Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives

• Autorzy: Paweł Domański
• Języki publikacji: EN

Abstrakty

EN

This paper is an extended version of an invited talk presented during the Orlicz Centenary Conference (Poznań, 2003). It contains a brief survey of applications to classical problems of analysis of the theory of the so-called PLS-spaces (in particular, spaces of distributions and real analytic functions). Sequential representations of the spaces and the theory of the functor Proj¹ are applied to questions like solvability of linear partial differential equations, existence of a solution depending linearly and continuously on the right hand side of the equation and existence of a solution depending analytically on parameters.

Kategorie tematyczne

• 45E10: Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
• 35E20: General theory
• 46M18: Homological methods (exact sequences, right inverses, lifting, etc.)
• 46A13: Spaces defined by inductive or projective limits (LB, LF, etc.)
• 46A03: General theory of locally convex spaces
• 46A11: Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46F05: Topological linear spaces of test functions, distributions and ultradistributions
• 26E10: C ∞ -functions, quasi-analytic functions
• 35N05: Overdetermined systems with constant coefficients

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 64
• Numer: 1
• Strony: 51-70

Daty

wydano

2004

Twórcy

autor

Paweł Domański

• Faculty of Mathematics and Computer Science, A. Mickiewicz University Poznań
• Institute of Mathematics, Polish Academy of Sciences, Poznań branch, Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/bc64-0-5