Analysis

Analysis is the study of spaces and functions which have a notion of "distance" which allows limiting processes to be studied. Analysis at Leeds centres around functional analysis and harmonic analysis, both in the abstract theory, and in applications to mathematical physics and engineering.

The two principal seminars which the Analysis group attends are the Yorkshire Functional Analysis seminar and the North British Functional Analysis Seminar. We have recently started to run the Noncommutative geometry, Analysis, and Groups Seminar.

Members: Teaching staff

• Dr M. Daws (mdaws@maths.leeds)
• Dr V. V. Kisil (kisilv@maths.leeds)
• Professor J. R. Partington (j.r.partington@leeds)
• Professor C. J. Read (c.j.read@leeds)

Members: Non-teaching staff

• Professor H. G. Dales (garth@maths.leeds) (Retired; also affiliated with Lancaster University)
• Professor E. C. Lance (e.c.lance@leeds) (Retired)
• Professor A. T.-M. Lau (Honorary Visiting Fellow)
• Dr D. L. Salinger (d.l.salinger@leeds) (Retired)
• Dr D. Strauss (matds@leeds) (Honorary Visiting Fellow)
• Professor N. J. Young (nicholas@maths.leeds) (Research Professor)

Recent Postdoctral Fellow

• Dr S. Elliott (samuel@maths.leeds).

Postgraduate Students

You will need to modify the email addresses in the obvious way!

• S. Abumaryam (mmsab@leeds) Working with Dr Kisil.
• A. Albargi (amer@maths.leeds) Working with Dr Kisil.
• Aolo Bashar Abusaksaka (ml09abab@leeds) Working with Prof. Partington.
• M. Bugatma (bugatma@maths.leeds) Working with Dr Kisil.
• A. El-Mabrok (a.elmabrok@maths.leeds) Working with Dr Kisil.
• H. Ghlaio (h.ghlaio@maths.leeds) Working with Prof Dales and Prof Read.
• N. Miheisi (nazar@maths.leeds) Working with Prof Partington.
• V. Olisama (mm10voo@leeds.ac.uk) Working with Dr Daws and Prof Partington.
• J. Tattersall (mmjmta@leeds.ac.uk) Working with Prof Partington.

The standard map applied for 20 iterations to a vertically homogeneous initial density. Below is shown the Haar wavelet basis transform of this function: you can see both spatial and frequency data. Click the image for more information.