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Fourier inversion theorem
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Related lectures (30)
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Fourier Transform: Part One
Covers the Fourier Transformation on L^1 and its applications in various contexts.
Fourier Transform: Analysis Tools
Explores Fourier transform analysis tools and the importance of computational intelligence in function transformation.
Fourier Inversion Formula and Plancherel Identity
Covers the Fourier inversion formula and the Plancherel identity, emphasizing their importance in mathematical analysis.
Fourier Equation in 2D
Explores the Fourier equation in 2D for heat conduction in various scenarios, using the separation of variables method.
Thermal Conduction: Basics and Fourier Equation
Explores thermal conduction, Fourier equation, heat flux, and specific heat in steady and unsteady regimes.
Fourier Transformation: Solving Differential Equations
Explores using Fourier transformation to solve differential equations, focusing on a specific example and deriving the solution formula step by step.
Thermal Conduction: Basics
Covers the basics of thermal conduction, including the Fourier equation and heat transfer regimes.
Thermal Conduction: Fourier Equation Simplifications
Covers topics related to thermal conduction and the Fourier equation simplifications.
Inverse Fourier Transform: Verification and Properties
Focuses on the inverse Fourier transform, verification, and properties.
Fourier Transform: L^2 Analysis
Explores the Fourier transformation on L^2, emphasizing convergence and density in Fourier analysis.
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