Operator Algebras, Toeplitz Operators and Related Topics

Front Matter ....Pages i-xi
Front Matter ....Pages 1-1
 The Life and Work of Nikolai Vasilevski  (Sergei Grudsky, Yuri Latushkin, Michael Shapiro)....Pages 3-8
 Principal Publications of Nikolai Vasilevski  (Sergei Grudsky, Yuri Latushkin, Michael Shapiro)....Pages 9-16
 Ph. D. Dissertations Directed by Nikolai Vasilevski  (Sergei Grudsky, Yuri Latushkin, Michael Shapiro)....Pages 17-17
 The Mathematician Nikolai Vasilevski  (Wolfram Bauer)....Pages 19-20
 The Mathematics of Nikolai Vasilevski  (Raúl Quiroga-Barranco)....Pages 21-23
 Nikolai’s Spaces  (Grigori Rozenblum)....Pages 25-26
Front Matter ....Pages 27-27
 Non-geodesic Spherical Funk Transforms with One and Two Centers  (M. Agranovsky, B. Rubin)....Pages 29-52
 Berger-Coburn Theorem, Localized Operators, and the Toeplitz Algebra  (Wolfram Bauer, Robert Fulsche)....Pages 53-77
 Toeplitz Operators on the Domain \(\{Z\in M_{2\times 2}(\mathbb {C}) \mid Z Z^* < I\}\) with \(\mathrm {U}(2)\times \mathbb {T}^2\)-Invariant Symbols  (Matthew Dawson, Gestur Ólafsson, Raul Quiroga-Barranco)....Pages 79-101
 Separately Radial Fock-Carleson Type Measures for Derivatives of Order k  (Kevin Esmeral)....Pages 103-126
 Toeplitz Operators with \(\mathbb {T}_q^m\)-Invariant Symbols on Some Weakly Pseudoconvex Domains  (Hernández-Marroquín Mauricio, Dupont-García LuisAlfredo, Sánchez-Nungaray Armando)....Pages 127-143
 The Twofold Ellis-Gohberg Inverse Problem for Rational Matrix Functions on the Real Line  (S. ter Horst, M. A. Kaashoek, F. van Schagen)....Pages 145-173
 Fractional Integrodifferentiation and Toeplitz Operators with Vertical Symbols  (Alexey Karapetyants, Issam Louhichi)....Pages 175-187
 Toeplitz Operators with Radial Symbols on Weighted Holomorphic Orlicz Space  (Alexey Karapetyants, Jari Taskinen)....Pages 189-204
 Algebras of Singular Integral Operators with PQC Coefficients on Weighted Lebesgue Spaces  (Yu. I. Karlovich)....Pages 205-231
 Twisted Dirac Operator on Quantum SU(2) in Disc Coordinates  (Ulrich Krähmer, Elmar Wagner)....Pages 233-253
 Toeplitz Algebras on the Harmonic Fock Space  (Maribel Loaiza, Carmen Lozano, Jesús Macías-Durán)....Pages 255-276
 Radial Operators on Polyanalytic Bargmann–Segal–Fock Spaces  (Egor A. Maximenko, Ana María Tellería-Romero)....Pages 277-305
 Toeplitz C∗-Algebras on Boundary Orbits of Symmetric Domains  (Gadadhar Misra, Harald Upmeier)....Pages 307-341
 A Gaussian Analytic Function  (Carlos G. Pacheco)....Pages 343-349
 Dirac Operators on \( \mathbb {R}\) with General Point Interactions  (Vladimir Rabinovich)....Pages 351-381
 Algebra Generated by a Finite Number of Toeplitz Operators with Homogeneous Symbols Acting on the Poly-Bergman Spaces  (María del Rosario Ramírez-Mora, Josué Ramírez-Ortega, Miguel Antonio Morales-Ramos)....Pages 383-402
 Toeplitz Operators with Singular Symbols in Polyanalytic Bergman Spaces on the Half-Plane  (Grigori Rozenblum, Nikolai Vasilevski)....Pages 403-421
 Quantum Differentials and Function Spaces  (Armen Sergeev)....Pages 423-437
 Toeplitz Quantization of a Free ∗-Algebra  (Stephen Bruce Sontz)....Pages 439-449
 Making the Case for Pseudodifferential Arithmetic  (André Unterberger)....Pages 451-467