2 papers
math.CV2018
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…
math.CV2018
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…