A noise of new type and its generalized functionals

• Autorzy: Takeyuki Hida
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to introduce a new noise denoted by P'(u). It has the space parameter u, being compared with the usual noise depending on the time t. We first explain why such a noise arises naturally. Then, we come to the analysis of functionals of this new noise. We shall emphasize the significance of generalized functionals of P'(u), in particular, linear and quadratic.

Kategorie tematyczne

• 60H40: White noise theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 96
• Numer: 1
• Strony: 207-214

Daty

wydano

2011

Twórcy

autor

Takeyuki Hida

• Professor Emeritus, Nagoya University

Identyfikatory

DOI

10.4064/bc96-0-13