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A Generalized Moment Problem for Rapidly Decreasing Smooth Vector Functions of Several Variables

✍ Scribed by F. Galindo; F. López; J. Sanz

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
101 KB
Volume
263
Category
Article
ISSN
0022-247X

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✦ Synopsis

Generalized moments may be defined for functions of several variables. A theorem is proved characterizing the families of functions which are generalized moments of a smooth rapidly decreasing function.

📜 SIMILAR VOLUMES

Generalization of a Theorem of Bohr for
Generalization of a Theorem of Bohr for Bases in Spaces of Holomorphic Functions of Several Complex Variables
✍ Lev Aizenberg; Aydin Aytuna; Plamen Djakov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 137 KB

In the first part, we generalize the classical result of Bohr by proving that an m Ž analogous phenomenon occurs whenever D is an open domain in ‫ރ‬ or, more . Ž . ϱ generally, a complex manifold and is a basis in the space of holomorphic n ns0 Ž . Ž . functions H D such that s 1 and z s 0, n G 1,