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Research interests and recent talks and publications

General Research Area: Complex Analysis, Harmonic Analysis and Operator Theory

Brief Research Summary: My research interests lie in the intersection of Complex Analysis, Harmonic Analysis  and Operator Theory, . Many problems I am working on have their origin in applications, such as Control Theory (H-infinity control, etc.), Stationary Random Processes.

My earlier research deals with Hankel and Toeplitz operators, functional models of operators, spectral decompositions of operators, spectral theory of matrix- and operator-valued functions.

Recent research projects involve classical and non-classical harmonic analysis, such as: weighted norm inequalities for singular integral operators, matrix Apweights, wavelet and frame decompositions, Calderon--Zygmund operators on non-homogeneous spaces and analytic capacity.  Some of the most recent projects in this directions deal multi-parameter harmonic analysis.

Another direction of research concerns  the Corona Problem and related topics, in particular the relations between the Corona Problem and geometry of Hermitian bundles. 

The papers below give you general idea of my recent research projects.

Recent papers

All my recent papers are posted on the ArXive, so I am no longer posting the papers on my page.
You can follow this link to get to the ArXive page with my papers


Below are the older, previously posted  papers, I am not removing any links, since not all of them are available in the ArXive. Clicking on a link brings you either to an ArXive page with the paper or to a page with short abstract (sometimes there is no abstract) and links to
.dvi , .ps and .PDF files with the text.






 

Math Department Home Page
Sergei Treil home page
Research
e-mail me
Get my PGP public key.