This page gives access to a
revised version of the notes used in the courses ModAn in Block 3 and ModAn2 in
Block 4, Spring 2007. They have also
been used in earlier courses on Distribution Theory, and they are presently
being turned into a book, to appear in the Springer Verlag Graduate Texts in
Mathematics series.
Lecture
Notes:
(By Gerd Grubb,
illustrations made by Mads Haar.) Latest
versions are from December 2007 and Spring 2008.
Contents (not yet revised) distcon.pdf distcona.pdf
1. Distribution Spaces dist1.pdf
2. Function spaces and
approximation dist2.pdf
3. Distributions. Examples
and rules of calculus dist3.pdf
4. Realizations and Sobolev
spaces dist4.pdf
5. Fourier transformation
of distributions dist5.pdf
6. Applications to
differential operators. The Sobolev Theorem
dist6.pdf
7. Pseudodifferential operators on open
sets dist7.pdf dist7n.pdf
8. Pseudodifferential operators on manifolds,
index of elliptic operators dist8.pdf dist8n.pdf
9. Boundary value problems in a
constant-coefficient case dist9.pdf dist9n.pdf
10. Pseudodifferential boundary operators dist10.pdf dist10n.pdf
11. Pseudodifferential methods for boundary value problems dist11.pdf dist11n.pdf
12. Unbounded linear
operators dist12.pdf
13. (former 12) Families of
extensions dist13b.pdf dist13n.pdf
14. (former 13) Semigroups of operators dist14.pdf
Appendices:
A. Some notation and
prerequisites dista.pdf
B. Topological vector
spaces distb.pdf
C. Function spaces distc.pdf
References distrefb.pdf distrefn.pdf