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Multiplier (Fourier analysis)
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Fourier Transform and Schwartz Space
Explores the Fourier transform, Schwartz space, and Riemann-Lebesgue lemma in quantum physics.
DFT example - analysis of musical instruments
Explores the analysis of musical instruments, including pitch, frequency, harmonics, and timbre.
Fourier Transform: Part One
Covers the Fourier Transformation on L^1 and its applications in various contexts.
Fourier Analysis: Inversion Formula
Explores the Fourier inversion formula and the importance of the integral on the half-circle being zero for the method to work.
Differential Operators: Vector Analysis
Covers differential operators, vector analysis, Fourier analysis, and potential fields with applications to gravity.
Ewald Summation: Long-Range Interaction and Self-Interaction Correction
Explains Ewald summation, self-interaction correction, and short-range interaction calculations.
Continuous-time signal processing: Analog LTI filters
Covers the basics of continuous-time signal processing and Fourier analysis in both continuous and discrete time domains.
Signals & Systems I: Fourier Analysis
Explores Fourier analysis, including reconstruction formula, Fourier series, and spectrum interpretation.
Fourier Analysis: Inversion Formula and Periodic Functions
Explores Fourier inversion formula, periodic functions, and methods comparison.
Introduction to Vibratory Mechanics
Covers basic definitions and transformations in vibratory mechanics.