Advances in Complex Analysis and Operator Theory

Illustrates recent developments in several directions of (hyper)complex analysis, operator theory, and infinite dimensional analysis

Presents new perspectives and current trends for researchers interested in the aforementioned topics

Contains contributions written by leading experts

Inhalt
Classes of de Branges matrices and corresponding de Branges spaces.- Divided differences and two-sided polynomial interpolation over quaternions.- Fischer Decomposition in generalized fractional Clifford Analysis.- Free Products of C*-Probability Spaces from p-Adic Hecke Algebras.- An introduction to fractional powers of quaternionic operators and new fractional diffusion processes.- Finite-dimensional self-adjoint extensions of a symmetric operator with finite defect and their compressions.- On the structure of Hausdorff moment sequences of complex matrices.- On some extremal problems for analytic functions with constraints on real or imaginary parts.- A Burns-Krantz type theorem for pseudo-contractive mappings.- Spectral Convergence of Large Block-Hankel Gaussian Random Matrices.- Bernstein type Inequalities for Bicomplex Polynomials.- Finite unions of intervals, Part I.- Directing functionals and de Branges space completions in almost Pontryagin spaces. <p