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Solutions to Exam Dec. 2016
The Riesz-Markov Theorem for Positive Functionals
(Her er hele beviset ogs? den delen vi ikke fikk tid til.)
Solution to 13.78 can be found here:
Tillitsvalgt er:
Vegard Antun [vegarant(at)math.uio.no]
L?sninger ligger I mappen Oppgaver, til venstre p? semestersiden.
The course contents will mainly be taken from
[MW] J. McDonald, N. Weiss, A course in real analysis, 2nd edition. In particular, we will cover parts of
Ch. 6 , 8, 9 (9.1-9.4), 12 (12.1), 13 (13.4-13.6) and 14 (14.1-14.2).
Occasionally we will also consult the sources
[F] Gerald B. Folland, Real Analysis, [RF] H. L. Royden, P. M. Fitzpatrick, Real Analysis (4th edition), and Gert K. Pedersen, Analysis Now.
Some alternatives and supplementary literature:
[D] B. Driver "Analysis tools with examples"
[RF] H. L. Royden, P. M. Fitzpatrick, Real Analysis (4th edition)
[B] Richard F. Bass Real analysis for graduate students: measure and integration theory