In mathematics, coorbit theory was developed by Hans Georg Feichtinger and Karlheinz Gröchenig around 1990. It provides theory for atomic decomposition of a range of Banach spaces of distributions. Among others the well established wavelet transform and the short-time Fourier transform are covered by the theory. The starting point is a square integrable representation of a locally compact group on a Hilbert space , with which one can define a transform of a function with respect to by . Many important transforms are special cases of the transform, e.g. the short-time Fourier transform and the wavelet transform for the Heisenberg group and the affine group respectively. Representation theory yields the reproducing formula . By discretization of this continuous convolution integral it can be shown that by sufficiently dense sampling in phase space the corresponding functions will span a frame for the Hilbert space. An important aspect of the theory is the derivation of atomic decompositions for Banach spaces. One of the key steps is to define the voice transform for distributions in a natural way. For a given Banach space , the corresponding coorbit space is defined as the set of all distributions such that . The reproducing formula is true also in this case and therefore it is possible to obtain atomic decompositions for coorbit spaces. (Wikipedia).
Trigonometry 5 The Cosine Relationship
A geometrical explanation of the law of cosines.
From playlist Trigonometry
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
Mysterious Satellite Captured on Camera: The UnXplained (Season 3)
While constructing the international space station, astronauts capture a strange object on camera, which raises suspicions around the world. See more in this clip from Season 3, "The Search For Extraterrestrial Life." Watch all new episodes of The UnXplained, streaming now, on The HISTORY
From playlist The UnXplained: Official Series Playlist | History
Physics 35 Coulomb's Law (1 of 8)
Visit http://ilectureonline.com for more math and science lectures! In this three part lecture, I will introduce you to Coulomb's law, which describes the electric force between two charged particles or objects. It's format is similar to Newton's law of gravity, though Coulomb's constant
From playlist MOST POPULAR VIDEOS
Interview at CIRM : Hans-Georg Feichtinger
INTERVIEW The Jean Morlet Chair is a scientific collaboration between CIRM -CNRS-SMF-, Aix-Marseille Université and the City of Marseille. Two international calls are launched every year to attract innovative researchers in an area of mathematical sciences. Selected candidates who must co
From playlist Jean-Morlet Chair's holders - Interviews
Trigonometry 7 The Cosine of the Sum and Difference of Two Angles
A geometric proof of the cosine of the sum and difference of two angles identity.
From playlist Trigonometry
What is a Coulomb? An Explanation
Gives a comprehensive description of what coulomb is. Includes three worked examples; how to calculate the number of electrons in a coulomb, number of electrons in a given amount of charge and charge from a given number of electrons. You can see a listing of all my videos at my website,
From playlist Electricity and Magnetism
Coulomb's Law (3 of 7) Force Between Two One Coulomb Charges
Using Coulomb's law shows how to calculate the electric force between two 1 Coulombs charges that are separated by a distance of 1 meter. Coulomb's law states that the magnitude of the force between two point charges is directly proportional to the product of the magnitudes of charges and
From playlist Coulomb's Law and the Electric Force
Coulomb's Law (2 of 7) Calculate the Force Between Two Charges
Using Coulomb's law shows how to calculate the magitude and direction of the electric force between two charged particles. Coulomb's law states that the magnitude of the force between two point charges is directly proportional to the product of the magnitudes of charges and inversely propo
From playlist Coulomb's Law and the Electric Force
Covariance (1 of 17) What is Covariance? in Relation to Variance and Correlation
Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between the variance and the covariance. A variance (s^2) is a measure of how spread out the numbers of
From playlist COVARIANCE AND VARIANCE
Physics 35 Coulomb's Law (3 of 8)
Visit http://ilectureonline.com for more math and science lectures! In this three part lecture, I will introduce you to Coulomb's law, which describes the electric force between two charged particles or objects. It's format is similar to Newton's law of gravity, though Coulomb's constant
From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3
Physics 12.2.1a - Coulomb`s Law
An explanation of Coulomb's Law. From the physics course by Derek Owens. The distance learning course is available at http://www.derekowens.com
From playlist Physics - Electric Charge
Anna Marie Bohmann: Assembly in the Algebraic K-theory of Lawvere Theories
Talk by Anna Marie Bohmann in Global Noncommutative Geometry Seminar (Americas), https://globalncgseminar.org/talks/tba-30/, on April 29, 2022.
From playlist Global Noncommutative Geometry Seminar (Americas)
Have We Really Found The Theory Of Everything?
Start using AnyDesk, the blazing-fast Remote Desktop Software, today at https://anydesk.com/en/downloads/windows?utm_source=brand&utm_medium=youtube&utm_campaign=hotu&utm_content=yt-sponsoring&utm_term=en -------------------------------------------------- Written by Joseph
From playlist The Entire History of the Universe
David Gross: Quantum Field Theory - Past Present Future
Invited talk at the Conference in Honour of the 90th Birthday of Freeman Dyson, Institute of Advanced Studies, Nanyang Technological University, Singapore, 26-29 August 2013 http://www.ntu.edu.sg/ias/upcomingevents/FMDS/Pages/default.aspx
From playlist Quantum Field Theory
SQCD and Pairs of Pants by Shlomo Razamat
PROGRAM QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
1. Introduction to Effective Field Theory (EFT)
MIT 8.851 Effective Field Theory, Spring 2013 View the complete course: http://ocw.mit.edu/8-851S13 Instructor: Iain Stewart In this lecture, the professor discussed EFT of Hydrogen, top-down and bottom-up, and renormalizable EFT. License: Creative Commons BY-NC-SA More information at ht
From playlist MIT 8.851 Effective Field Theory, Spring 2013
Simplifying String Theory by Rajesh Gopakumar, ICTS
Science at ICTS URL: https://www.icts.res.in/science-at-icts Date: 20 June 2015 Venue: ICTS-TIFR Campus DESCRIPTION : - This event marks the inauguration of the Campus of the International Centre for Theoretical Sciences of TIFR. The academic program will consist of lectures in tradit
From playlist Science at ICTS
Coulomb's Law (1 of 7) An Explanation
An explanation of coulombs law, the equation and the forces on charged particles. Coulomb's law states that the magnitude of the force between two point charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance bet
From playlist Coulomb's Law and the Electric Force
The Role of Theory in Science - David Gross
Speaker : David Gross (KITP, Santa Barbara) Date and Time : 28 Dec 2009, 05:30 PM Venue : J. N. Tata Auditorium, IISc, Bangalore On the occasion of the inauguration of the International Centre for Theoretical Sciences, TIFR, I shall share some of my observations and conclusions as to the
From playlist Public Lectures