The Analysis Seminar Fall 2008-Spring 2019

 

Spring 2019

·        February 7: Ariel Barton, University of Arkansas, The Neumann problem for symmetric higher order elliptic differential equations, Abstract

·        March 21: Spring Break

·        March 28: Zach Bradshaw, Existence problems for the Navier-Stokes equations, Abstract

·        April 4: John Akeroyd, Uniform Frostman Blaschke products and a theorem of Vasyunin,  Abstract

·        April 18: Spring Lecture Series

 

Fall 2018

·        September 20: Ariel Barton, University of Arkansas, Extrapolation of well posedness for higher order elliptic systems with rough coefficients Abstract

·        October 18: Meredith Sargent, University of Arkansas, Escaping nontangentiality: Towards a controlled tangential amortized Julia-Caratheodory theory Abstract

·        November 8: Marco Peloso, University of Milan, Measuring smoothness in Riemannian and sub-riemannian settings, Abstract

·        November 22: Thanksgiving Break

·        November 29: :  Tulin Kaman, University of Arkansas, Numerical algorithms for compressible turbulent mixing Abstract

·        December 6:

Spring  2018

·        March 15: John Akeroyd, Uniform approximation by the indestructibles Abstract

·        March 22: Spring Break

·        April 5: 43rd Spring Lecture Series

Fall 2017

·         September 14: Andy Raich, University of Arkansas, The Global Behavior of the Fourier and FBI transforms, part 1Abstract

·         September 21: Andy Raich, University of Arkansas, The Global Behavior of the Fourier and FBI transforms, part 2 Abstract

·         September 28: Zachary Bradshaw, University of Arkansas, Self-similar solutions to the Navier-Stokes equations Abstract

·         October 12: Chao Ding, Some Properties of the Higher Spin Laplace Operator Abstract

·         November 2: Phil Harrington, Global Regularity for the Bergman Projection Abstract

·         November 9: John Akeroyd, A low budget theorem on the index of the shift and nontangential limits Abstract

·         November 16: John Akeroyd, A low budget theorem on the index of the shift and nontangential limits, Part II Abstract

·         November 23: Thanksgiving Break

Spring 2017

·         March 9: Spring Lecture Series

·         March 23: Spring Break

·         April 20: Andy Raich, University of Arkansas, Closed range of the Cauchy-Riemann operator on domains in C^n Abstract

·         April 27: Wanqing Cheng, University of Arkansas, The $\Pi$-operator in Clifford Analysis and its Applications  Abstract

·         May 4: Wanqing Cheng, University of Arkansas, The $\Pi$-operator in Clifford Analysis and its Applications, part 2, Abstract

Fall 2016

·         October 13: John Duncan, University of Arkansas, Hermitian elements in Banach algebras; snapshots over 50 years  part I  Abstract

·         October 20: John Duncan, University of Arkansas, Hermitian elements in Banach algebras; snapshots over 50 years  part II  Abstract

·         November 17: Ariel Barton, University of Arkansas, The Neumann problem for symmetric higher order elliptic differential equations Abstract

·         November 24: Thanksgiving Break

Spring 2016

·         March 3: John Akeroyd, University of Arkansas, Notes on Frostman Blaschke products part I Abstract

·         March 10: John Akeroyd, University of Arkansas, Notes on Frostman Blaschke products part II Abstract

·         March 24:  Spring Break

·         April 14: Spring Lecture Series

Fall 2015

Spring 2015

·         February 5: Dan Luecking, University of Arkansas, Interpolation Schemes in Bergman spaces with logarithmically superharmonic weights Abstract

·         March 5: Spring Lecture Series

·         March 26: Spring Break

·         April 23: Andy Raich, University of Arkansas, The Box_b equation on quadric submanifolds  Abstract

·        April 30: Maria Tjani, University of Arkansas, Closed range composition operators on the Bergman space, Abstract

