Springer International Publishing AG, 2017. — 398 p. — (Trends in Mathematics) — ISBN: 978-3-319-62361-0.
Daniel Alpay graduated in 1986 from the Weizmann Institute of Science with the Ph.D. thesis: “Reproducing kernel Krein spaces of analytic functions and inverse scattering” under the supervision of Prof. Harry Dym. After graduating, he occupied positions at the University of Tel Aviv, at the University of Groningen, at the Virginia Polytechnic Institute in Blacksburg, at the Weizmann Institute of Science in Rehovot, and at INRIA in Valbonne. In 1991 he moved to Ben Gurion University in Beer-Sheva, Israel, where he joined the Department of Mathematics. There he became a tenured member in 1995, and his mathematical career took off from there; later, in December 2005, Daniel was awarded the Earl Katz family chair in algebraic system theory. In August 2016 Daniel was offered the Foster G. and Mary McGaw Professorship in Mathematical Sciences at Chapman University where he was received with open arms.
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