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- The Feynman integrand for the perturbed harmonic oscillator as a Hida distributionPublication . Cunha, Mário; Drumond, Custódia; Leukert, Peter; Silva, José Luís; Westerkamp, WernerWe rwiew some basic notions and results of White Noise Analysis that are used in the con struction of the Feynman integrand as a generalized White Noise functional. We show that the Feyn man integrand for the harmonic oscillator in an external potential is a Hida distri
- Intersection local times of fractional Brownian motions with with H ∈ (0,1) as generalized white noise functionalsPublication . Drumond, Custódia; Oliveira, Maria João; Silva, José Luís daIn Rd, for any dimension d ≥ 1, expansions of self-intersection local times of fractional Brownian motions with arbitrary Hurst coefficients in (0,1) are presented. The expansions are in terms of Wick powers of white noises (corresponding to multiple Wiener integrals), being well defined in the sense of generalized white noise functionals.