Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only

Rüdiger W. Braun; Reinhold Meise; B. A. Taylor

Annales Polonici Mathematici (2006)

  • Volume: 88, Issue: 1, page 83-95
  • ISSN: 0066-2216

Abstract

top
For algebraic surfaces, several global Phragmén-Lindelöf conditions are characterized in terms of conditions on their limit varieties. This shows that the hyperbolicity conditions that appeared in earlier geometric characterizations are redundant. The result is applied to the problem of existence of a continuous linear right inverse for constant coefficient partial differential operators in three variables in Beurling classes of ultradifferentiable functions.

How to cite

top

Rüdiger W. Braun, Reinhold Meise, and B. A. Taylor. "Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only." Annales Polonici Mathematici 88.1 (2006): 83-95. <http://eudml.org/doc/281074>.

@article{RüdigerW2006,
abstract = {For algebraic surfaces, several global Phragmén-Lindelöf conditions are characterized in terms of conditions on their limit varieties. This shows that the hyperbolicity conditions that appeared in earlier geometric characterizations are redundant. The result is applied to the problem of existence of a continuous linear right inverse for constant coefficient partial differential operators in three variables in Beurling classes of ultradifferentiable functions.},
author = {Rüdiger W. Braun, Reinhold Meise, B. A. Taylor},
journal = {Annales Polonici Mathematici},
keywords = {continuous linear right inverse; hyperbolicity in conoids; ultradifferentiable function},
language = {eng},
number = {1},
pages = {83-95},
title = {Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only},
url = {http://eudml.org/doc/281074},
volume = {88},
year = {2006},
}

TY - JOUR
AU - Rüdiger W. Braun
AU - Reinhold Meise
AU - B. A. Taylor
TI - Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 1
SP - 83
EP - 95
AB - For algebraic surfaces, several global Phragmén-Lindelöf conditions are characterized in terms of conditions on their limit varieties. This shows that the hyperbolicity conditions that appeared in earlier geometric characterizations are redundant. The result is applied to the problem of existence of a continuous linear right inverse for constant coefficient partial differential operators in three variables in Beurling classes of ultradifferentiable functions.
LA - eng
KW - continuous linear right inverse; hyperbolicity in conoids; ultradifferentiable function
UR - http://eudml.org/doc/281074
ER -

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.