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- aggregation classification "A1".
- aggregation creator B338186.
- aggregation creator B338187.
- aggregation creator person.
- aggregation date "2011".
- aggregation format "application/pdf".
- aggregation hasFormat 1938075.bibtex.
- aggregation hasFormat 1938075.csv.
- aggregation hasFormat 1938075.dc.
- aggregation hasFormat 1938075.didl.
- aggregation hasFormat 1938075.doc.
- aggregation hasFormat 1938075.json.
- aggregation hasFormat 1938075.mets.
- aggregation hasFormat 1938075.mods.
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- aggregation hasFormat 1938075.txt.
- aggregation hasFormat 1938075.xls.
- aggregation hasFormat 1938075.yaml.
- aggregation isPartOf urn:issn:1534-0392.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "The inverse Fueter mapping theorem".
- aggregation abstract "In a recent paper the authors have shown how to give an integral representation of the Fueter mapping theorem using the Cauchy formula for slice monogenic functions. Specifically, given a slice monogenic function f of the form f = alpha + (omega) under bar beta (where alpha, beta satisfy the Cauchy-Riemann equations) we represent in integral form the axially monogenic function f = A + (omega) under barB (where A, B satisfy the Vekua's system) given by f(x) = Delta n-1/2 f (x) where Delta is the Laplace operator in dimension n + 1. In this paper we solve the inverse problem: given an axially monogenic function f determine a slice monogenic function f (called Fueter's primitive of f) such that f = Delta n-1/2 f (x). We prove an integral representation theorem for f in terms of f which we call the inverse Fueter mapping theorem (in integral form). Such a result is obtained also for regular functions of a quaternionic variable of axial type. The solution f of the equation Delta n-1/2 f(x) = f(x) in the Clifford analysis setting, i.e. the inversion of the classical Fueter mapping theorem, is new in the literature and has some consequences that are now under investigation.".
- aggregation authorList BK635263.
- aggregation endPage "1181".
- aggregation issue "4".
- aggregation startPage "1165".
- aggregation volume "10".
- aggregation aggregates 1938076.
- aggregation isDescribedBy 1938075.
- aggregation similarTo cpaa.2011.10.1165.
- aggregation similarTo LU-1938075.