Geodesic
Iterates of the Bochner--Martinelli Integral Operator in a~Ball
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 137-145

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In the present paper we prove the convergence of iterates of the integral Bochner–Martinelli operator in a ball in various spaces: the infinitely-smooth functions, the analytic functions and the spaces conjugate to them, the distributions and the analytic functionals. We give a description of a spectrum of this operator in these spaces as well as the space $\mathcal L^p$.
Keywords: Bochner–Martinelli integral operator, iterates. 
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Alexander M. Kytmanov; Simona G. Myslivets. Iterates of the Bochner--Martinelli Integral Operator in a~Ball. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 137-145. http://geodesic.mathdoc.fr/item/JSFU_2009_2_2_a1/