Search results “Functional analysis lecture notes”

Lecture 1 in Functional Analysis Series 2012 by Prof. R. Vittal Rao, IISc Bangalore. See Preliminaries for Functional Analysis for class 1 to 14.
Some Lecture Notes you can download: https://drive.google.com/open?id=0B3JG1fcmX71wX2FPXzdCa3F5R1E

Views: 4130
Achi Kundu

Recall definition of atom, Hardy space. Main result: such functions are in Hardy space iff their integrals vanish. Truncated maximal function. Calderon-Zygmund decomposition. Necessary atomic decomposition constructed via Calderon-Zygmund decomposition at all scales.

Views: 689
Winston Ou

Heat kernel; heat operator. Facts about the heat kernel. Fundamental solution of the heat operator. Fundamental solution of a general linear PDE with constant coefficients.

Views: 340
Winston Ou

Fourier coefficients; Fourier series; connection with complex analysis (conjugate function; Cauchy integral); Riesz interpolation; Hausdorff-Young inequality; “three lines” lemma. Note there is an error in the statement of the interpolation theorem: p_i and q_i need not be conjugate exponents.

Views: 591
Winston Ou

Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 118058
nptelhrd

CHECK OUT MY NEW UPDATED VIDEO! https://youtu.be/LciWAfvBZhA
This video takes an in depth look into structural functionalism. In order to make sure you remember all of the important information in the video consider purchasing my guided notes that go with the video. The notes help you focus on the important information and support the channel so I can keep making more free content for you! Click the link below to buy the guided notes! They are only $1.00!
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Views: 58415
Mr. Sinn

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 observations about BMO functions.

Views: 217
Winston Ou

Review: Bounded Convergence Theorem, Fatou's Lemma, Monotone Convergence Theorem, Dominated Convergence Theorem, Radon-Nikodym theorem. Banach spaces: normed vector space; metric; L^p spaces; Holder's inequality; conjugate exponent.

Views: 6109
Winston Ou

Learn more at: http://www.springer.com/978-981-10-0970-9.
Presents results in the basic framework of a normed space and of an inner product space.
Includes a result by Zabreiko, which is used to deduce several major theorems in functional analysis.
Contains 160 exercises of various difficulty levels, and their solutions provided at the end of the book.
Main Discipline: Mathematics

Views: 100
SpringerVideos

Fourier transform of a regular homogeneous distribution is a regular homogeneous distribution. Parametrices and elliptic equations: parametrix; regular parametrix; elliptic operator. Every elliptic operator has a regular parametrix (note error in lecture: instead of -|beta|, should be 2|beta|). Corollary: every operator with a regular parametrix has a parametrix with support in a ball of arbitrarily small radius. Regularity property for elliptic operators.

Views: 255
Winston Ou

The second part of the ninth class in Dr Joel Feinstein's Functional Analysis module covers Normed spaces and Banach spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.

Views: 19008
University of Nottingham

Lecture 1 of Preliminaries for Functional Analysis Series 2012 by Prof. R. Vittal Rao, IISC Bangalore
Some Lecture Notes you can download: https://drive.google.com/open?id=0B3JG1fcmX71wX2FPXzdCa3F5R1E

Views: 1195
Achi Kundu

The second class in in Dr Joel Feinstein's Functional Analysis module covers complete metric spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
See playlist for more videos in this series:
https://www.youtube.com/watch?v=7IIw_U8rv4Q&list=PL554B877A872B4F94

Views: 19755
University of Nottingham

Applied Functional Analysis taught by Dr. Greg Morrow from UCCS. An introduction to the basic concepts, methods and applications of functional analysis. Topics covered will include metric spaces, normed spaces, Hilbert spaces, linear operators, spectral theory, fixed point theorems and approximation theorems

Views: 52437
UCCSMathOnline

Google drive link---
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Functional Analysis IIT Guwahati Class notes and problems
functional analysis iitg

Views: 23
Mon Ja Chai

Learn more at: http://www.springer.com/978-1-4471-7279-6.
A complete, self-contained introduction to linear functional analysis.
Includes topics such as operator theory, distributions, Sobolev spaces.
Features many solved exercises.
Main Discipline: Mathematics

Views: 166
SpringerVideos

Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/

Views: 50171
HarveyMuddCollegeEDU

The first class in in Dr Joel Feinstein's Functional Analysis module covers introductory material on totally ordered sets and partially ordered sets.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com/
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
See playlist for more videos in this series:
https://www.youtube.com/watch?v=7IIw_U8rv4Q&list=PL554B877A872B4F94

Views: 61826
University of Nottingham

Lecture with Ole Christensen. Kapitler: 00:00 - Banach Spaces; 06:30 - Cauchy Sequences; 12:00 - Def: Banach Space; 15:45 - Examples; 17:15 - C[A,B] Is Banach With Proof; 36:30 - Ex: Sequence Space L^1(N); 46:45 - Sequence Space L^p(N);

Views: 59692
DTUdk

Functional analysis is the branch of mathematics dealing with spaces of functions. It is a valuable tool in theoretical mathematics as well as engineering. It is at the very core of numerical simulation.
In this class, I will explain the concepts of convergence and talk about topology. You will understand the difference between strong convergence and weak convergence. You will also see how these two concepts can be used.
You will learn about different types of spaces including metric spaces, Banach Spaces, Hilbert Spaces and what property can be expected. You will see beautiful lemmas and theorems such as Riesz and Lax-Milgram and I will also describe Lp spaces, Sobolev spaces and provide a few details about PDEs, or Partial Differential Equations.
Workload: 4-6 hours/week
Taught In: English
Subtitles Available In: English
Mooc available at: https://www.coursera.org/course/functionalanalysis

