Noncommutative analysis, operator theory and applications

"This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications."

Pimsner Algebras and Noncommutative Circle Bundles / F. Arici, F. D'Andrea and G. Landi -- A Fractional Dirac Operator / S. Bernstein -- On the Sylvester Rquation over Quaternions / V. Bolotnikov -- The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Operators / J. Bourgain and D.-V. Voiculescu -- Clifford-Hermite Polynomials in Fractional Clifford Analysis / P. Cerejeiras and N. Vieira -- Negative Definite Functions on Groups with Polynomial Growth / F. Cipriani and J.-L. Sauvageot -- An Introduction to Superoscillatory Sequences / F. Colombo, I. Sabadini and D.C. Struppa -- Restriction and Factorization for Isometric and Symmetric Operators in Almost Pontryagin Spaces / H.S.V. de Snoo and H. Woracek -- Measurements vs Interactions: Tracks in a Wilson Cloud Chamber / G. Dell'Antonio -- The Radii Problems for Holomorphic Mappings in J*-algebras / M. Elin and D. Shoikhet -- Lévy Processes on Quantum Permutation Groups / U. Franz, A. Kula and A. Skalski -- New Results on Old Spectral Triples for Fractals / D. Guido and T. Isola -- Why Are Orlicz Spaces Useful for Statistical Physics? / A. Majewski and L.E. Labuschagne.