White Noise Calculus and Fock Space
| Author/creator | Obata, Nobuaki Author |
| Format | Electronic |
| Publication Info | New York : Springer |
| Description | x, 190 p. ill |
| Supplemental Content | Full text available from SpringerLINK Lecture Notes in Mathematics |
| Supplemental Content | Full text available from Springer Books |
| Series | Lecture Notes in Mathematics Ser. 1577 |
| Summary | Annotation White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular,first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis , prior knowledge of white noise calculus is not required. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9783540484110 |
| ISBN | 3540484116 (E-Book) Active Record |
| Standard identifier# | 9783540484110 |
| Stock number | 10.1007/BFb0073952 00024965 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |