Topics on Harmonic Analysis
The course schedule has been changed. Please refer to the following information,
2026-06-26 15:20-18:40
2026-06-12 15:20-18:40
2026-06-05 15:20-18:40
2026-06-02 15:20-16:55 (ZOOM has been changed to Zoom 11)
2026-05-29 15:20-18:40
2026-05-26 15:20-18:40 (ZOOM has been changed to Zoom 12)
2026-05-22 15:20-18:40
2026-05-19 15:20-18:40 (ZOOM has been changed to Zoom 12)
2026-05-15 15:20-18:40
Date: 2026-05-19
Weekday: Tue
Time: 15:20:00 - 18:40:00
Venue: A14-101
Zoom ID: 815 762 8413
Zoom PW: BIMSA
Link: https://us02web.zoom.us/j/8157628413?pwd=S1JRUGhqUzdrcXhXTXl3QjBpZU84Zz09
Date: 2026-05-26
Weekday: Tue
Time: 15:20 - 18:40
Venue: A14-101
Zoom ID: 815 762 8413
Zoom PW: BIMSA
Link: https://us02web.zoom.us/j/8157628413?pwd=S1JRUGhqUzdrcXhXTXl3QjBpZU84Zz09
Date: 2026-06-02
Weekday: Tue
Time: 15:20 - 16:55
Venue: A14-101
Zoom ID: 435 529 7909
Zoom PW: BIMSA
Link: https://us02web.zoom.us/j/4355297909?pwd=RGs4b0pQSmJMRkRveWJ2eHUxVjNrUT09
This course presents semigroup methods in harmonic analysis, with an emphasis on Markov semigroups and their links to classical real-variable techniques. We begin with the heat and Poisson semigroups on $\mathbb{R}^d$ (kernels, subordination, and basic estimates), then introduce Markov semigroups on probability spaces $(E,\mathcal{B},\mu)$ through a range of examples. After review of Euclidean Calder\'on--Zygmund theory---in particular the Riesz transforms and their $L^p$ and weak-type bounds---we turn to Gaussian harmonic analysis for the Ornstein--Uhlenbeck operator, where Lebesgue measure is replaced by the Gaussian measure and the Mehler kernel plays the role of the heat kernel.
2026-06-26 15:20-18:40
2026-06-12 15:20-18:40
2026-06-05 15:20-18:40
2026-06-02 15:20-16:55 (ZOOM has been changed to Zoom 11)
2026-05-29 15:20-18:40
2026-05-26 15:20-18:40 (ZOOM has been changed to Zoom 12)
2026-05-22 15:20-18:40
2026-05-19 15:20-18:40 (ZOOM has been changed to Zoom 12)
2026-05-15 15:20-18:40
Date: 2026-05-19
Weekday: Tue
Time: 15:20:00 - 18:40:00
Venue: A14-101
Zoom ID: 815 762 8413
Zoom PW: BIMSA
Link: https://us02web.zoom.us/j/8157628413?pwd=S1JRUGhqUzdrcXhXTXl3QjBpZU84Zz09
Date: 2026-05-26
Weekday: Tue
Time: 15:20 - 18:40
Venue: A14-101
Zoom ID: 815 762 8413
Zoom PW: BIMSA
Link: https://us02web.zoom.us/j/8157628413?pwd=S1JRUGhqUzdrcXhXTXl3QjBpZU84Zz09
Date: 2026-06-02
Weekday: Tue
Time: 15:20 - 16:55
Venue: A14-101
Zoom ID: 435 529 7909
Zoom PW: BIMSA
Link: https://us02web.zoom.us/j/4355297909?pwd=RGs4b0pQSmJMRkRveWJ2eHUxVjNrUT09
This course presents semigroup methods in harmonic analysis, with an emphasis on Markov semigroups and their links to classical real-variable techniques. We begin with the heat and Poisson semigroups on $\mathbb{R}^d$ (kernels, subordination, and basic estimates), then introduce Markov semigroups on probability spaces $(E,\mathcal{B},\mu)$ through a range of examples. After review of Euclidean Calder\'on--Zygmund theory---in particular the Riesz transforms and their $L^p$ and weak-type bounds---we turn to Gaussian harmonic analysis for the Ornstein--Uhlenbeck operator, where Lebesgue measure is replaced by the Gaussian measure and the Mehler kernel plays the role of the heat kernel.
Lecturer
Date
13th March ~ 26th June, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Friday | 15:20 - 18:40 | A14-101 | Zoom 17 | 442 374 5045 | BIMSA |
Audience
Graduate
Video Public
No
Notes Public
No
Language
English
Lecturer Intro
Mahdi Hormozi is an Assistant Professor at BIMSA working in harmonic analysis, with a focus on Fourier analysis, singular integrals, and related questions in operator theory and PDE.