From September 1970 through May 1971 Tulane University organized a special year long program in the theory of non-commutative rings and operator algebras. Visitors from various institutions of the U.S.A. and abroad contributed series of lectures in which they covered recent advances in their own field of specialty. These notes contain these lectures to the extent that they have not appeared elsewhere. In Volume II we collected contributions to the analysis section of the program with lectures on operator algebras and applications to the theory of operators on Hilbert space and to harmonic analysis.
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