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CRM > English > Activities > Curs 2015-2016 > IRP Constructive Approximation and Harmonic Analysis
IRP Constructive Approximation and Harmonic Analysis
From March to July 2016 
General Information
 

​How to participate:

By invitation

By registration to the Scientific Events (below)

 

Clay Mathematics Institute grants​ (Closed)

 

Weekly Seminar

​Organizing partners :
  
 
 
 
Goals

 

This research program focuses on the interaction between constructive approximation  and harmonic analysis. The aim is to facilitate broader and deeper interaction among researchers in these fields.

Approximation theory seeks to approximate complicated functions by simpler functions from certain classes and to evaluate the errors inevitably arising in such approximations. This field draws its methods from various areas of mathematics such as functional analysis, variational analysis, probability etc. Constructive approximation strives to explicitly find the best (or nearly best) approximants in such problems which is of tremendous importance in numerous applications.

Harmonic analysis is a very old branch of mathematics which investigates the behavior of functions using their time and frequency features as well as various (orthogonal) decompositions. Despite a long history, this field is very vital today with numerous open problems and active research areas, such as weighted inequalities, time-frequency analysis, multilineal analysis, singular integrals on rectifiable sets and many others. Harmonic analysis reveals exciting connections to other branches of mathematics, such as geometric measure theory, complex analysis, convex and discrete geometry.

 

Among all these relations, a very special place is taken by the link between harmonic analysis and approximation theory (this interplay is well known: trigonometric polynomials, wavelets, frames, other (quasi) orthogoAnal systems, hyperbolic cross approximations play an important role in approximation and are a subject of active ongoing research).​

 

Scientific Coordinators

 

Dmitriy Bilyk, University of Minnesota
Feng Dai, University of Alberta
Vladimir Temlyakov, University of South Carolina
Sergey Tikhonov, ICREA-CRM 

 
Scientific Commitee
 
Konstantin Dyakonov, ICREA-Universitat de Barcelona 
Alex Iosevich, University of Rochester 
Christoph Thiele, Universität Bonn

​Scientific events

  

Workshop on Function Spaces and High-dimensional Approximation​​​​, from May 2 to 6, 2016

Advanced course by Jill Pipher, from May 9 to 11, 2016

Advanced course on Constructive Approximation and Harmonic Analysis, from May 30 to June 4, 2016

Conference on Harmonic Analysis and Approximation Theory (HAAT 2016)​,  from June 6 to 10, 2016

Weekly Seminar​

 

Invited Researchers

 

