A proof of the Ehrenpreis-Martineau theorem using the Bochner-Martinelli kernel

• Autorzy: Hatziafratis T.
• Języki publikacji: EN

Abstrakty

EN

We give an elementary proof of a version of the Ehrenpreis-Martineau theorem, which describes the entire holomorphic functions of exponential type as combinations of exponential functions. The proof uses the Bochner-Martinelli kernel and appropriate derivatives of it.

Słowa kluczowe

EN

Ehrenpreis-Martineau theorem; holomorphic functions; Bochner-Martinelli kernel

PL

funkcje holomorficzne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 1
• Strony: 93--97
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Hatziafratis T.

• University of Athens, Department of Mathematics, Panepistemiopolis, 15784 Athens, Greece

Bibliografia

• [1] T. Hatziafratis, On a class of ∂-equations without solutions, Comment. Math. Univ. Carolina« 39, 3 (1998), 503-509.
• [2] T. Hatziafratis, Note on the Fourier-Laplace transform of ∂-cohomology classes, Z. Anal. Anwendungen 17 (1998), 907-915.
• [3] L. Hörmander, An Introduction to Complex Analysis in Several Variables, North-Holland, Amsterdam, 1990.
• [4] A. Kytmanov, The Bochner-Martinelli Integral and its Applications, Birkhauser, Basil, 1995.