This book originates from the International Workshop on Operator Theory and its Applications (IWOTA) held in Canterbury, University of Kent, UK, in August 2024. It includes both original research articles and broad survey articles on current developments in the field. IWOTA is a major series of annual workshops in mathematical analysis which covers operator-theoretic aspects of topics such as complex analysis, harmonic analysis, linear algebra, random matrix theory, mathematical physics, and their applications, such as control theory, signal processing and AI.

Inhalt

Long- and Short-Time Behavior of Hypocoercive Evolution Equations via Modal Decompositions.- A quick guide to ordinary state-dependent delay differential equations.- Turing meets Moore-Penrose: Computing the Pseudoinverse on Turing Machines.- Bicomplex Cauchy's Theorem: several versions.- Some Open Problems from IWOTA 2024 Presented at the Special Session on Orthogonal Polynomials and Special Functions.- Automatic time continuity of positive matrix and operator semigroups.- Spectra and semigroups of linear differential operators with periodic coefficients.- Composition of outer functions.- Critical points of the 4×4 unistochastic map.- Tauberian Theorems for Sequences and the KatznelsonTzafriri Theorem.- Lie theory of the slice Riemannian geometry on the quaternionic unit ball.- Toeplitz operators with invariant symbols under the action of some subgroups of 𝑆𝑛 T𝑛 on the Fock Space on C𝑛.- An estimate for 𝛽-Hermite ensembles via the zeros of Hermite polynomials.- A Note on Maximal Operators for Moment Curves.