Trigonometric identities in *-algebras |
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| Authors: | Żywilla Fechner |
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| Affiliation: | Institute of Mathematical Finance, Ulm University, Helmholzstraße 18, 89081, Germany |
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| Abstract: | ![]()
We deal with two systems of trigonometric equations where unknown functions are defined on a group and take values in a (not-necessarily commutative) complex algebra with involution. Our purpose is to give some extension of sine and cosine functions from the scalar to the vector case. |
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| Keywords: | Trigonometric functional equation Naimark-type theorem |
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