Multipliers of temperate distributions

Jan Kučera; Carlos Bosch

Mathematica Bohemica (2005)

  • Volume: 130, Issue: 3, page 225-229
  • ISSN: 0862-7959

Abstract

top
Spaces 𝒪 q , q ∈ ℕ , of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.

How to cite

top

Kučera, Jan, and Bosch, Carlos. "Multipliers of temperate distributions." Mathematica Bohemica 130.3 (2005): 225-229. <http://eudml.org/doc/249597>.

@article{Kučera2005,
abstract = {Spaces $\mathcal \{O\}_q$, $q \in \mathbb \{N\}$, of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.},
author = {Kučera, Jan, Bosch, Carlos},
journal = {Mathematica Bohemica},
keywords = {temperate distribution; multiplication operator; inductive limit of locally convex spaces; projective limit of locally convex spaces; generalized derivative; Sobolev derivative; multiplication operator; inductive limit of locally convex spaces; projective limit of locally convex spaces; generalized derivative; Sobolev derivative},
language = {eng},
number = {3},
pages = {225-229},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multipliers of temperate distributions},
url = {http://eudml.org/doc/249597},
volume = {130},
year = {2005},
}

TY - JOUR
AU - Kučera, Jan
AU - Bosch, Carlos
TI - Multipliers of temperate distributions
JO - Mathematica Bohemica
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 130
IS - 3
SP - 225
EP - 229
AB - Spaces $\mathcal {O}_q$, $q \in \mathbb {N}$, of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.
LA - eng
KW - temperate distribution; multiplication operator; inductive limit of locally convex spaces; projective limit of locally convex spaces; generalized derivative; Sobolev derivative; multiplication operator; inductive limit of locally convex spaces; projective limit of locally convex spaces; generalized derivative; Sobolev derivative
UR - http://eudml.org/doc/249597
ER -

References

top
  1. Théorie des Distributions, Hermann, Paris, 1966. (1966) Zbl0149.09501MR0209834
  2. Topological Vector Spaces and Distributions, Vol. 1, Addison-Wisley, Reading, 1966. (1966) 
  3. Fourier L 2 -transform of distributions, Czechoslovak Math. J. 19 (1969), 143–153. (1969) MR0240616
  4. On multipliers of temperate distributions, Czechoslovak Math. J. 21 (1971), 610–618. (1971) MR0293391
  5. 10.1512/iumj.1975.24.24061, Indiana Univ. Math. 24 (1975), 773–775. (1975) MR0358344DOI10.1512/iumj.1975.24.24061
  6. 10.1016/0022-247X(76)90049-4, J. Math. Anal. Appl. 56 (1976), 368–372. (1976) MR0417778DOI10.1016/0022-247X(76)90049-4

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.