Carleson's theorem is a fundamental result in mathematical analysis establishing the pointwise (Lebesgue) almost everywhere convergence of Fourier series of L2 functions, proved by Lennart Carleson. The name is also often used to refer to the extension of the result by Richard Hunt to Lp functions for p ∈ (1, ∞] (also known as the Carleson–Hunt theorem) and the analogous results for pointwise almost everywhere convergence of Fourier integrals, which can be shown to be equivalent by transference methods. (Wikipedia).
Jacobian chain rule and inverse function theorem
A lecture that discusses: the general chain rule for the Jacobian derivative; and the inverse function theorem. The concepts are illustrated via examples and are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
A central limit theorem for Gaussian polynomials...... pt2 - Anindya De
Anindya De Institute for Advanced Study; Member, School of Mathematics May 13, 2014 A central limit theorem for Gaussian polynomials and deterministic approximate counting for polynomial threshold functions In this talk, we will continue, the proof of the Central Limit theorem from my las
From playlist Mathematics
Lennart Carleson: A Scandinavian Chapter in Analysis
This lecture was held by Abel Laureate Lennart Carleson at The University of Oslo, May 24, 2006 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2006 1. “A Scandinavian Chapter in Analysis” by Lennart Carleson
From playlist Abel Lectures
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Lennart Carleson - The Abel Prize interview 2006
0:00 Glimpses of the Abel Prize ceremony made for Norwegian television 05:00 Interview proper starts (Norwegian) 07:46 (English) Almost-everywhere convergence of Fourier series for square-integrable (L^2) functions 10:08 Interesting example of need to have conviction about outcome before c
From playlist The Abel Prize Interviews
Evaluate the integral with e as the lower bound
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Learn to evaluate the integral with functions as bounds
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
How to Compute a Maclaurin Polynomial
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook What is a Maclaurin polynomial? In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point
From playlist A second course in university calculus.
Johanna Franklin: Carleson's Theorem and Schnorr randomness
Recording during the thematic meeting : "Computability, Randomness and Applications" the June 21, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's A
From playlist Logic and Foundations
LEGO Minifigure-Scale Airbus A380 Airplane! (40,000+ Bricks!)
We're so excited to reconnect with LEGO builder Jack Carleson at Bricks by the Bay to check out his massive 40,000+ brick Airbus A380 airliner. This minifigure-scale recreation of the world's largest passenger airliner is an engineering marvel: completely freestanding and equipped with mot
From playlist Toys, Models and Collectibles
Po Lam Yung: A new twist on the Carleson operator
The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 16.7.2014
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Hyperbolicity and Physical Measures (Lecture 2) by Stefano Luzzatto
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Yves Meyer - The Abel Prize interview 2017
0:27 Personal Journey and choosing Mathematics 6:04 Thesis on harmonic analysis in Strasbourg 9:00 Number Theory and Quasicrystals 12:24 Meyer set 14:22 Connection with Quasicrystals more specifically 16:49 Calderón’s Conjecture w/ Coifman and McIntosh 23:44 Wavelets 28:09 Strömberg and th
From playlist The Abel Prize Interviews
Second ftc example with cube root
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Second FTC example with cube root
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Oded Schramm: Conformally Invariant Random Processes
This lecture was held at The University of Oslo, May 24, 2006 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2006 1. “A Scandinavian Chapter in Analysis” by Lennart Carleson, Kungliga Tekniska Högskolan, Swede
From playlist Abel Lectures
Lai-Sang Young: A mathematical Theory of Strange Attractors
This lecture was held at The University of Oslo, May 24, 2006 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2006 1. “A Scandinavian Chapter in Analysis” by Lennart Carleson, Kungliga Tekniska Högskolan, Swed
From playlist Abel Lectures
Sun-Yung Alice Chang: Conformal Invariants and Differential Equations
This lecture was held at The University of Oslo, May 24, 2006 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2006 1. “A Scandinavian Chapter in Analysis” by Lennart Carleson, Kungliga Tekniska Högskolan, Swed
From playlist Abel Lectures
Central Limit Theorem Definition
A quick definition of what the Central Limit Theorem is all about.
From playlist Normal Distributions