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Mellin Transforms o...
Mellin Transforms of Multivariate Rational Functions
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- Nilsson, Lisa, 1979 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Passare, Mikael (författare)
- Stockholms universitet,Matematiska institutionen
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(creator_code:org_t)
- 2011-05-13
- 2013
- Engelska.
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Ingår i: Journal of Geometric Analysis. - : Springer Science and Business Media LLC. - 1050-6926 .- 1559-002X. ; 23:1, s. 24-46
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Abstract
Ämnesord
Stäng
- This paper deals with Mellin transforms of rational functions g/f in several variables. We prove that the polar set of such a Mellin transform consists of finitely many families of parallel hyperplanes, with all planes in each such family being integral translates of a specific facial hyperplane of the Newton polytope of the denominator f. The Mellin transform is naturally related to the so-called coamoeba , where Z (f) is the zero locus of f and Arg denotes the mapping that takes each coordinate to its argument. In fact, each connected component of the complement of the coamoeba gives rise to a different Mellin transform. The dependence of the Mellin transform on the coefficients of f, and the relation to the theory of A-hypergeometric functions is also discussed in the paper.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Mellin transform
- Coamoeba
- Hypergeometric function
- hypergeometric-functions
- Coamoeba
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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