Ultradistributional boundary values of harmonic functions on the sphere
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DOI: 10.1016/j.jmaa.2017.08.035
Abstract: Abstract We present a theory of ultradistributional boundary values for harmonic functions defined on the Euclidean unit ball. We also give a characterization of ultradifferentiable functions and ultradistributions on the sphere in terms of their… read more here.
Keywords: harmonic functions; ultradistributional boundary; boundary values; functions sphere ... See more keywords
Values of harmonic weak Maass forms on Hecke orbits
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.04.074
Abstract: Let $q:=e^{2 \pi iz}$, where $z \in \mathbb{H}$. For an even integer $k$, let $f(z):=q^h\prod_{m=1}^{\infty}(1-q^m)^{c(m)}$ be a meromorphic modular form of weight $k$ on $\Gamma_0(N)$. For a positive integer $m$, let $T_m$ be the $m$th… read more here.
Keywords: values harmonic; harmonic weak; weak maass; maass forms ... See more keywords