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).
Waves and Particles B1 Compton Effect
Momentum of a photon and the Compton effect.
From playlist Physics - Wave Particle Duality
Waves and Particles B3 Compton Effect and De Broglie Wavelength
The Compton effect and De Broglie wavelength.
From playlist Physics - Wave Particle Duality
Waves and Particles C1 Schrodinger Equation
The Schrodinger wave equation
From playlist Physics - Wave Particle Duality
Waves and Particles B2 Compton Effect and De Broglie Wavelength.wmv
The Compton effect and De Broglie wavelength.
From playlist Physics - Wave Particle Duality
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
Definition of V** (double dual) and an amazing miracle Dual Space Definition: https://youtu.be/OGO3HGlOQO4 Dual Spaces Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCs0fJDQnXgeuyFR8iQDwLV Subscribe to my channel: https://www.youtube.com/c/drpeyam
From playlist Dual Spaces
Waves and Particles B4 De Broglie Wavelength
The quantum mechanical model of the atom.
From playlist Physics - Wave Particle Duality
Waves 2_15 Superposition of Waves and Interference
The interference of identical waves
From playlist Physics - Waves
Hans Feichtinger: Wavelet theory, coorbit spaces and ramifications
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist 30 years of wavelets
Uniform p-adic wave front sets and zero loci of function ...- R.Cluckers - Workshop 2 - CEB T1 2018
Raf Cluckers (CNRS – Université de Lille & KU Leuven) / 08.03.2018 Uniform p-adic wave front sets and zero loci of functions of C exp-class. I will recall some concrete parts of the course on motivic integration given at the IHP by Halupczok, and use it to define distributions of Cexp cl
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
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
Hans Feichtinger: Fourier Analysis via the Banach Gelfand Triple
The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In this MATLAB-based presentation the author will explain how one can understand and illustrate the foundations of Gabor analysis with the help of MATLAB. From the point of view
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
Houman Owhadi: "On interplays between stochastic and numerical analysis"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "On interplays between stochastic and numerical analysis" Houman Owhadi - California Institute of Technology, ACM Abstract: Although numerical approximation and statistical inferen
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Rob Stevenson: Convergence theory of adaptive finite element methods (AFEM)
Details of the proof of convergence of AFEM applied to elliptic PDEs will be presented. We introduce approximation classes, and prove that AFEMs converge with the best possible rate. The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Winter S
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Angela Kunoth: 25+ Years of Wavelets for PDEs
Abstract: Ingrid Daubechies' construction of orthonormal wavelet bases with compact support published in 1988 started a general interest to employ these functions also for the numerical solution of partial differential equations (PDEs). Concentrating on linear elliptic and parabolic PDEs,
From playlist Numerical Analysis and Scientific Computing
Emmanuel Candès: Wavelets, sparsity and its consequences
Abstract: Soon after they were introduced, it was realized that wavelets offered representations of signals and images of interest that are far more sparse than those offered by more classical representations; for instance, Fourier series. Owing to their increased spatial localization at f
From playlist Abel Lectures
Structured Regularization Summer School - C. Fernandez-Granda - 20/06/2017
Carlos Fernandez-Granda (NYU): A sampling theorem for robust deconvolution Abstract: In the 70s and 80s geophysicists proposed using l1-norm regularization for deconvolution problem in the context of reflection seismology. Since then such methods have had a great impact in high-dimensiona
From playlist Structured Regularization Summer School - 19-22/06/2017
Rob Stevenson: Adaptive wavelet methods and applications
We show how bases for Sobolev spaces on general domains can be built from wavelets. These bases can be used for the optimal adaptive solution of well-posed linear and nonlinear operator equations. We discuss various applications including those to time-dependent PDEs. If time permits, then
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
A Promenade in Time-Frequency Analysis - Kasso Okoudjou
CAARMS Topic: A Promenade in Time-Frequency Analysis Speaker: Kasso Okoudjou Affiliation: MIT& University of Maryland Date: July 12, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
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