Advances in Complex Analysis and Its Applications in Operator Theory, Functional and Noncommutative Analysis
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".
Deadline for manuscript submissions: 31 January 2025 | Viewed by 57
Special Issue Editor
Interests: transformers in operator theory and matrix analysis; operator and norm inequalities; Bloch and weighted Lipschitz spaces; Bergman spaces in model theory for operators
Special Issue Information
Dear Colleagues,
Complex analysis is a very prosperous and inseparable part of mathematical analysis. Its traditional focus in on functions with one or several complex variables, especially those that are holomorphic in their domains. Cauchy and other representation formulas for holomorphic functions give rise to functional calculus with one or several operators (as variables), leading to the development of Cauchy–Dunford, Nagy–Foias, Taylor and spectral functional calculus.
Fourier and Laplace transforms are not just an important topic in mathematical analysis and other branches of mathematics and engineering, but also play a significant role in some Banach spaces of analytic functions, including, amongst others, Hardy, Bergman and Paley—Wiener spaces.
This Special Issue intends to present recent results and developments on the Banach spaces of complex and vector-valued functions, Fourier and Laplace transforms and transformers, and elementary and Birman–Solomyak transformers, which are given by double operator integrals on the ideals of compact operators, with applications in operator and norm inequalities. Also, works on the progress of functional calculus with several operators, model operators and model spaces, and its applications, will be welcomed in this Special Issue.
Prof. Dr. Danko R. Jocić
Guest Editor
Manuscript Submission Information
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