Just a short announcement that next quarter I will be continuing the recently concluded 246A complex analysis class as 246B. Topics I plan to cover:
- Schwartz-Christoffel transformations and the uniformisation theorem (using the remainder of the 246A notes);
- Jensen’s formula and factorisation theorems (particularly Weierstrass and Hadamard); the Gamma function;
- Connections with the Fourier transform on the real line;
- Elliptic functions and their relatives;
- (if time permits) the Riemann zeta function and the prime number theorem.
Notes for the later material will appear on this blog in due course.
11 comments
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11 December, 2020 at 4:03 pm
raian anantharaman
Thanks for this complex 2nd
It seems that the Paley..Weiner .theorem in the complex plane Cis included. also
may be Stein s generalizarion?
14 December, 2020 at 4:28 pm
Edgawliet
Very good. Thank you Professor Tao. I hope I could enrol in your online courses in the future when I have enough knowledge.
16 December, 2020 at 6:47 am
Date of start
Prof. Tao can you please tell us the date when the course 246B will begin ?
27 December, 2020 at 7:21 am
LC
I understand the first lecture is Monday January 4th
https://ccle.ucla.edu/mod/page/view.php?id=3434115
at 10-10:50am PT, but it would be cool to have a confirmation.
16 December, 2020 at 8:58 am
Anonymous
You can find all your answer from this link https://ccle.ucla.edu/course/view/21W-MATH246B-1
20 December, 2020 at 12:13 pm
paul miller
Thank you. Will you be making the lectures publicly available? I was inspired by your 246A lectures and would love to be able to hear 246B if possible. regards, Paul Miller
12 January, 2021 at 11:41 am
Anonymous
Dear Prof. Tao:
Could you teach 246C in the spring? It will be nice to complete the sequence. When things go back to normal next year, non-UCLA students won’t be able to attend your classes.
15 February, 2021 at 10:05 am
Anonymous
Is there no class on Feb 15 due to Presidents’ Day holiday?
22 March, 2021 at 4:11 pm
h0sane
Will the notes for this be available online after?
23 March, 2021 at 7:10 pm
Anonymous
It is already posted.
23 March, 2021 at 7:46 pm
h0sane
thank you so much!