Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems
timetable:
Mon 3 Apr, 15:20 - 16:00, Aula Dini
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seminar: On bounded solutions to convolution equations
speaker: Enrico Priola (Dipartimento di Matematica, Universita' di Torino)abstract: Periodicity of bounded solutions for convolution equations on a separable abelian metric group $G$ (which in general is not locally compact) is established and related Liouville type theorems are obtained. A non-constant Borel and bounded harmonic function is constructed for an arbitrary convolution semigroup on any infinite dimensional separable Hilbert space, generalizing a classical result by V. Goodman. This is a joint work with J. Zabczyk.
timetable:
Mon 3 Apr, 15:20 - 16:00, Aula Dini
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