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

Paweł 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 -