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Lecture
Fourier Series: Theory and Applications
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Related lectures (27)
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Fourier Series: Convergence and Dirichlet Theorem
Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.
Fourier Series: Convergence and Coefficients
Explores Fourier series convergence and coefficient calculations through examples and derivations.
Vibration of Diatomic Molecules
Explores the vibration of diatomic AB molecules and Fourier series, emphasizing equations of motion and Dirichlet's theorem.
Vector Representation of Signals
Explores the vector representation of signals, orthogonal functions, and Fourier series.
Fourier Series: Properties and Calculations
Explores Fourier series properties, calculations, convergence, and coefficient significance.
Fourier Series: Odd and Even Functions
Explores odd and even functions in Fourier series applications, including half-range series and cosine/sine series.
Fourier Series Interpretation
Explores the interpretation of Fourier series from basic to complex signals, demonstrating the concept through animations and explaining the relationship between sine waves and circles.
Pointwise Convergence of Fourier Series
Explores the pointwise convergence of Fourier series and its applications in optimal transport.
Fourier Series: Approximation and Transformations
Covers the concept of Fourier series and their practical applications in signal processing.
Convergence of Fourier Series
Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.