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Spaces of D-paraanalytic elements

Seria
Rozprawy Matematyczne tom/nr w serii: 302 wydano: 1989-12-27
Zawartość
Warianty tytułu
Abstrakty
EN
Let X be a linear space. Consider a linear equation
(*) P(D)x = y, where y ∈ E ⊂ X,
with a right invertible operator D ∈ L(X) and, in general, operator coefficients. The main purpose of this paper is to characterize those subspaces E ⊂ X for which all solutions of (*) belong to E (provided that they exist). This leads, even in the classical case of ordinary differential equations with scalar coefficients, to a new class of $C^∞$-functions, which properly contains the classes of analytic functions of a real variable and of functions vanishing together with all derivatives at a point.
EN

CONTENTS
Introduction..............................................................................5
1. Preliminaries........................................................................5
2. Spaces of smooth elements.................................................8
3. Spaces of D-analytic elements...........................................21
4. Spaces of D-paraanalytic elements....................................32
5. Characterization of .D-paraanalytic elements by means of property (c) and canonical mappings.............39
6. D-R paraanalytic functions .................................................47
7. Smooth elements in Leibniz D-algebras..............................59
8. Weak E-solutions................................................................63
9. Linear systems with scalar coefficients...............................79
10. Linear boundary value problems .....................................82
References.............................................................................97
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne tom/nr w serii: 302
Liczba stron
99
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCCII
Daty
wydano
1989-12-27
otrzymano
1988-08-18
Twórcy
  • Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
Bibliografia
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Języki publikacji
EN
Uwagi
1985 Mathematics Subject Classification: 47B99, 47E05, 26E20
Identyfikator YADDA
bwmeta1.element.zamlynska-5a511669-2f9c-4539-8b66-fda9c0b6b613
Identyfikatory
ISBN
83-85116-01-X
ISSN
0012-3862
Kolekcja
DML-PL
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