·        May 21: John Ryan, University of Arkansas, From Hermitian Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and other CR Manifolds, Abstract

·       

Fall 2014

·         September 25: Jiri Lebl, Oklahoma State University, Levi-flat hypersurfaces induced by a curve in the Grassmannian  Abstract

·         October 2: Craig Nolder, Florida State University, The Invariant Laplacian Abstract

·         November13: William Feldman, University of Arkansas, A characterization of non-linear operators satisfying orthogonality properties, Abstract

·         November 27: Thanksgiving Day

Spring 2014

·         January 23: Marco Marchi, University of Milano, Regularity of sets with constant normal in Carnot groups Abstract

·         March 13: Maria Tjani, UA, Norms and essential norms of weighted composition operators from reproducing kernel Hilbert spaces into weighted-type spaces Abstract

·         March 20: Jessica E. Stovall, University of North Alabama, Associating Linear and Nonlinear Operators Abstract

·         March 27: Spring Break

·         April 10: Spring Lecture Series

Fall 2013

·         September 19: John Duncan, UA, Which algebras are primitive? Abstract

·         September 26: John Duncan, UA, Which algebras are primitive? Part II

·         October 3: John Duncan, UA, Which algebras are primitive? Part III

·         October 17: Nate Eldredge, University of Northern Colorado, Widder's representation theorem for Dirichlet forms  Abstract

·         November 28: Thanksgiving Day

Spring 2013

·         February 14: Alessandro Monguzzi, University of Milano,  The failing of exact regularity of the Bergman projector on the worm domain  Abstract

·         March 21: Spring Break

·         March 28: Maria Tjani, UA, Weighted composition operators from Besov spaces into H^infty_mu  Abstract

·         April 4: Spring Lecture Series

·         April 11: Neil Lyall, University of Georgia, Arithmetic Structure in Difference Sets  Abstract

·         May 2: Marco Peloso, UA, New (and classical) Hilbert function spaces of holomorphic functions on the (right) half-plane Abstract

Fall 2012

·          September 13: Marco Peloso, UA, Global regularity for distinguished operators on pseudoconvex domains and on their boundaries Abstract

·        September 20: Marco Peloso, Part 2

·        October 4: Marco Peloso, Analysis on the worm domain and the failing of global regularity Abstract

·         October 18: Marco Peloso, Global regularity on domains admitting a defining function plurisubharmonic on the boundary: The case of the Neumann and    Bergman operator Abstract

·        November 15: Math club talk

·         November 22: Thanks

·        November 29:  Jennifer Halfpap, University of Montana, The Szego Kernel for Non-Pseudoconvex Tube Domains in C^2  Abstract

Spring 2012

·        February 23: Debraj Chakrabarti, TIFR Centre for Applicable Mathematics  Abstract

·        March 22: Spring Break

·        March 29: Lawrence Harris, University of Kentucky, Bivariate Polynomial Interpolation and Cubature  Abstract

·        April 12: Spring Lecture Series

·        April 19: Maria Tjani, UA, Closed range composition operators, Abstract

Fall 2011

·        September 8:  John Duncan, UA, The Holbrook inequality problem Part I    Abstract 

·        September 15:  John Duncan, UA, The Holbrook inequality problem Part II 

·        November 10: Mike Bolt, Calvin College, Spectrum of the Kerzman-Stein operator for model domains   Abstract 

·        November 24: Thanksgiving Day

Spring 2011

·        February 17:  Andy Raich, UA, An introduction to the analysis of PDEs with periodic  coefficients, Abstract

·        February 24: Andy Raich, UA, An introduction to Floquet theory, Abstract

·        March 3: Andy Raich, UA, An application of Floquet theory to the asymptotics of the resolvent,  Abstract

·        March 24: Spring Break

·        April 7: Spring Lecture Series

·        April 21: Jessica Stovall’s thesis defense at 1pm

Fall 2010

·        September 23: Junxia Li, UA, Part I, Some Rarita-Schwinger type operators, Abstract

