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Fourier Transform: L^2 Analysis
Explores the Fourier transformation on L^2, emphasizing convergence and density in Fourier analysis.
Functional Analysis I: Norms and Bounded Operators
Explores norms and bounded operators in functional analysis, demonstrating their properties and applications.
Sobolev spaces, Lax-Milgram
Covers Sobolev spaces, Lax-Milgram theorem, embeddings, and Lipschitz boundaries in PDEs.
Maximum and Minimum of Functions
Explores limits, minimum and maximum values of functions, and continuity criteria in a compact set.
Banach Spaces: Reflexivity and Convergence
Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.
Mild Dissipative Surface Dynamics
Explores mild dissipative surface dynamics, including conservative behavior and ergodic functions.
Geometric Series: Convergence and Limit
Explores the convergence and limit of geometric series, demonstrating mathematical properties and applications.
Limit of Functions: Convergence and Boundedness
Explores limits, convergence, and boundedness of functions and sequences.
Definition of Sobolew Spaces
Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.
Convergence of Sequences: Examples and Theorems
Explores the convergence of sequences through examples and theorems.