Analysis Seminar, Spring 2020
Schedule
During Spring 2020, the Analysis Seminar will meet on Tuesdays 3:30-4:20pm in Keller 301.
Contact
If you would like to give a talk, please contact me at myounsi@math.hawaii.edu.
Talks
- January 21, 2020 : Prabath Silva (University of Hawaii)
Multilinear singular integral operators with modulation invariances (Part I).
We will go over the frequency side of such operators. Using lots of examples starting with the key examples—the Hilbert transform, bilinear Hilbert transform, Carlson operator and trilinear Hilbert transform— we will see how to identify and classify modulation invariances. Multi parameter, vector-valued versions of the operators will be discussed too.
In the second talk we will outline the methods and the combinatorial difficulties that arise when we move to the full time-frequency picture.
- January 28, 2020 : Prabath Silva (University of Hawaii)
Multilinear singular integral operators with modulation invariances (Part II).
We will go over the frequency side of such operators. Using lots of examples starting with the key examples—the Hilbert transform, bilinear Hilbert transform, Carlson operator and trilinear Hilbert transform— we will see how to identify and classify modulation invariances. Multi parameter, vector-valued versions of the operators will be discussed too.
In the second talk we will outline the methods and the combinatorial difficulties that arise when we move to the full time-frequency picture.
- February 4, 2020 : Christopher Winfield (University of Hawaii)
Global Analysis of Some ODOps as Representations of PDOps: Ramifications of Local Solvability.
A study of global analysis for a class of ordinary
differential operators, depending on a parameter is presented.
Here, asymptotic estimates of certain homogeneous ODEs are determined in
relation to the solvability of the partial differential operators they
represent. Methods of Fourier/harmonic analysis of pseudodifferential
operators are involved as well as asymptotic methods of ODOps.
- February 11, 2020 : Malik Younsi (University of Hawaii)
Removable sets for analytic functions.
I will discuss various results and open problems related to removable sets with respect to various classes of analytic functions and conformal maps. I will also present several important notions in geometric function theory, such as extremal length, quasiconformal mappings, quasihyperbolic distance, etc.
Slides
- February 18, 2020 : Malik Younsi (University of Hawaii)
Removable sets for analytic functions (Part II)
I will discuss various results and open problems related to removable sets with respect to various classes of analytic functions and conformal maps. I will also present several important notions in geometric function theory, such as extremal length, quasiconformal mappings, quasihyperbolic distance, etc.
Slides
- March 9, 2020 : Shubham Joshi (University of Hawaii)
Proof of the measurable mapping theorem
- March 24, 2020 : Paata Ivanisvili (UC Irvine)
TBA
- March 31, 2020 : Prabath Silva (University of Hawaii)
TBA
- April 14, 2020 : Thomas Hangelbroek (University of Hawaii)
TBA
- April 21, 2020 : Thomas Hangelbroek (University of Hawaii)
TBA