JavadAbdalkhaniThe Ohio State University
ZelfiraAigazinovaL.N. Gumilyov Eurasian National University28/03/201608/04/2016
RamazanAkgünBalikesir University
GabdollaAkishevKaraganda State University
GabdollaAkishevKaraganda State University 01/05/201611/05/2016
MuratAkmanInstituto de Ciencias Matemáticas
RauanAkylzhanovUniversity of Stavanger
ChiaraAlbaImperial College London
WolfgangAntonRWTH Aachen University01/06/201604/06/2016
JonasAzzamUniversitat Autònoma de Barcelona
AigulBadespayevaL.N. Gumilyov Eurasian National University28/03/201608/04/2016
BiswaranjanBeheraIndian Statistical Institute Kolkata
Pablo ManuelBernáUniversidad de Murcia
DmitriyBilykUniversity of Minnesota
DmitriyBilykUniversity of Minnesota29/05/201611/06/2016
AndriiBondarenkoNorwegian University of Science and Technology
AndriiBondarenkoNorwegian University of Science and Technology20/04/201621/05/2016
BarryBootonFlorida Atlantic University
BarryBootonFlorida Atlantic University31/05/201606/06/2016
NattapongBosuwanMahidol University
Jean-LucBouchotRWTH Aachen University
Jean-LucBouchotRWTH Aachen University22/05/201610/06/2016
MartinBuhmannJustus-Liebig Universität Giessen
GlennByrenheidUniversität Bonn
PetrChunaevUniversitat Autònoma de Barcelona
AlbertCohenUniversité Pierre et Marie Curie29/05/201610/06/2016
AlbertCohenUniversité Pierre et Marie Curie30/05/201605/06/2016
José ManuelCondeConsejo Superior de Investigaciones Científicas
GaliaDafniConcordia University
FengDaiUniversity of Alberta
FengDaiUniversity of Alberta01/05/201608/06/2016
FengDaiUniversity of Alberta16/06/201609/07/2016
PeiDangUniversity of Macau
LauraDe CarliFlorida International University
LauraDe CarliFlorida International University04/05/201614/05/2016
AlbertoDebernardiCentre de Recerca Matemàtica
RonaldDeVoreTexas A&M University31/05/201602/06/2016
FrancescoDiPlinioFrancesco Di Plinio
OscarDominguezUniversidad Complutense de Madrid
ÓscarDomínguezUniversidad Complutense de Madrid13/06/201622/06/2016
BorislavDraganovInstitute of Mathematics and Informatics
DouadiDrihemUniversité Mohamed BOUDIAF - M'Sila
KarolDziedziulGdansk University of Technology
Diogo Oliveirae SilvaHausdorff Center for Mathematics
MichelaEgidiTechnische Universität Chemnitz
YuriFarkovRussian Prd. Acad. of Ntl. Economy and Public Adm.
HanFengUniversity of Alberta
VeroniqueFischerUniversity of Bath
Jean-PierreGabardoMcMaster University
MichaelGanzburgHampton University
MichaelGanzburgHampton University26/05/201617/06/2016
JiGaoCommunity College of Philadelphia
gustavogarrigosUniversidad de Murcia
AmiranGogatishviliAcademy of Sciences of the Czech Republic
AmiranGogatishviliAcademy of Sciences of the Czech Republic22/05/201620/06/2016
AlexanderGoncharovBilkent University
DmitryGorbachevTula State University
DmitryGorbachevTula State University20/02/201605/03/2016
DmitryGorbachevTula State University07/05/201612/06/2016
StepanGrigorievFlorida International University
ShaomingGuoIndiana University
DeguangHanUniversity of Central Florida
BinHanUniversity of Alberta05/06/201612/06/2016
EugenioHernándezUniversidad Autónoma de Madrid
AickeHinrichsJohannes Kepler Universität Linz
Olga V.HoltzUniversity of California at Berkeley
Olga V.HoltzUniversity of California at Berkeley28/05/201610/06/2016
AlexanderIosevichUniversity of Rochester
DaniyalIsrafilovBalikesir University
ValeriiIvanovTula State University
ValeriiIvanovTula State University18/05/201616/06/2016
Joan VerderaJoanUniversitat Autònoma de Barcelona
MartinJoaquimUniversitat Autònoma de Barcelona
ChristopherKacwin
DmitriiKarpFar Eastern Federal University
VanKienFriedrich-Schiller Universität Jena
YuriiKolomoitsevInstitute of Mathematics of NAS of Ukraine
YuriiKolomoitsevInstitute of Mathematics of NAS of Ukraine29/05/201623/06/2016
MartinKrepelaKarlstad University
ThomasKühnUniversität Leipzig
DanyLeviatanTel Aviv University
DanyLeviatanTel Aviv University28/05/201620/06/2016
EliLevinThe Open University of Israel
ElijahLiflyandBar-Ilan University
ElijahLiflyandBar-Ilan University21/02/201606/03/2016
ElijahLiflyandBar-Ilan University31/05/201614/06/2016
EntaoLiuGeorgia Institute of Technology
ItayLondnerTel Aviv University
NesibeManavGazi Üniversitesi
AndreiMartínezUniversidad de Almeria
JordiMarzoUniversitat de Barcelona
JavadMashreghiUniversité Laval
JavadMashreghiUniversité Laval30/05/201610/06/2016
