The aftermath of Bell's tablet PC lectures

Find snapshots of the scribbled over remains of the
lecture notes and video recordings of the lectures
here.

• Lecture 1 on 01-20 and the video Complex Green's theorem
• Lecture 2 on 01-22 and the video Averaging property for harmonic functions
• Lecture 3 on 01-25 and the video Poisson formula and solution of the Dirichlet problem
• Lecture 4 on 01-27 and the video Analytic functions
• Lecture 5 on 01-27 and the video Bergman space and Bergman kernel
• Lecture 6 on 02-01 and the video Basic facts, and easy way to solve the Dirichlet problem on the disc
• Lecture 7 on 02-03 and the video Hardy space and Szegö kernel
• Lecture 8 on 02-05 and the video Transformation of Bergman kernels
• Lecture 9 on 02-08 and the video The Bergman projection and Green's operator
• Lecture 10 on 02-10 and the video Orthogonal complement of the Bergman space
• Lecture 11 on 02-12 and the video Solving the dee-bar problem on the unit disc
• Lecture 12 on 02-15 and the video Proof of Weyl's lemma
• No lecture on Reading Day, 02-17. Read about Runge's theorem in Stein or Ahlfors.
• Lecture 13 on 02-19 (on Runge's Theorem) and the video
• Lecture 14 on 02-22 (Runge's Theorem, part 2) and the video
• Lecture 15 on 02-24 and the video Applications of Runge's theorem, the Mittag-Leffler theorem
• Lecture 16 on 02-26 and the video Proof of the Weierstrass theorem on zeroes, the Khavinson-Shapiro conjecture
• Lecture 17 on 03-01 and the video The Dirichlet problem with rational data on the disc
• Lecture 18 on 03-03 and the video Hartog's theorem in SCV
• Lecture 19 on 03-05 and the video Hartog's theorem, part 2
• Lecture 20 on 03-08 and the video A Cauchy problem for dee-bar
• Lecture 21 on 03-10 and the video A better way to view the Cauchy-Kovalevskaya theorem
• Lecture 22 on 03-12 and the video The Cauchy transform and the Kerzman-Stein operator
• Lecture 23 on 03-15 and the video The Kerzman-Stein theorem and a key lemma
• Lecture 24 on 03-17 and the video The Plemelj formula
• Lecture 25 on 03-19 and the video Proof that the Kerzman-Stein kernel is smooth
• Lecture 26 on 03-22 and the video Hardy space and an orthogonal decomposition for L²
• Lecture 27 on 03-24 and the video The Szegö and Garabedian kernels and their zeroes
• Lecture 28 on 03-26 and the video Solving the Dirichlet problem with the Szeg&oul; projection
• Lecture 29 on 03-29 and the video The Riemann mapping function and the kernels
• Lecture 30 on 03-31 and the video Transformation formulas for the kernels, quadrature domains
• Lecture 31 on 04-02 and the video The Hopf lemma and applications to conformal mapping, a density lemma
• Lecture 32 on 04-05 and the video Quadrature domains, the Bergman kernel, and the Schwarz function
• Lecture 33 on 04-07 and the video Simply connected quadrature domains and Epstein's theorem
• Lecture 34 on 04-09 and the video The double of a domain, quadrature domains with respect to arc-length
• Lecture 35 on 04-12 and the video More about arc-length quadrature domains
• Lecture 36 (part 1) and (part 2) on 04-14 and the video Double quadrature domains
• Lecture 37 on 04-16 and the video Boundary regularity of the Bergman kernel
• Lecture 38 on 04-19 and the video The Green's function and the Bergman kernel
• Lecture 39 on 04-21 and the video Multiply connected domains, harmonic measure functions
• Lecture 40 on 04-23 and the video Mapping problems in several complex variables
• Lecture 41 on 04-26 and the video The Dirichlet problem, the Neumann problem, and the Dirichlet to Neumann map

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