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Full Description
This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022. This workshop was funded by the Istituto Nazionale di Alta Matematica (INdAM) and took place at the institute's Rome headquarters. The research topics addressed during the workshop encompass areas such as complex analysis, Fourier analysis, and operator theory, with significant connections to complex geometry, the spectral theory of canonical systems, applications to frame theory, and thus, signal theory.
Contents
Some Current Directions in Complex Analysis.- Cyclicity and Iterated Logarithms in the Drury-Arveson Space.- A Survey on Invariant Spaces of Holomorphic Functions on Symmetric Domains.- A Note on a Stochastic Approach to Caffarelli-Silvestre Theorem.- Metaplectic Wigner Distributions.- Heat Kernel and Riesz Laplacian on Homogeneous Trees.- H1 and BMO Spaces for Exponentially Decreasing Measures on Homogeneous Trees.- The Central Limit Theorem for inner functions II.



