THE FEYNMAN INTEGRAND AS A HIDA DISTRIBUTION

DEFARIA M, POTTHOFF J, Streit L. THE FEYNMAN INTEGRAND AS A HIDA DISTRIBUTION. JOURNAL OF MATHEMATICAL PHYSICS. 1991;32(8):2123-2127.It is shown that Feynman integrals are weighted averages over Brownian paths, with suitable Hida distributions as (complex) weights. For simple cases, the construction of these distributions is performed explicitly, for a much larger class of interactions, their existence is shown