Rational hyperholomorphic functions in (\mathbb R^4)

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dc.creatorAlpay, D.
dc.creatorShapiro, M.
dc.creatorVolok, D.
dc.date2003-12-30
dc.date.accessioned2026-07-07T06:33:20Z
dc.date.available2026-07-07T06:33:20Z
dc.descriptionWe introduce the notion of rationality for hyperholomorphic functions (functions in the kernel of the Cauchy-Fueter operator). Following the case of one complex variable, we give three equivalent definitions: the first in terms of Cauchy-Kovalevskaya quotients of polynomials, the second in terms of realizations and the third in terms of backward-shift invariance. Also introduced and studied are the counterparts of the Arveson space and Blaschke factors.
dc.identifierhttps://arxiv.org/abs/math/0312504
dc.identifierhttp://arxiv.org/abs/math/0312504
dc.identifierJournal of Functional Analysis, vol. 221 (2005): 122-149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99158
dc.subjectFunctional Analysis
dc.subjectComplex Variables
dc.subject30G35; 47A48
dc.titleRational hyperholomorphic functions in (\mathbb R^4)
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