Lectures related to Inverse Laplace transform

Trigonometric Polynomials: Fourier Inversion and Plancherel Formulas

Explores trigonometric polynomials, emphasizing Fourier inversion and Plancherel formulas.

Fourier and Laplace Transforms: Concepts and Applications

Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Fourier Transform: Derivatives and Formulas

Explores Fourier transform properties with derivatives, crucial for solving equations, and introduces the Laplace transform for signal transformation.

Fourier Transform: Inversion Formula

Explores the Fourier Transform inversion formula and its applications in signal processing.

Viscoelastic Materials: Models and Transformations

Explores viscoelastic materials, transforms, and models in materials science.

Introduction to the Laplace Transform

Covers the Laplace Transform, LTI systems, Fourier Transforms, and properties.

Vibratory Mechanics: QCMs Week 12

Covers topics related to vibratory mechanics, including free and forced oscillations.

Analog Circuits and Systems: The Laplace Transform

Covers the basics and applications of the Laplace transform in analyzing linear analog circuits.

Laplace Transform: Basics and Properties

Covers the basics of the Laplace transform, properties, and applications to LTI systems, including transfer function and frequency response.

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.

Linear Time Invariant Systems

Covers LTI systems, impulse response, convolution, Fourier Transform, and system characterization.

Vibratory mechanics: course overview

Provides an overview of Vibratory Mechanics course plan and interactive session instructions.

Fourier Transform: Derivatives and Laplace Transform

Explores the Fourier transform properties with derivatives and introduces the Laplace transform for signal transformation and solving differential equations.

Explores self-similar solutions, Fourier transform, Laplace transform, and Gaussian error function.

Harmonic Analysis: Schwerte Functions

Explores Schwerte functions in harmonic analysis, emphasizing compact support and function convergence.

Poisson Problem: Fourier Transform Approach

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Region of Convergence: Properties and Laplace Transform

Covers the concept of Region of Convergence (ROC) and Laplace transform properties.

Stokes first problem: hydrodynamic separation of variables

Explores the application of separation of variables in hydrodynamics and the concept of self-similarity.