Compact convergence

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Related lectures (32)

Characteristic Functions: Definition and Properties

Covers characteristic functions for random variables and their properties, including independence and convergence.

Periodic Orbits of Hamiltonian Systems

Covers Morse theory, critical points, and Conley-Zehnder index in Hamiltonian systems.

Limits of Sequences

Covers the concept of limits of sequences, including definitions, examples, boundedness, and more.

Weierstrass Theorem: Holomorphic Functions

Covers the Weierstrass theorem regarding sequences of holomorphic functions and uniform convergence over compact sets.

Distributions & Interpolation Spaces

Explores convolution operators, interpolation spaces, and function convergence in different spaces.

Probability Convergence

Explores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.

Methods of Integration of Functions in Several Variables

Explores methods of integrating functions in several variables, emphasizing the importance of regular areas and changing variables to polar coordinates.

Convergence of Sequences

Covers the convergence of sequences and how to calculate limits for convergent sequences.

Approximate Identities in Harmonic Analysis

Explores the concept of approximate identities in harmonic analysis and their applications in mathematical settings.

Introduction to Quantum Chaos

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Preliminaries in Measure Theory

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.

Demonstration of Theorem on Compact Functions

Explores the demonstration of a theorem on compact functions and non-regular boundaries.

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