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The Octonionic Bergman Kernel for the Unit Ball

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By introducing a suitable new definition for the inner product of the octonionic Bergman space on the unit ball, we determine the explicit form of the octonionic Bergman kernel for… Click to show full abstract

By introducing a suitable new definition for the inner product of the octonionic Bergman space on the unit ball, we determine the explicit form of the octonionic Bergman kernel for the unit ball, in the framework of octonionic analysis which is non-commutative and non-associative.

Keywords: bergman kernel; octonionic bergman; kernel unit; unit ball

Journal Title: Advances in Applied Clifford Algebras
Year Published: 2018

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