MATH 240C: Real Analysis
Spring 2019
Instructor:
Jacob Sterbenz
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240C Home
Syllabus
Meetings
Schedule
Homework
Qual
Notes
Lecture Notes
(Not proofread so please use carefully)
Radon measures, positive Riesz representation
.
Regularity of Radon measures
.
Complex Riesz representation
.
Weak topologies, Alaoglu's Thm
.
Semicontinuity
.
BV functions ala Riesz
.
Uniform convexity, convolutions
.
Intro to Fourier transform
.
More FT intro (basically the same as above)
.
Convolutions and approximate identities
.
FT of distributions
.
Delta and PV
.
Intro to Sobolev spaces
.
Dyadic rearrangements and HLS
.
Rellich compactness
.
Ground states for Schrodinger's equation
.