Topic
Holomorphic functional calculus
About: Holomorphic functional calculus is a research topic. Over the lifetime, 1120 publications have been published within this topic receiving 23005 citations.
Papers published on a yearly basis
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Papers
Book•
1 Jan 1948
TL;DR: The theory of semi-groups has been studied extensively in the literature, see as discussed by the authors for a survey of some of the main applications of semi groups in the context of functional analysis.
Abstract: Part One. Functional Analysis: Abstract spaces Linear transformations Vector-valued functions Banach algebras General properties Analysis in a Banach algebra Laplace integrals and binomial series Part Two. Basic Properties of Semi-Groups: Subadditive functions Semi-modules Addition theorem in a Banach algebra Semi-groups in the strong topology Generator and resolvent Generation of semi-groups Part Three. Advanced Analytical Theory of Semi-Groups: Perturbation theory Adjoint theory Operational calculus Spectral theory Holomorphic semi-groups Applications to ergodic theory Part Four. Special Semi-groups and Applications: Translations and powers Trigonometric semi-groups Semi-groups in $L_p(-\infty,\infty)$ Semi-groups in Hilbert space Miscellaneous applications Part Five. Extensions of the theory: Notes on Banach algebras Lie semi-groups Functions on vectors to vectors Bibliography Index.
4,193 citations
Book•
30 Jul 1999
TL;DR: Holomorphic Mappings between Locally Convex Spaces Holomorphic Functions Holomorphic Extensions Holomorphic extensions as mentioned in this paper have been proposed for duality theory for polynomials in the context of Riemann Domains.
Abstract: Polynomials * Duality Theory for Polynomials * Holomorphic Mappings Between Locally Convex Spaces * Decompositions of Holomorphic Functions * Riemann Domains * Holomorphic Extensions.
979 citations
596 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 3 |
| 2024 | 3 |
| 2023 | 7 |
| 2022 | 23 |
| 2021 | 7 |
| 2020 | 11 |