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Syllabus

Course Number 0510-5002-01
Course Name Functional Analysis
Academic Unit The Iby and Aladar Fleischman Faculty of Engineering -
School of Electrical Engineering
Lecturer Prof. George WeissContact
Contact Email: gweiss@tauex.tau.ac.il
Office Hours By appointmentBuilding: Wolfson - Software Engineerin , Room: 305
Mode of Instruction Lecture
Credit Hours 3
Semester 2021/2
Day Tue
Hours 15:00-18:00
Building Engineering Classrooms
Room 102
Course is taught in English
Syllabus Not Found

Short Course Description

Hours per week: 3

Weight: 3 credit points.

Vector spaces, normed spaces. Metric, continuity, convergence, analytic functions, Cauchy sequences, completeness, compactness, norm, inner product, Banach and Hilbert spaces. Best approximation of a point from a convex set, the projection theorem, the Riesz representation theorem. Introduction to linear operators, boundedness and norm, functionals, adjoint operators, unitary operators, Neumann series, resolvents. Fourier, Laplace and Z transforms. Hardy spaces and Paley-Wiener theorems. Time invariant operators and Foures-Segal theorems. Sampling and the Whittaker-Kotelnikov-Shannon theorem.



Full Syllabus
Course Requirements

Final Exam

Students may be required to submit additional assignments
Full requirements as stated in full syllabus

The specific prerequisites of the course,
according to the study program, appears on the program page of the handbook



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