star exponential functions as two-valued elements
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
We propose a relatively new notion of two-valued elements, which arises naturally in constructing the star exponential functions of the quad-ratics in the Weyl algebra over the com…
Geometric objects in an approach to quantum geometry
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
Ideas from deformation quantization applied to algebras with one generator lead to methods to treat a nonlinear flat connection. It provides us elements of algebras to be parallel…
Expressions of algebra elements and transcendental noncommutative calculus
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
Ideas from deformation quantization are applied to deform the expression of elements of an algebra. Extending these ideas to certain transcendental elements implies that $\frac{1}{…