In this paper, the authors study matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. The

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of anal

The author introduces and studies the bounded word problem and the precise word problem for groups given by means of generators and defining relations. For exam

Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geom

First, there are sets with minimal weak truth table degree which bound noncomputable computably enumerable sets under Turing reducibility. Second, no set with c