Analysis Seminar, 2017-2018






 

 






Fall Semester

 

Thursdays, 2:10pm, Carver 401

 

Speaker

Title and Abstract

8/31/17

Eric Weber

Zeros of Entire Functions

9/7/17

Eric Weber

The Paley-Wiener Theorem

9/14/17

Eric Weber

The Paley-Wiener Theorem for Singular Measures

9/21/17

Eric Weber

The Kaczmarz Algorithm and Harmonic Analysis of Measures

9/28/17


 

10/5/17

Chinmay Hegde, ECE

Phase Retrieval: Challenges, Solutions, and Applications

10/12/17

Gabriel Picioroaga, USD

Title: Cuntz algebra representations and orthonormal bases

Abstract: A hidden albeit common theme in computational and theoretical harmonic analysis, and engineering is the so-called Cuntz relations which provide the geometric framework for multiresolution and the pyramid algorithms of wavelets. These relations are behind the analysis and synthesis operators used in down and up sampling of signals. These objects have been rediscovered in the 70's by operator theorists in relation to certain properties of C* algebras. The main point of my talk is the connection between representations of the Cuntz C* algebras and existence of orthonormal bases generated by the Cuntz isometries. I will provide examples which recapture classic bases such as the Fourier and Walsh but also more general systems whose properties are interesting in their own.

10/19/17

 

 

10/26/17


 

11/2/17

Tim McNicholl

 

11/9/17

Friedrich Littman, NDSU

Abstract

11/11/17

INFAS (Des Moines)

Schedule

11/16/17


 

11/30/17

Evan Camrud

A novel approach to fractional calculus: utilizing fractional integrals and derivatives of the Dirac delta function

12/7/17

Evan Camrud

A novel approach to fractional calculus: utilizing fractional integrals and derivatives of the Dirac delta function

 

 

 

Spring Semester

 

Wednesdays at 2:10pm, Carver 290

1/10/18

 

Discussion of semester events.

1/17/18

Eric Weber

Discussion of LSU analysis workshop

1/24/18

Eric Weber

The Abel Product

1/31/18

 

 

2/7/18

Data Science Candidate

 

2/14/18

 

 

2/21/18

 

 FFT Conference Report

2/28/18

 Eric Weber

 The Abel Product (continued)

3/7/18

Robert Allen, UW-La Crosse

Operator Theory on Discrete Function Spaces

3/21/18

Paul Sacks

 

3/28/18

Paul Sacks


4/4/18

Anna Seitz

Prelim

4/7/18

INFAS (Omaha)

 

4/11/18

Mary Vaughan

Title: How to define fractional Laplacians and fractional derivatives

Abstract: In this talk, we will show how to define and obtain pointwise formulas for fractional Laplacians and fractional derivatives for large classes of functions. The main tool along our work will be the method of semigroups. In the case of fractional derivatives, the Cauchy Integral Theorem will play a crucial role. We will complete each study by exploring which classes of functions allow us to view the fractional Laplacian as a distribution, Hölder continuous function, and a function in L^p. This work is part of my PhD thesis under the direction of Pablo Raúl Stinga.

4/18/18

Animesh Biswas

 

4/25/18

Tim McNicholl

 

 

 

For more information contact:

 

Eric Weber; 454 Carver Hall; 294-8151; E-mail esweber at iastate dot edu