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
Projective representations of spaces of quasianalytic functionals
The weighted inductive limit of Fréchet spaces of entire functions in N variables which is obtained as the Fourier-Laplace transform of the space of analytic functionals on an open convex subset of can be described algebraically as the intersection of a family of weighted Banach spaces of entire functions. The corresponding result for the spaces of quasianalytic functionals is also derived.
Prolongement méromorphe de , et division des distributions, d’après I. N. Bernstein
Propagation des singularités analytiques pour les solutions des équations aux dérivées partielles
Propagation of Holomorphic Extendability of CR Functions.
Propagation of Singularities and Related Problems of Solidification