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Fourier Analysis - Theory and Applications >> Content Detail



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Calendar

LEC #TOPICSKEY DATES
1Introduction
2MeasuresAssignment 1 due (one day after Lecture 2)
3Chebyshev's Inequality
4Law of Large NumbersAssignment 2 due (one day after Lecture 4)
5Measurable FunctionsAssignment 3 due (one day after Lecture 5)
6The Integral
7LinearityAssignment 4 due (one day after Lecture 7)
8Fatou's Lemma
9Integrable FunctionsAssignment 5 due (one day after Lecture 9)
10Bessel's Inequality
11Convergence of Fourier SeriesAssignment 6 due (one day after Lecture 11)
12Completeness
13First In-class Test
14Riesz Representation Theorem
15Schwartz FunctionsAssignment 7 due (one day after Lecture 15)
16Fourier Transform
17ApproximationAssignment 8 due (one day after Lecture 17)
18Harmonic Oscillator
19Completeness of EigenfunctionsAssignment 9 due (one day after Lecture 19)
20Sobolev SpacesAssignment 10 due (one day after Lecture 20)
21Second In-class Test
22Wave Equation
23Bounded Operators
24Compact OperatorsAssignment 11 due (one day after Lecture 24)
25Spectral Theorem
26Hilbert-Schmidt Operators
27Final Exam

 








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