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Analytic Function Spaces and Operators Lab (Seiichiro Ueki)
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The lab studies spaces of analytic functions and the linear operators acting on them.
AboutAbout the lab
Studying spaces of analytic functions and the operators on them
Professor Seiichiro Ueki studies vector spaces formed by analytic (holomorphic) functions on complex domains, and the linear operators defined on those spaces.
By classifying analytic functions under various conditions, the lab considers function spaces with different topological properties.
The properties of each function space are investigated using function theory, functional analysis, Fourier analysis, and related fields.
In the Mathematical Sciences Educational Program (EP) of the Department of Mathematics, Physics, Electronics and Information Systems, the professor teaches Functional Analysis and Introduction to Mathematical Sciences.
Key terms
- Analytic (holomorphic) function
- A function of a complex variable that can be differentiated in the complex sense.
- Linear operator
- A rule that maps an element, such as a function, to another element while preserving addition and scalar multiplication.
- Topological properties
- Properties of a space based on the notions of nearness and convergence.
ResearchResearch themes
This lab studies spaces formed by analytic functions on complex domains, and the linear operators defined on those spaces. Analytic functions are classified by condition to define function spaces with different topological properties, and the properties of these spaces are investigated using function theory, functional analysis, Fourier analysis, and related fields.
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MembersFaculty
- ProfessorSeiichiro Ueki
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “TetrationComplexColor” AJRobbins at English Wikipedia / Public domain (cropped)
- Analytic Function Spaces and Linear Operators: “Mathematical analysis, Linear algebra, Mathematics lecture notes, Rostov-on-Don, Russia” Vyacheslav Argenberg / CC BY 4.0 (cropped)
- Related lab (Sekiguchi Lab (Spintronics Lab)): “Scanning tunneling microscope; Semiconductor; Spintronics ( )” National Institute of Standards and Technology / Public domain (cropped)
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