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Course Descriptions

16:640:508 - Functional Analysis II

Avraham Soffer


Functional Analysis by M. Reed and B. Simon, parts I, II. Operator Theory (part 4) by B. Simon, AMS 2016.


Real Analysis


Topics covered will include: review of Hilbert spaces and Operators.

Spectral Theorem for bounded and unbounded Operators.

Compact Operators and Introduction to Spectral Theory: Fredholm Theorem, Weyl, Resolvent Estimates.

Duality, Distributions and Fourier transforms.

All topics will include examples from Partial Differential equations, Mathematical-Physics and Differential Geometry.

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Department of Mathematics

Department of Mathematics
Rutgers University
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