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

Banach Center Publications (2004)

- Volume: 64, Issue: 1, page 51-70
- ISSN: 0137-6934

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topPaweł Domański. "Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives." Banach Center Publications 64.1 (2004): 51-70. <http://eudml.org/doc/281730>.

@article{PawełDomański2004,

abstract = {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.},

author = {Paweł Domański},

journal = {Banach Center Publications},

keywords = {space of real analytic functions; space of distributions; ultradifferentiable functions; ultradistributions; linear partial differential operators; solvability; linear continuous right inverse; analytic dependence on parameters; Proj functor; sequential representation; PLS-spaces; locally convex spaces},

language = {eng},

number = {1},

pages = {51-70},

title = {Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives},

url = {http://eudml.org/doc/281730},

volume = {64},

year = {2004},

}

TY - JOUR

AU - Paweł Domański

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

JO - Banach Center Publications

PY - 2004

VL - 64

IS - 1

SP - 51

EP - 70

AB - 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.

LA - eng

KW - space of real analytic functions; space of distributions; ultradifferentiable functions; ultradistributions; linear partial differential operators; solvability; linear continuous right inverse; analytic dependence on parameters; Proj functor; sequential representation; PLS-spaces; locally convex spaces

UR - http://eudml.org/doc/281730

ER -

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