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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.

Sections Taught This Semester:

For more information on instructors and sections for this course, please see our Teaching Schedule Page

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
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