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Projective representations of spaces of quasianalytic functionals

José Bonet, Reinhold Meise, Sergeĭ N. Melikhov (2004)

Studia Mathematica

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 $ℝ^{N}$ 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 $f^{λ}$ , et division des distributions, d’après I. N. Bernstein

J. M. Kantor (1973/1974)

Séminaire Équations aux dérivées partielles (Polytechnique)

Propagation des singularités analytiques pour les solutions des équations aux dérivées partielles

J. M. Bony, P. Schapira (1973/1974)

Séminaire Équations aux dérivées partielles (Polytechnique)

Propagation of Holomorphic Extendability of CR Functions.

Francois Treves, Nicholas Hanges (1983)

Mathematische Annalen

Propagation of Singularities and Related Problems of Solidification

V. G. Danilov, G. A. Omel'yanov (1997)

Matematički Vesnik

Propriétés locales d'espaces de type Sobolev en dimension infinie

Bernard Lascar (1974/1975)

Séminaire Paul Krée

Protenseurs distributions

Paul Krée (1974/1975)

Séminaire Paul Krée

Pseudodifferential Operators

M. Nedeljkov, D. Perišić, S. Pilipović (1997)

Zbornik Radova

Pseudodifferential operators on non-quasianalytic classes of Beurling type

C. Fernández, A. Galbis, D. Jornet (2005)

Studia Mathematica

We introduce pseudodifferential operators (of infinite order) in the framework of non-quasianalytic classes of Beurling type. We prove that such an operator with (distributional) kernel in a given Beurling class $_{(ω)}^{'}$ is pseudo-local and can be locally decomposed, modulo a smoothing operator, as the composition of a pseudodifferential operator of finite order and an ultradifferential operator with constant coefficients in the sense of Komatsu, both operators with kernel in the same class $_{(ω)}^{'}$ . We also...

Pseudodifferential operators with generalized symbols and regularity theory.

Garetto, Claudia, Gramchev, Todor, Oberguggenberger, Michael (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Displaying 21 – 30 of 30

Currently displaying 21 – 30 of 30