Poisson kernels and pluriharmonic -functions on homogeneous Siegel domains.
Poisson kernels of drifted Laplace operators on trees and on the half-plane
Starting with the computation of the appropriate Poisson kernels, we review, complement, and compare results on drifted Laplace operators in two different contexts: homogeneous trees and the hyperbolic half-plane.
Poisson Summation of Kirillov Orbits.
Poissonmaße auf lokalkompakten Halbgruppen.
Polyhedral summability of multiple Fourier series (and explicit formulas for Dirichlet kernels on and on compact Lie groups)
We study polyhedral Dirichlet kernels on the n-dimensional torus and we write a fairly simple formula which extends the one-dimensional identity . We prove sharp results for the Lebesgue constants and for the pointwise boundedness of polyhedral Dirichlet kernels; we apply our results and methods to approximation theory, to more general summability methods and to Fourier series on compact Lie groups, where we write an asymptotic formula for the Dirichlet kernels.
Polynomially growing pluriharmonic functions on Siegel domains
Let 𝓓 be a symmetric type two Siegel domain over the cone of positive definite Hermitian matrices and let N(Φ)S be a solvable Lie group acting simply transitively on 𝓓. We characterize polynomially growing pluriharmonic functions on 𝓓 by means of three N(Φ)S-invariant second order elliptic degenerate operators.
Pompeiu Sets in Compact Heisenberg Manifolds.
Pompeiu's problem on symmetric spaces.
Positive Characters on Commutative Hypergroups and Some applications.
Positive Definite Functions on Abelian Semigroups.
Positive Definite Functions on the Heisenberg Group.
Positive Definite Kernels on the Complex Hilbert Sphere.
Positive operatorwertige Maβe und banachraumwertige stationäre Prozesse auf LCA-Gruppen
Positive product formulas and hypergroups associated with singular Sturm-Liouville problems on a compact interval
Positive Q-matrices of graphs
The Q-matrix of a connected graph = (V,E) is , where ∂(x,y) is the graph distance. Let q() be the range of q ∈ (-1,1) for which the Q-matrix is strictly positive. We obtain a sufficient condition for the equality q(̃) = q() where ̃ is an extension of a finite graph by joining a square. Some concrete examples are discussed.
Positive-definite functions on discrete commutative semigroups: Errata and supplements.
Positive-definite kernels, length functions on groups and a noncommutative von Neumann inequality
Positively finitely generated groups.
Potential operators in variable exponent Lebesgue spaces: two-weight estimates.
Power bounded restrictions of Fourier-Stieltjes transforms.