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 spacethis self contained monograph presents for the first time a systematic introduction to operator theory on fock space by means of white noise calculus. Buy white noise calculus and fock space lecture notes in mathematics on amazoncom free shipping on qualified orders. 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 spacethis self contained monograph presents for the first time a systematic introduction to operator theory on fock space by means of white noise calculus. Prerequisites white noise space white noise functionals operator theory toward harmonic analysis addendum series title lecture notes in mathematics springer verlag 1577 other titles fock space responsibility nobuaki obata. White noise space 3 white noise functionals 4 operator theory 5 toward harmonic analysis 6 addendum app a polarization formula app b hermite polynomials app c norm estimates of contractions series title lecture notes in mathematics springer verlag 1577 other titles fock space responsibility nobuaki obata