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Dirac delta function
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Related lectures (32)
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Convolution and Fourier Transform
Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.
Quadratic Forms and Hecke Operators
Explores quadratic forms, Hecke operators, eigenvalues, and compactly supported functions in matrix theory.
The DTFT as a change of basis
Explores the DTFT as a change of basis, localizing functions, and the Dirac delta functional.
Fourier Pairs: Continuous-Time Transform
Explores Fourier pairs in continuous-time Fourier transform for signal analysis.
Preliminaries in Measure Theory
Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.
Postulates of Quantum Mechanics
Introduces the postulates of Quantum Mechanics, focusing on states in a Hilbert space and the role of observables.
Domain Defined by Level Leagues
Explores domains defined by level leagues and double integrals over such domains.
The Issue with Riemann Integral
Explores the incompleteness of Cc(RN, K) and the challenges of Riemann integrability.
The Sampling Theorem
Covers the sampling theorem, impulse train sampling, bandlimited signals, and the Nyquist rate.
Fourier Transform: Basics and Examples
Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.