·        October 14:  Camil  Muscalu, Cornell, On some problems related to almost everywhere convergence of products of Fourier series, Abstract

·        October 21: John Akeroyd, UA, Concerning Shapiro’s compactness criterion for composition operators, Abstract

·        October 28: Kai Rajala,  University of Jyväskylä, Finland, Picard-type theorems for quasiregular mappings, Abstract

·        November 11: Carmen Judith Vanegas, Universidad Simon Bolivar, Venezuela, Structure polynomials of Clifford-type algebras and some of its applications, Abstract

·        December 2:  Siqi Fu, Rutgers, Comparison of the Bergman and Szego kernels, Abstract

Spring 2010

·        January 14: Andrew Morris, University of Newcastle, Quaternion valued wavelets over R^2, Abstract

·        January 21: John Duncan, UA, mu-sets in the unit circle, Abstract

·        February 4: John Duncan, UA, mu-sets in the unit circle Part II

·        February 18: Cosimo Senni, University of Bologna, Constant mean curvature graphs over exterior domains of  the hyperbolic plane, Abstract

·        April 1: William A. Feldman, UA, Characterization of k-disjointness Preserving Non-linear Operators Between Banach Lattices, Abstract

·        April 15: Spring Lecture Series

·        April 22: Luca Capogna, UA , A gradient flow for L^p  dilation, Abstract

Fall 2009

·        September 17: John Ryan, UA, Aspects of Rarita-Schwinger operators,  Abstract

·        September 24: Andy Raich, UA, The Box_b-heat kernel on quadric manifolds, Abstract

·        October 29: John Akeroyd, UA, Density of the polynomials in the Bergman space of Slit-Domains, Abstract

·        November 12: Phil Harrington, UA, Global Regularity for the dbar-Neumann Problem, Abstract

·        November 19: Richard Askey, University of Wisconsin-Madison, A few of the many things which can be done with orthogonal polynomials,  Abstract

Spring 2009

·        February 5: John Duncan, UA, Does there exist a left-primitive Banach algebra which is not right-primitive?

·        February 12: John Duncan, UA, Does there exist a left-primitive Banach algebra which is not right-primitive? Part II

·        February 19:  Neil Lyall, University of Georgia, Optimal polynomial return times,  Abstract

·        February 26: John Ryan, UA, p-Dirac equations,  Abstract

·        March 5: John Ryan, UA, p-Dirac equations, Part II

·        April 2: Mehmet Celik, UAFS, Observations on some properties of the dbar-Neumann Operator,  Abstract                   

·        April 16: Spring Lecture Series

·        April 23: Daniel Luecking, UA, Constrained interpolation in Bergman spaces,  Abstract

·        April 30: Daniel Luecking, UA, Constrained interpolation in Bergman spaces, Part II

Fall 2008

·        September 11: Andy Raich, UA, An introduction to the weighted dbar-heat equation in C, Abstract

·        September 18: Andy Raich, UA, An introduction to the weighted dbar-heat equation in C, Part II

·        September 25: Andy Raich, UA, An introduction to the weighted dbar-heat equation in C, Part III

·        October 2: Andy Raich, UA, An introduction to the weighted dbar-heat equation in C, Part IV

·        October 9: Katharine Ott, University of Kentucky, Spectral Properties of Singular Integral Operators, Abstract

·        October 16: Luca Capogna, UA, Regularity of certain minimal graphs in the sub- Riemannian Heisenberg group, Abstract

·        October 30: John Akeroyd, UA, Density of the polynomials in Hardy and Bergman Spaces, Abstract

·        November 6: Joe Lakey, New Mexico State University, Las Cruces, Time-Frequency localization of  Multiband signals,  Abstract

·        November 20: Jeff Hogan, UA,  A Hitchhiker's Guide to Clifford Analysis and Special Functions, Abstract

·        December 4: John Ryan, UA,  p-Dirac operators, Abstract