Wavelets | Duality theories

Dual wavelet

In mathematics, a dual wavelet is the dual to a wavelet. In general, the wavelet series generated by a square-integrable function will have a dual series, in the sense of the Riesz representation theorem. However, the dual series is not itself in general representable by a square-integrable function. (Wikipedia).

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From playlist Physics - Wave Particle Duality

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Waves and Particles B3 Compton Effect and De Broglie Wavelength

The Compton effect and De Broglie wavelength.

From playlist Physics - Wave Particle Duality

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What is the Wave/Particle Duality? Part 1

Tweet it! - http://bit.ly/rqSUwR Facebook it! - http://on.fb.me/oRhE5d Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute! In this episode, we discuss the Wave Particle Duality and why quantum mechanics is weirder than anyt

From playlist Quantum Physics

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From playlist Dual Spaces

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From playlist Physics - Wave Particle Duality

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From playlist Physics - Waves

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From playlist 30 years of wavelets

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From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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In this video, I show a very neat result about dual spaces: Namely, any basis of V* is automatically a dual basis of some basis of V. Even though this result is very interesting, it's the proof that makes this very exciting, by simply using the fact that V and V** are 'very' isomorphic. En

From playlist Dual Spaces

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From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

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Houman Owhadi: "On interplays between stochastic and numerical analysis"

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From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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From playlist HIM Lectures: Trimester Program "Multiscale Problems"

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From playlist Numerical Analysis and Scientific Computing

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Emmanuel Candès: Wavelets, sparsity and its consequences

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From playlist Abel Lectures

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Structured Regularization Summer School - C. Fernandez-Granda - 20/06/2017

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From playlist Structured Regularization Summer School - 19-22/06/2017

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Rob Stevenson: Adaptive wavelet methods and applications

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From playlist HIM Lectures: Trimester Program "Multiscale Problems"

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From playlist Mathematics

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Dual basis

Dual basis definition and proof that it's a basis In this video, given a basis beta of a vector space V, I define the dual basis beta* of V*, and show that it's indeed a basis. We'll see many more applications of this concept later on, but this video already shows that it's straightforwar

From playlist Dual Spaces

Related pages

Square-integrable function | Multiresolution analysis | Dense set | Orthogonal wavelet | Mathematics | Function (mathematics) | Dual space | Riesz representation theorem | Wavelet | Kronecker delta