Paley-Wiener theorems for the Mellin transformation
Parameterabhängige nichtkommutative Distributionenalgebren
Periodic Boehmians.
Periodic Silva tempered ultradistributions
P-Functionale und Randwerte zu Hypoelliptischen Differentialoperatoren.
Plane wave decompositions of monogenic functions
Plane waves, biregular functions and hypercomplex Fourier analysis
Poincaré theorem and nonlinear PDE's
A family of formal solutions of some type of nonlinear partial differential equations is found. Terms of such solutions are Laplace transforms of some Laplace distributions. The series of these distributions are locally finite.
Pointwise Fourier inversion of distributions on spheres
Given a distribution on the sphere we define, in analogy to the work of Łojasiewicz, the value of at a point of the sphere and we show that if has the value at , then the Fourier-Laplace series of at is Abel-summable to .
Polya's theorem for non-entire functions
Polynomial ultradistributions: differentiation and Laplace transformation
We consider the multiplicative algebra P(𝒢₊') of continuous scalar polynomials on the space 𝒢₊' of Roumieu ultradistributions on [0,∞) as well as its strong dual P'(𝒢₊'). The algebra P(𝒢₊') is densely embedded into P'(𝒢₊') and the operation of multiplication possesses a unique extension to P'(𝒢₊'), that is, P'(𝒢₊') is also an algebra. The operation of differentiation on these algebras is investigated. The polynomially extended Laplace transformation and its connections with the differentiation...
Power Series Spaces and Weighted Solution Spaces of Partial Differential Equations.
Probabilités cylindriques et processus linéaires
Problèmes d'interpolation dans quelques espaces de fonctions non entières
Problèmes ergodiques dans la théorie quantique des champs
Prodistributions
Products of distributions.
Products of distributions that are entire functions of a complex parameter
Products of distributions with values in distributions.
Produits tensoriels topologiques multiples