This chapter contains some important relations and exact formulae for integrals w.r.t. Gaussian measures and quasimeasures whose characteristic functional is an exponent of a (2p)-linear form. It considers formulae for infinitesimal change of measure, polynomials with Wick ordering and Feynman diagram method, both for measures and quasimeasures. Main relations for integrals w.r.t. Gaussian measures in some particular spaces are given in detail.

This chapter provides exact formulae and relations for integrals with respect to Gaussian measures and quasimeasures, considering infinitesimal change of measure, Wick polynomials, and Feynman diagram method.

Integrals with Respect to Gaussian Measures and Some Quasimeasures: Exact Formulae, Wick Polynomials, Diagrams

Key Takeaway: This chapter provides exact formulae and relations for integrals with respect to Gaussian measures and quasimeasures, considering infinitesimal change of measure, Wick polynomials, and Feynman diagram method.