The aftermath of Bell's tablet PC lectures
![[photo]](http://www.math.purdue.edu/~bell/images/bell.jpg)
These are the lecture notes and videos of Bell's
tablet PC lectures.
-
Lecture 1 on 08-25
and the
video
Introduction, new ways to think about complex analysis
-
Lecture 2 on 08-27
and the
video
Poisson and Dirichlet
-
Lecture 3 on 08-29
and the
video
Harmonic functions
-
Lecture 4 on 09-03
and the
video
The averaging property
-
Lecture 5 on 09-05
and the
video
The "dee bar" operator
-
Lecture 6 on 09-08
and the
video
Using the "dee" and "dee bar" operators
-
Lecture 7 on 09-10
and the
video
A dee-bar proof of the Mittag-Leffler theorem
-
Lecture 8 on 09-12
and the
video
Solving the inhomogeneous Cauchy-Riemann equations on the complex plane
-
Lecture 9 on 09-15
and the
video
Runge's theorem and solving the d-bar problem
-
Lecture 10 on 09-17
and the
video
The Cauchy-Kovalevskaya theorem
-
Lecture 11 on 09-19
and the
video
More on the Cauchy-Kovalevskaya theorem
-
Lecture 12 on 09-22
and the
video
The Cauchy transform
-
Lecture 13 on 09-24
and the
video
Boundary behavior of the Cauchy transform
-
Lecture 14 on 09-26
and the
video
Applications of the improved Cauchy Integral Formula
-
Lecture 15 on 09-29
and the
video
Free theorems from the u=h+H result
-
Lecture 16 on 10-01
and the
video
The Plemelj formula
-
Lecture 17 on 10-03
and the
video
The adjoint of the Cauchy transform
-
Lecture 18 on 10-06
and the
video
The adjoint of the Cauchy transform, part 2
-
Proof of Weyl's lemma (see page 75 of the book) on 10-08
-
Lecture 19 on 10-10
and the
video
The Kerzman-Stein kernel
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