NCMW - Harmonic Analysis (2019)

Speakers and Syllabus


 

Name of the Speakers with affiliation.

No. of Lectures

Detailed Syllabus

Outstation Speakers

 

 

Dr. Luca Fanelli, SAPIENZA Università di Roma, Italy
(LF)

Five lectures and one tutorial
= 6.5 hrs

Hardy inequalities, Applications to Spectral Theory, Study of Dispersive PDE.

Prof. Bent Orsted, Aarhus University, Denmark
(BO)

Five lectures and one tutorial
= 6.5 hrs

Branching problems for unitary representations and Poisson transforms.

Prof. Sanghyuk Lee, Seoul National University, South Korea
(SL)

Five lectures and one tutorial
= 6.5 hrs

Bochner-Riesz conjecture and related problems.

Prof. Parasar Mohanty, IIT Kanpur, India
(PM)

Five lectures and two tutorials
8 hrs

Noncommutative Harmonic Analysis, Theory of Calderon-Zygmund operators and completely bounded multipliers on noncommutative L^p spaces.

 References:

Books:
1. Pisiser, Gilles, Introduction to Operator Spaces Theory, London Mathematical Society, Lecture notes Series 294.
2. Xu, Qunahua,Lecture notes on noncommutative L^p spaces.

Articles:

  1. D'Ancona, Piero; Fanelli, Luca,Lp-boundedness of the wave operator for the one dimensional Schrödinger operator, Comm. Math. Phys. 268 (2006), no. 2, 415-438.
  2. D'Ancona, Piero; Fanelli, Luca; Vega, Luis; Visciglia, Nicola, Endpoint Strichartz estimates for the magnetic Schrödinger equation, J. Funct. Anal. 258 (2010), no. 10, 3227-3240.
  3. Möllers, Jan; Ørsted, Bent; Oshima, Yoshiki, Knapp-Stein type intertwining operators for symmetric pairs, Adv. Math. 294 (2016), 256-306.
  4. Möllers, Jan; Ørsted, Bent; Zhang, Genkai, Invariant differential operators on H-type groups and discrete components in restrictions of complementary series of rank one semisimple groups, J. Geom. Anal. 26 (2016), no. 1, 118-142.
  5. Möllers, Jan; Ørsted, Bent; Zhang, Genkai,On boundary value problems for some conformally invariant differential operators, Comm. Partial Differential Equations 41 (2016), no. 4, 609-643.
  6. Lee, Sanghyuk., Square function estimates for the Bochner-Riesz means, Anal. PDE 11 (2018), no. 6, 1535-1586.
  7. Bak, Jong-Guk; Lee, Jungjin; Lee, Sanghyuk, Bilinear restriction estimates for surfaces of codimension bigger than 1, Anal. PDE 10 (2017), no. 8, 1961-1985.
  8. Lee, Sanghyuk, Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators, Duke Math. J. 122 (2004), no. 1, 205-232.

 


Time Table

 

Day

Date

Lecture 1

(9.30
to
10.30)

Tea

(10.30 to
10.50)

Lecture 2

(10.50
to
11.50)

Lecture 3

(12.00
to
13.00)

Lunch

(13.00 to
14.30)

Lecture 4

(14.30
to
15.30)

Snacks

(15.30
to
16.00)

Discussion/Tutorial

(16.00
to
17.30)

 

 

Name of the speaker)

 

Name of the speaker)

Name of the speaker)

 

Name of the speaker)

 

 

Name of the speaker)

Tue

10/12/2019

LF

BO

SL

PM

PM

Wed

11/12/2019

PM

LF

BO

SL

SL

Thu

12/12/2019

SL

PM

LF

BO

BO

Fri

13/12/2019

BO

SL

PM

LF

LF

Sat

14/12/2019

LF

BO

SL

PM

PM

  • LF: Luca Fanelli (SAPIENZA Università di Roma, Italy)

  • PM: ParasarMohanty (IIT Kanpur, India)

  • SL: Sanghyuk Lee (Seoul National University, South Korea)

  • BO: Bent Orsted (Aarhus University, Denmark)

 

 

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