Weighted (PLB)-spaces of ultradifferentiable functions and multiplier spaces

A simple proof of Kotake–Narasimhan theorem in some classes of ultradifferentiable functions

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-016-0163-y ◽

2016 ◽

Vol 8 (2) ◽

pp. 297-317 ◽

Cited By ~ 4

Author(s):

Chiara Boiti ◽

David Jornet

Keyword(s):

Simple Proof ◽

Ultradifferentiable Functions

About spaces of $\omega_1$-$\omega_2$-ultradifferentiable functions

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1225893945 ◽

2008 ◽

Vol 15 (4) ◽

pp. 645-662

Author(s):

Jean Schmets ◽

Manuel Valdivia

Keyword(s):

Ultradifferentiable Functions

Sequence space representations for zero-solutions of convolution equations on ultradifferentiable functions of Roumieu type

Studia Mathematica ◽

10.4064/sm-92-3-211-230 ◽

1989 ◽

Vol 92 (3) ◽

pp. 211-230 ◽

Cited By ~ 7

Author(s):

Reinhold Meise

Keyword(s):

Sequence Space ◽

Ultradifferentiable Functions ◽

Convolution Equations

Representation of solutions of convolution equations in nonquasianalytic beurling classes of ultradifferentiable functions of mean type

Russian Mathematics ◽

10.3103/s1066369x11060016 ◽

2011 ◽

Vol 55 (6) ◽

pp. 1-8

Author(s):

D. A. Abanina

Keyword(s):

Ultradifferentiable Functions ◽

Representation Of Solutions ◽

Convolution Equations

Linear topological properties of spaces ℋ^{𝜔} and of spaces of ultradifferentiable functions

Functional Analysis and Complex Analysis - Contemporary Mathematics ◽

10.1090/conm/481/09402 ◽

2009 ◽

pp. 145-158

Author(s):

Dietmar Vogt

Keyword(s):

Topological Properties ◽

Ultradifferentiable Functions

Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting

Banach Journal of Mathematical Analysis ◽

10.1007/s43037-020-00090-x ◽

2020 ◽

Vol 15 (1) ◽

Author(s):

Chiara Boiti ◽

David Jornet ◽

Alessandro Oliaro ◽

Gerhard Schindl

Keyword(s):

Hermite Functions ◽

Weighted Spaces ◽

Schauder Basis ◽

Weight Functions ◽

Ultradifferentiable Functions ◽

The Matrix ◽

General Conditions

AbstractWe prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine also the corresponding coefficient spaces, thus extending the previous work by Langenbruch. As a consequence, we give very general conditions for these spaces to be nuclear. In particular, we obtain the corresponding results for spaces defined by weight functions.

On weighted inductive limits of spaces of ultradifferentiable functions and their duals

Mathematische Nachrichten ◽

10.1002/mana.201700395 ◽

2018 ◽

Vol 292 (3) ◽

pp. 573-602 ◽

Cited By ~ 8

Author(s):

Andreas Debrouwere ◽

Jasson Vindas

Keyword(s):

Inductive Limits ◽

Ultradifferentiable Functions ◽

Weighted Inductive Limits

Weight functions for classes of ultradifferentiable functions

Results in Mathematics ◽

10.1007/bf03323140 ◽

1994 ◽

Vol 25 (1-2) ◽

pp. 50-53 ◽

Cited By ~ 2

Author(s):

Uwe Franken

Keyword(s):

Weight Functions ◽

Ultradifferentiable Functions

Ultradifferentiable Functions on Compact Intervals

Mathematische Nachrichten ◽

10.1002/mana.19891400111 ◽

1989 ◽

Vol 140 (1) ◽

pp. 109-126 ◽

Cited By ~ 8

Author(s):

Michael Langenbruch

Keyword(s):

Ultradifferentiable Functions

Division by Flat Ultradifferentiable Functions and Sectorial Extensions

Results in Mathematics ◽

10.1007/bf03322923 ◽

2003 ◽

Vol 44 (1-2) ◽

pp. 169-188 ◽

Cited By ~ 22

Author(s):

Vincent Thilliez

Keyword(s):

Ultradifferentiable Functions