𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized Functionals in Gaussian Spaces: The Characterization Theorem Revisited

✍ Scribed by Yu.G. Kondratiev; P. Leukert; J. Potthoff; L. Streit; W. Westerkamp

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
759 KB
Volume
141
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

✦ Synopsis

In recent years there has been an increasing interest in white noise analysis, due to its rapid developments in mathematical structure and applications in various domains. Especially the circle of ideas going under the heading ``characterization theorems'' has played quite an important role in the past few years. These results [28,44,57], and their variations and refinements (see, e.g., [42,45,48,50,51,65,67,71], and references quoted there), provide a deep insight into the structure of spaces of smooth and generalized random variables over the white noise space or more generally Gaussian spaces. Also, they allow for rather straightforward article no. 0130

📜 SIMILAR VOLUMES

On the Characterization of the Intermedi
On the Characterization of the Intermediate Space in Generalized Factorizations
✍ L. P. Castro; F.-O. Speck 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 551 KB

The study of systems of singular integral equations of CAUCHY type, of TOEPLITZ and WIENER-HOPF operators leads to the question of existence and representation of generalized factorizations of matrix functions @ in [LP(r, @)I". This yields a corresponding factorization of the basic multiplication or

Existence Theorems of Solutions for Gene
Existence Theorems of Solutions for Generalized Quasi-variational Inequalities, a Minimax Theorem, and a Section Theorem in the Spaces without Linear Structure
✍ Xian Wu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 176 KB

In this paper, by using particular techniques, two existence theorems of solutions for generalized quasi-variational inequalities, a minimax theorem, and a section theorem in the spaces without linear structure are established; and finally, a new coincidence theorem in locally convex spaces is obtai

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,