3 papers
math.FA2025
Functional Calculi, Positivity, and Convolution of Matrices
Javad Mashreghi, Mostafa Nasri, Prateek Kumar Vishwakarma
Convolution admits a natural formulation as a functional operation on matrices. Motivated by the functional and entrywise calculi, this leads to a framework in which convolution de…
math.CV2025
Schauder Basis with Finite Blaschke Products
Emmanuel Fricain, Javad Mashreghi, Mostafa Nasri +1
We construct a Schauder basis for the space , the space of holomorphic functions on the closed unit disk, consisting entirely of finite Blaschke products. The expan…
math.FA2024
The Cesàro operator on local Dirichlet spaces
Eugenio Dellepiane, Javad Mashreghi, Mostafa Nasri +1
The family of Cesàro operators , and , consists of finite rank operators on Banach spaces of analytic functions on the open unit disc. In this work, w…