SvitlanaMayborodaUniversity of Minnesota03/05/201615/05/2016
SebastianMayer
SebastianMayerUniversität Bonn
Michael LaceyMichaelGeorgia Institute of Technology
CarolinaMosqueraUniversidad de Buenos Aires
MihalisMourgoglouUniversitat Autònoma de Barcelona
MarvinMuellerUniversität Trier
AskhatMukanovL.N. Gumilyov Eurasian National University
SelmaNegzaouiUniversity of Monastir
ArturNicolauUniversitat Autònoma de Barcelona
YerlanNursultanovL.N. Gumilyov Eurasian National University
YerlanNursultanovL.N. Gumilyov Eurasian National University26/04/201607/05/2016
TimurOikhbergUniversity of Illinois
AlexanderOlevskiiTel Aviv University05/06/201612/06/2016
Walter AndrésOrtizUniversitat Autònoma de Barcelona
IoannisParissisUniversidad del País Vasco
IsaacPesensonTemple University-CCP
JillPipherBrown University
JillPipherBrown University01/05/201614/05/2016
JillPipherBrown University06/06/201612/06/2016
StamatisPouliasisSabanci University
MalabikaPramanikThe University of British Columbia05/06/201611/06/2016
LauraPratUniversitat Autònoma de Barcelona
AndriyPrymakUniversity of Manitoba
CarmeloPuliattiUniversità degli studi di Padova
PabloQuijanoUniversidad Nacional del Litoral
SenthilRaaniIndian Institute of Science, Education & Research
HermannRenderUniversity College Dublin
FulvioRicciScuola Normale Superiore di Pisa05/06/201608/06/2016
AleksandrRotkevichSt. Petersburg State University
EduardRoureUniversitat de Barcelona
OlliSaariAalto University
DeividasSabonisTechnische Universität München
GaliyaSarsembayevaL.N. Gumilyov Eurasian National University28/03/201608/04/2016
Hans-JuergenSchmeisserFriedrich-Schiller Universität Jena
Hans-JürgenSchmeisserFriedrich-Schiller Universität Jena01/05/201607/05/2016
DanielSecoUniversitat de Barcelona
AndreasSeegerUniversity of Wisconsin - Madison
AndreasSeegerUniversity of Wisconsin - Madison29/05/201630/06/2016
AndreasSeegerUniversity of Wisconsin - Madison30/05/201604/06/2016
AndreasSeegerUniversity of Wisconsin - Madison06/06/201610/06/2016
AlexeiShadrinUniversity of Cambridge
AlexeiShadrinUniversity of Cambridge16/05/201609/06/2016
WinfredSickelFriedrich-Schiller Universität Jena01/05/201607/05/2016
IlonaSimonUniversity of Pécs
BirendraSinghIndian Institute of Technology Roorkee
ScottSpencerGeorgia Institute of Technology
SerhiiStasiukNational Academy of Sciences of Ukraine
SerhiiStasiukNational Academy of Sciences of Ukraine02/05/201629/06/2016
SerhiiStasyukUkrainian Math Institute
VladimirStepanovPeoples Frienship University of Russia
AlexStokolosGeorgia Southern University
AlexanderStokolosGeorgia Southern University04/06/201619/06/2016
VladimirTemlyakovUniversity of South Carolina
VladimirTemlyakovUniversity of South Carolina01/05/201612/06/2016
VladimirTemlyakovUniversity of South Carolina30/05/201603/06/2016
MichaelThoreauGeorgia Institute of Technology31/05/201611/06/2016
SergeyTikhonovCentre de Recerca Matemàtica
SergeyTikhonovCentre de Recerca Matemàtica01/03/201631/07/2016
XavierTolsaUniversitat Autònoma de Barcelona
HansTriebelFriedrich-Schiller Universität Jena
HansTriebelFriedrich-Schiller Universität Jena01/05/201607/05/2016
MarioUllrichJohannes Kepler Universität Linz
TinoUllrichUniversität Bonn
TinoUllrichUniversität Bonn30/05/201603/06/2016
IgnacioUriarteMichigan State University
AndreUschmajewUniversität Bonn
OlenaUsoltsevaTaras Shevchenko National University of Kyiv
OlenaUsoltsevaTaras Shevchenko National University of Kyiv29/05/201611/06/2016
PabloVinuesaUniversity of Bath
YitzhakWeitUniversity of Haifa
JochenWengenrothUniversität Trier
AizhanYdyrysL.N. Gumilyov Eurasian National University
AizhanYdyrysL.N. Gumilyov Eurasian National University01/03/201611/06/2016
WenruiYeUniversity of Alberta
HongYueGeorgia College
SuleYükselGazi Üniversitesi
MeruyertZhanyspayevaL.N. Gumilyov Eurasian National University28/03/201608/04/2016

 

 

This is is being updated as researchers confirm their visits 
 
Acknowledgements
 
 
This program is made possible in part by the generous support from the Clay Mathematics Institute​, the Simons Foundation​ and the International Society for Analysis, its Applications and Computation​
 
 
Organizing partners
 

                                     

Further information

 

 
For inquiries about the program please contact the research program's coordinator at IRP@crm.cat