Some remarks on the existence of a resolvent

Masanori Kishi

Annales de l'institut Fourier (1975)

  • Volume: 25, Issue: 3-4, page 345-352
  • ISSN: 0373-0956

Abstract

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Noting that a resolvent is associated with a convolution kernel x satisfying the domination principle if and only if x has the dominated convergence property, we give some remarks on the existence of a resolvent.

How to cite

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Kishi, Masanori. "Some remarks on the existence of a resolvent." Annales de l'institut Fourier 25.3-4 (1975): 345-352. <http://eudml.org/doc/74252>.

@article{Kishi1975,
abstract = {Noting that a resolvent is associated with a convolution kernel $x$ satisfying the domination principle if and only if $x$ has the dominated convergence property, we give some remarks on the existence of a resolvent.},
author = {Kishi, Masanori},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {3-4},
pages = {345-352},
publisher = {Association des Annales de l'Institut Fourier},
title = {Some remarks on the existence of a resolvent},
url = {http://eudml.org/doc/74252},
volume = {25},
year = {1975},
}

TY - JOUR
AU - Kishi, Masanori
TI - Some remarks on the existence of a resolvent
JO - Annales de l'institut Fourier
PY - 1975
PB - Association des Annales de l'Institut Fourier
VL - 25
IS - 3-4
SP - 345
EP - 352
AB - Noting that a resolvent is associated with a convolution kernel $x$ satisfying the domination principle if and only if $x$ has the dominated convergence property, we give some remarks on the existence of a resolvent.
LA - eng
UR - http://eudml.org/doc/74252
ER -

References

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  1. [1] G. CHOQUET et J. DENY, Aspects linéaires de la théorie du potential, Théorème de dualité et applications, C. R. Acad. Sc., Paris (1956), 764-767. Zbl0071.09903MR19,848f
  2. [2] J. DENY, Noyaux de convolution de Hunt et noyaux associés à une famille fondamentale, Ann. Inst. Fourier, 12 (1962), 643-667. Zbl0101.08302MR25 #3189
  3. [3] M. ITÔ, Sur le principe relatif de domination pour les noyaux de convolution, to appear. Zbl0335.31007
  4. [4] M. ITÔ, Sur le balayage relatif pour les noyaux de convolution, to appear. 
  5. [5] M. KISHI, Puissance fractionnaire d'un noyau positif dont le carré est encore un noyau, Nagoya Math. J., 44 (1971), 79-88. Zbl0229.31008MR46 #5658
  6. [6] M. KISHI, Positive idempotents on a locally compact abelian group, to appear. Zbl0326.43002
  7. [7] M. KISHI, Potential theory (in Japanese), Morikita, Tokyo, 1974. 

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