Functional Analysis I: Norms and Bounded Operators

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Linear Operators: Basis Transformation and Eigenvalues

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Functional Analysis I: Spectral Theorem

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Matrix Representation of Operators and Basis Transformation

Explores the matrix representation of operators and basis transformation in linear algebra.

Linear Operators and Bounded Domains

Covers linear operators and bounded domains, focusing on the existence of such operators in domains with bounded boundaries.

Distributions and Derivatives

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Signal Representations

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The Closed Graph Theorem

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Functional Analysis and Distribution Theory

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Weak Derivatives: Definition and Properties

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