**Office Hours** Th 3:10-4pm at Room 3131 Math Science Building

**Email** bhzhou AT ucdavis DOT edu

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Week 1: Reproducing Kernel Hilbert Space and dual norm of the space of measures Week1

Week 2: Measure space, Why we need Sigma-algebra Week2

Week 3: Borel measurable function V.S. Lebesgue measurable function, and measurable function Week3

Week 4: Absent due to out of town. Working for making-up notes

Week 5: Fourier Series for functions Week5

Week 6: An introduction to Sobolev space Week6

Week 7: Bounded linear operators on Hilbert space Week7

Week 8: The space of bounded linear operators on Hilbert space and its topology Week8

Week 9: The resolvent set and the spectrum of bounded linear operators on Hilbert space Week9

Week 10: The compact, self-adjoint operators on any separable Hilbert space Week10