Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
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
Czasopismo
Rocznik
Tom
Numer
Strony
51-70
Opis fizyczny
Daty
wydano
2004
Twórcy
autor
- 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
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-bc64-0-5