35
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Lerch's theorem for analytic functional with non-compact carrier and its applications to entire functions

Pages 303-318 | Published online: 29 May 2007

References

  • Ahlfors , R. l973 . Conformal Invariants, Topics in Geometric Function Theory , New York : McGraw-Hill .
  • Avanissian , V. and Gay , R. 1975 . Sur une transformation des fonctionelles analytiques et ses applications aux fonctions entières de plusieurs variables . Bull. Soc. Math. France , 103 : 341 – 384 .
  • Carleman , T. 1926 . Les Fonctions Quasi-Analytiques , Paris : Gauthier Villars .
  • Levin , B. Ja . 1956 . Distribution of Zeros of Entire Functions , Moscow : GITTL . English Translation, Amer. Math. Soc.
  • Morimoto , M . 1978 . Analytic functionals with non-compact carriers . Tokyo J. Math , : 72 – 103 .
  • Morimoto , M and Yoshino , K . 1978 . A uniqueness theorem for holomorphic functions of exponential type . Hokkaido Math. J. , 7 : 259 – 270 .
  • Morimoto , M and Yoshino , K . 1980 . Some examples of analytic functionals with carrier at the infinity . Proc. Japan Acad , 56 : 357 – 361 .
  • Reed , M and Simon , B . 1978 . Analysis of Operators , New York : Academic Press .
  • Yoshino , K. 1982 . Lerch's theorem for analytic functionals. . Proc. Japan Acad , 58 : 395 – 397 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.