On the Jacobian of the harmonic moment map
Bj\"orn Gustafsson, Vladimir G. Tkachev
TL;DR
This paper introduces a novel approach to harmonic moments using transfinite functions and derives an explicit Jacobian formula for the harmonic moment map, advancing mathematical understanding of these complex structures.
Contribution
The paper presents a new representation of harmonic moments via transfinite functions and provides an explicit Jacobian formula for the generalized harmonic moment map.
Findings
Representation of harmonic moments using transfinite functions
Explicit formula for the Jacobian of the harmonic moment map
Enhanced mathematical framework for harmonic moments
Abstract
In this paper we represent harmonic moments in the language of transfinite functions, that is projective limits of polynomials in infinitely many variables. We obtain also an explicit formula for the Jacobian of a generalized harmonic moment map.
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