4 citations · 4 across the 5 of their papers we have counts for
4 papers · 1 filter
Laplace measure transitions and ghosts for meromorphic functions
João Fontinha, Jorge Buescu, Jaouen Ramalho
We study the measure transition problem for bilateral Laplace transforms of meromorphic functions on vertical strips. Given a meromorphic function F admitting Laplace representatio…
Propagation of regularity and positive definiteness: a constructive approach
Jorge Buescu, António Paixão, Claudemir Oliveira
We show that, for positive definite kernels, if specific forms of regularity (continuity, Sn-differentiability or holomorphy) hold locally on the diagonal, then they must hold glob…
Positive-definiteness and integral representations for special functions
Jorge Buescu, António Paixão
We characterize a holomorphic positive definite function defined on a horizontal strip of the complex plane as the Fourier-Laplace transform of a unique exponentially finite me…
Integral identities derived from the complex Funk-Hecke formula
C. P. Oliveira, Jorge Buescu
In this paper we derive integral identities involving both the unit sphere and the unit disk or subsets thereof. In addition these identities lead to a prototype of the Funk-Hecke…