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Course Descriptions

16:640:508 - Functional Analysis II

Avraham Soffer

Text:

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

Prerequisites:

Real Analysis

Description:

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

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