Three-Term Recurrence Relations for Systems of Clifford Algebra-Valued Orthogonal Polynomials
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DOI: 10.1007/s00006-015-0596-z
Abstract: Recently, systems of Clifford algebra-valued orthogonal polynomials have been studied from different points of view. We prove in this paper that for their building blocks there exist some three-term recurrence relations, similar to that for… read more here.
Keywords: valued orthogonal; clifford; clifford algebra; orthogonal polynomials ... See more keywords
Clifford Algebra-Valued Segal–Bargmann Transform and Taylor Isomorphism
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DOI: 10.1007/s00006-021-01171-2
Abstract: Classical Segal-Bargmann theory studies three Hilbert space unitary isomorphisms that describe the wave-particle duality and the configuration space-phase space. In this work, we generalized these concepts to Clifford algebra-valued functions. We establish the unitary isomorphisms… read more here.
Keywords: clifford algebra; segal bargmann; space; algebra valued ... See more keywords
Hardy spaces of Clifford algebra-valued monogenic functions in exterior domains and a higher dimensional version of Cauchy’s vanishing theorem
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DOI: 10.1080/17476933.2016.1250915
Abstract: We introduce and study Hardy spaces consisting of Clifford algebra-valued functions annihilated by perturbed Dirac operators in exterior uniformly rectifiable (UR) domains, and which radiate at infinity. In this context, we establish a higher dimensional… read more here.
Keywords: clifford algebra; version; hardy spaces; algebra valued ... See more keywords
Fixed points in C∗-algebra valued b-metric spaces endowed with a graph
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DOI: 10.1515/ms-2017-0131
Abstract: Abstract We discuss the existence and uniqueness of fixed points for a self-mapping defined on a C∗-algebra valued b-metric space endowed with a graph. Our results extend and supplement several recent results in the literature.… read more here.
Keywords: endowed graph; metric spaces; points algebra; fixed points ... See more keywords