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Lecture
Fundamental Solutions
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Related lectures (29)
Weak Derivatives: Definition and Properties
Covers weak derivatives, their properties, and applications in functional analysis.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Proofs: Logic, Mathematics & Algorithms
Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Linear Independence: The Wronskian Concept
Explains the Wronskian and its role in determining linear independence of solutions to differential equations.
Fourier Inversion Formula
Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.
Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.
Local Homeomorphisms and Coverings
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
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Analysis IV: Convergence Theorems and Integrable Functions
Covers convergence theorems and integrable functions, including the Lebesgue integral and Borel-Cantelli sets.
Zig Zag Lemma
Covers the Zig Zag Lemma and the long exact sequence of relative homology.
Concept of Proof in Mathematics
Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.
Correlations of the Liouville function
Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.
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Geodesic Convexity: Theory and Applications
Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.
Convergence of Fourier Series
Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.
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