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 are also invovled in the Noncommutative geometry, Analysis, and Groups Seminar, and the QoP Network.

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)

Postdoctral Fellow

• Biswarup Das (to arrive November 2012).

Postgraduate Students

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

• S. Abumaryam (mmsab@leeds) Working with Dr Kisil.
• A. Albargi (mmaal@leeds) Working with Dr Kisil.
• Aolo Bashar Abusaksaka (ml09abab@leeds) Working with Prof. Partington.
• H. Ghlaio (h.ghlaio@maths.leeds) Working with Prof Read.
• Nazar Miheisi (nazar@maths.leeds). Working with Prof Partington.
• J. Tattersall (mmjmta@leeds) Working with Prof Partington.
• S. Trotter (mmst@leeds) Working with Drs Daws/Kisil.

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.