We consider a symmetric minimal relation L₀ generated by an integral equation with operators measures. We describe the generalized resolvents of L₀ using the characteristic function M(λ) (λ ∈ ℂ), i.e.
The characteristic functions satisfying (2) below are proved to be essentially the semi-stable laws. Auxiliary simultaneous integral equations are studied in Theorems 1, 2, 2' and 3. The final form of ...
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