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4 papers
Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions
Florian-Horia Vasilescu
The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras. U…
Spectrum and Analytic Functional Calculus in Real and Quaternionic Frameworks
Florian-Horia Vasilescu
We present an approach to the spectrum and analytic functional calculus for quaternionic linear operators, following the corresponding results concerning the real linear operators.…
Quaternionic Regularity via Analytic Functional Calculus
Florian-Horia Vasilescu
Denoting by the complexification of the quaternionic algebra , we characterize the family of those -valued functions, defined on subsets of $\H…
Analytic Functional Calculus in Quaternionic Framework
Florian-Horia Vasilescu
Regarding quaternions as normal matrices, we first characterize the matrix-valued functions, defined on subsets of quaternions, whose values are quaternions. Then we in…