Views: 18809
CentraleSupélec

Functional Analysis in Hindi Urdu LECTURE IN URDU ,IN URD ,IN HINDI ,VU
For All leture Watch Click following link
https://www.youtube.com/c/VirtualComsats1
Good news for student now you can watch our video by using mobile just install app by using blow link
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Views: 76
Virtual Comsats

I motivated the introduction of function spaces by an elementary discussion of motions as continuous functions, and sketched how various constructions that have appeared in lectures (e.g. products, quotients) naturally arise in this setting.
Lecture notes: http://therisingsea.org/notes/mast30026/lecture12.pdf
The class webpage: http://therisingsea.org/post/mast30026/

Views: 62
Daniel Murfet

Some Basic Fundamentals before starting complex analysis, Unit- I of Engineering Mathematics-III

Views: 317164
Bhagwan Singh Vishwakarma

Is video main bhi metric space k dusre concepts and questions ke sath deal kaise kiya jaye...ye btaya gya h
Ismain Jo question liya gya h vo kuch is tarah h....do alag function h Jo ki already metric space h.ab hmain btana h ki jb un dono function ko jod de..to Jo naya function bnage vo bhi metric space hoga
Thanks for watching
GAYATRI education classes
GAYATRIeducationclasses

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GAYATRI education classes

Companion lecture for Openstax Introduction to Sociology Edition 2, Chapter 1: Sociological Theory. Discussion includes Macro-Micro perspectives, and Functional, Conflict, Interaction and Feminist Theories.

Views: 31977
Debra Marshall

Selected Topics in Mathematical Physics by Prof. V. Balakrishnan,Department of Physics,IIT Madras.For more details on NPTEL visit http://nptel.ac.in

Views: 248872
nptelhrd

Click on this link to download the lecture notes:

Views: 12248
Jeff Everhart

There are many Lipschitz equivalent metrics on Euclidean space, apart from the sup-metric (which we have successfully generalised to function spaces) there are also metrics defined using sums. To generalise those, we need integrals, and the resulting theory leads to Banach spaces. In this lecture I defined normed spaces and proved that the L^p-norm is indeed a norm, on the space of real (or complex) valued functions on a compact Hausdorff space equipped with an integral.
Lecture notes: http://therisingsea.org/notes/mast30026/lecture18.pdf
The class webpage: http://therisingsea.org/post/mast30026/

Views: 101
Daniel Murfet

Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 41351
nptelhrd

The axiomatic description of a metric space is given.

Views: 85620
Ben1994

Dr. Brian Iwata discusses functional analysis of problem behavior. See video index at: http://wmich.edu/autism/functional-analysis

Views: 68307
Autism Center of Excellence

NOTE: On April 2, 2018 I updated this video with a new video that goes, step-by-step, through PCA and how it is performed. Check it out!
https://youtu.be/FgakZw6K1QQ
RNA-seq results often contain a PCA or MDS plot. This StatQuest explains how these graphs are generated, how to interpret them, and how to determine if the plot is informative or not. I've got example code (in R) for how to do PCA and extract the most important information from it on the StatQuest website: https://statquest.org/2015/08/13/pca-clearly-explained/
For a complete index of all the StatQuest videos, check out:
https://statquest.org/video-index/
If you'd like to support StatQuest, please consider a StatQuest t-shirt or sweatshirt...
https://teespring.com/stores/statquest
...or buying one or two of my songs (or go large and get a whole album!)
https://joshuastarmer.bandcamp.com/

Views: 366963
StatQuest with Josh Starmer

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SOURAV SIR'S CLASSES

Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/

Views: 78839
HarveyMuddCollegeEDU

LECTURE IN URDU ,IN URD ,IN HINDI ,VU
For All leture Watch Click following link
https://www.youtube.com/c/VirtualComsats1
Good news for student now you can watch our video by using mobile just install app by using blow link
https://play.google.com/store/apps/developer?id=Next+Vision+Apps

Views: 765
Virtual Comsats

Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/

Views: 82660
HarveyMuddCollegeEDU

I began by proving the universal property of the completion of a normed space. I then discussed characterisations of finite-dimensionality for vector spaces, introduced the continuous linear dual for normed spaces and the operator norm, and stated the duality theorem or L^p spaces which says that the continuous linear dual of L^p is L^q, where q is the dual exponent. I ended by describing Hilbert spaces as "self-dual" normed spaces.
Lecture notes: http://therisingsea.org/notes/mast30026/lecture19.pdf
The class webpage: http://therisingsea.org/post/mast30026/

Views: 84
Daniel Murfet

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© 2018 Articles on language teaching and learning

Pool Accessary Options. Types of Pool Water Sanitation. There are a variety of pool water treatment options beyond the traditional chlorine, although it remains the most popular option. Chlorine is added to a pool to combat algae or other bacteria that can gather in the water. Chlorinated water relies on a proper pH balance to prevent an overly chemical-smelling pool. While saline pools, also known as saltwater pools, are not chlorine-free, they consist of a salt-chlorine generator that produces lower levels of chlorine. Mineral water pools are chlorine-free and use disinfecting minerals to prevent bacteria and algae. Pool Maintenance.