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Hilbert Spaces, Convex Sets and Projections, Orthonormal Systems, Examples, Normal Spaces. Bounded Operators, Adjoint Space, Hahn-banach Theorem in Hilbert Space, Riesz Theorem. Fourier Series, Fourier and Laplace Transforms, Integral Operators, Min-max, Hilbert-schmidt-mercer Theorems. Functions of Compact Operators, Dirichlet Problems. Applications.

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

(104066 - Algebra A and 104142 - Int. to Metric and Topological Space) or (104142 - Int. to Metric and Topological Space and 104166 - Algebra Am)

Course with no extra credit

104221 - Complex Functions and Integral Transform 104223 - Partial Differen.equa.and Fourier Series

Course with no extra credit (contained)

104214 - Fourier Series and Integral Transforms

Course with no extra credit (contains)

104273 - Int.to Functional and Fourier Analysis

• A first course in functional analysis - Shalit, Orr Moshe
• Basic Classes of Linear Operators - Gohberg, Israel.
• Basic operator theory - Gohberg, Israel
• Basic Operator Theory - Gohberg, Israel.
• Functional analysis : an introduction - Eidelman, Yuli,
• Functional analysis : an introduction - Eidelman, Yuli,
• Functional Analysis An Introduction - Eidelman, Yuli.
• אנליזה פונקציונלית : מרחבי הילברט ובנך - ווייס, בנימין,