Functional Analysis Lecture 12 2014 03 04 Boundedness of Hilbert Transform on Hardy Space (part 1)
Dyadic Whitney decomposition needed to extend characterization of Hardy space functions to higher dimensions. p-atoms: definition, have bounded Hardy space norm; p-atoms can also be used in place of atoms to define Hardy space. The Hilbert Transform is bounded from Hardy space to L^1: b
From playlist Course 9: Basic Functional and Harmonic Analysis
Functional Analysis Lecture 02 2014 01 23 L^p spaces are complete; Dual spaces
L^p spaces: triangle inequality; L^infinity is a Banach space; L^p spaces are complete; Holder continuous functions. Dual Banach spaces: linear functionals, bounded linear functional; continuity;
From playlist Course 9: Basic Functional and Harmonic Analysis
Functional Analysis - Part 1 - Metric Space
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Watch the whole series: https://tbsom.de/s/fa Functional analysis series: https://www.youtube.com/playlist?list=PLBh2i93oe2qsGKDOsuVVw-OCAfprrnGfr PDF versions
From playlist Functional analysis
Complete metric space: example & proof
This video discusses an example of particular metric space that is complete. The completeness is proved with details provided. Such ideas are seen in branches of analysis.
From playlist Mathematical analysis and applications
Functional Analysis Lecture 13 2014 03 061 Boundedness of Hilbert Transform on Hardy Space (part 2)
Finishing the proof: going from atoms to Hardy space functions. Hardy space and maximal functions: maximal function associated with a function of compact support; boundedness of such maximal functions from Hardy space into L^1. Functions of bounded mean oscillation (BMO). Basic observat
From playlist Course 9: Basic Functional and Harmonic Analysis
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
What is a Vector Space? (Abstract Algebra)
Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science. In this lesson we talk about the definition of a vector space and give a few surprising examples. Be sure to su
From playlist Abstract Algebra
What is a metric space? An example
This is a basic introduction to the idea of a metric space. I introduce the idea of a metric and a metric space framed within the context of R^n. I show that a particular distance function satisfies the conditions of being a metric.
From playlist Mathematical analysis and applications
Lecture 14: Basic Hilbert Space Theory
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=EBdgFFf54U0&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Wavelets And Multiresolution Analysis Part 1
Lecture with Ole Christensen. Kapitler: 00:00 - Repetition ; 06:00 - The Key Step (Prop 8.2.6); 29:00 - Construction Of The Wavelet (Thrm 8.2.7); 36:00 - More On The Wavelet (Prop. 8.2.8); 45:00 - Conciderations Concerning Applications;
From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math
The Fourier Transform And Wavelets Part 2
Lecture with Ole Christensen. Kapitler: 00:00 - Wavelets; 03:00 - Preliminaries; 10:30 - Def.: Wavelet; 23:00 - Multiresolution Analysis; 32:00 - Lemma 8.2.2;
From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math
Unfolding Method and Homogenization (Lecture 4) by Daniel Onofrei
PROGRAM: MULTI-SCALE ANALYSIS AND THEORY OF HOMOGENIZATION ORGANIZERS: Patrizia Donato, Editha Jose, Akambadath Nandakumaran and Daniel Onofrei DATE: 26 August 2019 to 06 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Homogenization is a mathematical procedure to understa
From playlist Multi-scale Analysis And Theory Of Homogenization 2019
CTNT 2022 - p-adic Fourier theory and applications (by Jeremy Teitelbaum)
This video is one of the special guess talks or conference talks that took place during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. Note: not every special guest lecture or conference lecture was recorded. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - Conference lectures and special guest lectures
Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single fu
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
16 2 Bloom Filters Heuristic Analysis 13 min
From playlist Algorithms 1
Lecture 2: Bounded Linear Operators
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=78vN4sO7FVU&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Lecture 16: Fejer’s Theorem and Convergence of Fourier Series
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=8IxHMVf3jcA&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
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"
Lecture 3: Quotient Spaces, the Baire Category Theorem and the Uniform Boundedness Theorem
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=58B5dEJReQ8&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Functional Analysis - Part 1 - Metric Space [dark version]
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Watch the whole series: https://tbsom.de/s/fa Functional analysis series: https://www.youtube.com/playlist?list=PLBh2i93oe2qsGKDOsuVVw-OCAfprrnGfr PDF versions
From playlist Functional Analysis [dark version]