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Theory of the hyperbolic B-potentials

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FD2W01 - Deterministic and stochastic fractional diļ¬€erential equations and jump processes

In the talk the theory of fractional powers of hyperbolic operators, with Bessel operators instead of all or some second derivatives will be presented. Such operators are called hyperbolic B-potentials. First, we give definitions of the hyperbolic B-potentials and prove its absolute convergence and boundedness. Next used the idea of approximative inverse operators we construct an inverse to hyperbolic B-potential operator. Also mixed hyperbolic Riesz B—potential and its inversion will be considered.

This talk is part of the Isaac Newton Institute Seminar Series series.

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