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Class 15 - Functional Analysis
 
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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
Functional Analysis Lecture 11 2014 02 27 L^p  functions of bounded support in Hardy space
 
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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
Functional Analysis Lecture 19 2014 04 03 : Fundamental Solution of the Heat Operator
 
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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
Functional Analysis Lecture 06 2014 02 06 Riesz Interpolation Theorem, Part 1
 
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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
Mod-01 Lec-01 Metric Spaces with Examples
 
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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
Theoretical Perspectives: Structural Functionalism
 
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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! Click here to purchase the guided notes: https://goo.gl/X2uNKy Link to guided notes: (Current students only) https://docs.google.com/document/d/1ZEvQpkdzmAGao3QGUZM_U2toKreo2v4Ue_zPIjKE8TE/edit?usp=sharing Subscribe and hit the bell to see a new videos. Subscribe here ►https://goo.gl/7sNYbR ***Information on the Guided Notes *** 1. What are guided notes? - Guided notes are worksheets that have been made to follow along with the video. They are to help you remember what you learn and help you review the content in the video. 2. Why do I have to pay for them? - Unfortunately, these videos are not free for me to make and take a considerable time to make. While I understand that it is never fun to spend money, know that by spending just a couple dollars you help support the channel and make it possible for me (Mr. Sinn) to keep producing more content! 3. What happens after I pay on paypal? - Once you purchase the guided notes for a video you will be able to download the guided notes right away! 4. Can I share the guided notes with others? - If you purchase the guided notes they are only for your use. So please do not share the notes or post them online, this only hurts the channel and will make it so I can not keep offering free videos or cheap guided notes. 5. What if I want to purchase the notes for my class? - You can do that! Please feel free to email me and we can set up a deal that works for you and your school's budget.
Views: 58415 Mr. Sinn
Functional Analysis Lecture 13 2014 03 061 Boundedness of Hilbert Transform on Hardy Space (part 2)
 
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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
Functional Analysis Lecture 01 2014 01 21 Banach Spaces; L^p spaces
 
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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
Linear Functional Analysis for Scientists and Engineers
 
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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
Functional Analysis Lecture 20 2014 04 08 Elliptic operators and regular parametrices
 
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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
Lecture 9b: Functional Analysis - Normed spaces and Banach spaces
 
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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.
class 01 - Preliminaries for Functional Analysis
 
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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
Lecture 2: Functional Analysis - Complete metric spaces
 
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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
Functional Analysis - Lecture 1 - UCCS MathOnline
 
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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
Functional Analysis IIT Guwahati Full Note & Probl (PDF Available ) || Useful for competitive exams
 
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Google drive link--- https://drive.google.com/folderview?id=0B_lB66STGutDWFdBODZEZnBSOFE Click to download Share this as much as possible for next note.. Comment down below - which note you want next... For such videos, Subscribe Mon Ja Chai... https://www.youtube.com/c/MonJaChaiMJC Functional Analysis IIT Guwahati Class notes and problems functional analysis iitg
Views: 23 Mon Ja Chai
Linear Functional Analysis
 
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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, Lecture 20: Functions - Limits and Continuity
 
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Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
Views: 50171 HarveyMuddCollegeEDU
Lecture 1: Functional Analysis
 
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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
Banach Spaces part 1
 
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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
An Introduction to Functional Analysis by John Cagnol
 
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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 MTH327 LECTURE 24
 
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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 https://play.google.com/store/apps/developer?id=Next+Vision+Apps
Views: 76 Virtual Comsats
MAST30026 Lecture 12: Function spaces (Part 1)
 
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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
Complex Analysis - Fundamental(Lecture1)
 
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Some Basic Fundamentals before starting complex analysis, Unit- I of Engineering Mathematics-III
#Metric space in HINDI#lecture-6【 functional analysis part-7】by GAYATRI education classes
 
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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
Sociological Theory and Levels of Analysis
 
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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
Mod-01 Lec-01 Analytic functions of a complex variable (Part I)
 
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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
Grammar Lecture 2-1 | Form and Function English 382
 
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Click on this link to download the lecture notes:
Views: 12248 Jeff Everhart
MAST30026 Lecture 18: Banach spaces (Part 1)
 
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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
Mod-03 Lec-14 Metric Spaces: Definition and Examples
 
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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
Introduction to Metric Spaces
 
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The axiomatic description of a metric space is given.
Views: 85620 Ben1994
Functional Analysis of Problem Behavior
 
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Dr. Brian Iwata discusses functional analysis of problem behavior. See video index at: http://wmich.edu/autism/functional-analysis
StatQuest: Principal Component Analysis (PCA) clearly explained (2015)
 
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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/
REAL ANALYSIS PROBLEMS SEQUENCE 47 books coaching online test preparation notes solved papers tricks
 
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Real Analysis, Lecture 3: Construction of the Reals
 
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Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
Views: 78839 HarveyMuddCollegeEDU
Functional Analysis in Hindi Urdu MTH327 LECTURE 15
 
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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, Lecture 2: Properties of Q
 
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Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
Views: 82660 HarveyMuddCollegeEDU
MAST30026 Lecture 19: Duality and Hilbert space
 
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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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