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Related lectures (30)
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Generalized Integrals: Definition and Applications
Covers the definition and applications of generalized integrals in advanced analysis, including real functions, differential equations, and multiple integrals.
Exposition des trois types
Covers the exposition of the three types of generalized integrals and their combinations.
Stone-Weierstrass Theorem
Explores the Stone-Weierstrass theorem, proving uniform density of specific function families on compact sets.
Quadratic Forms and Hecke Operators
Explores quadratic forms, Hecke operators, eigenvalues, and compactly supported functions in matrix theory.
Examples of Generalized Integrals
Explores examples of generalized integrals, including techniques like integration by parts and change of variable.
The Issue with Riemann Integral
Explores the incompleteness of Cc(RN, K) and the challenges of Riemann integrability.
Preliminaries in Measure Theory
Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.
Generalized Integrals: Bounded Interval
Introduces generalized integrals on a bounded interval, discussing convergence, divergence, comparison criteria, variable substitution, and corollaries.
Transforms Properties
Covers the properties of transforms and their applications in mathematics.
Generalized Integrals: Simplified Concepts
Explains generalized integrals with simplified concepts, convergence criteria, and variable changes in integration.
