Theorems in functional analysis | Theorems in measure theory | Operator theory

Naimark's dilation theorem

In operator theory, Naimark's dilation theorem is a result that characterizes positive operator valued measures. It can be viewed as a consequence of Stinespring's dilation theorem. (Wikipedia).

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Joe Neeman: Gaussian isoperimetry and related topics II

The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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Introduction to the Dirac Delta Function

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to the Dirac Delta Function

From playlist Differential Equations

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Existence & Uniqueness Theorem, Ex1.5

Existence & Uniqueness Theorem for differential equations. Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of d

From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)

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Marko Tadic - Unitarizability in generalised rank three case for classical p-adic groups

J. Arthur has classified irreducible tempered representations of classical p-adic groups. C. Moeglin has singled out parameters of cuspidal representations among them. Further, she gave a simple formula forcuspidal reducibilities (in the generalised rank one). In our talk, we sh

From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.

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Variation of Parameters, intro & idea

Variation of Parameters, intro & idea blackpenredpen tags: differential equations, variation of parameters, reduction of orders, blackpenredpen, nagle, second order linear differential equations, nonhomogeneous differential equation, ay''+by'+cy=f(t), kaws x peanuts, kaws snoopy,

From playlist Variation of Parameters (Nagle's Sect4.6)

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Differential Equations | Abel's Theorem

We present Abel's Theorem with a proof. http://www.michael-penn.net

From playlist Differential Equations

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Hilbert-Schmidt stability of groups via C*-algebras - Tatiana Shulman

Stability and Testability Topic: Hilbert-Schmidt stability of groups via C*-algebras Speaker: Tatiana Shulman Affiliation: Polish Academy of Science Date: December 16, 2020 For more video please visit http://video.ias.edu

From playlist Stability and Testability

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Verifying a solution to the differential equation y''+y=tan(x)

Verifying a solution to the differential equation y''+y=tan(x) Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of

From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)

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Divergence theorem of Gauss

Free ebook http://tinyurl.com/EngMath A short tutorial on how to apply Gauss' Divergence Theorem, which is one of the fundamental results of vector calculus. The theorem is stated and we apply it to a simple example.

From playlist Several Variable Calculus / Vector Calculus

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Homotopical effects of k-dilation - Larry Guth

Variational Methods in Geometry Seminar Topic: Homotopical effects of k-dilation Speaker: Larry Guth Affiliation: Massachusetts Institute of Technology Date: November 27, 2018 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

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Differential Equations | Series Solutions at Ordinary Points -- Theorem and Interval of Convergence

We present (without proof) a theorem describing the existence and convergence of series solutions for differential equations. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Series Solutions for Differential Equations

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Terence Tao (UCLA): Pseudorandomness of the Liouville function

The Liouville pseudorandomness principle (a close cousin of the Mobius pseudorandomness principle) asserts that the Liouville function λ(n), which is the completely multiplicative function that equals −1 at every prime, should be "pseudorandom" in the sense that it behaves statistically li

From playlist TP Harmonic Analysis and Analytic Number Theory: Opening Day

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Mod-01 Lec-29 Gauss-Seidel Method

Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics

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Nearly Uniform Lattice Covers by Barak Weiss

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

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When is Murder Genocide?

When it comes to use of the word "genocide," public opinion has been kinder to Stalin than Hitler. But Stanford historian Norman Naimark looks at Stalin's mass killings and urges that the definition of genocide be widened. Stanford University: http://www.stanford.edu/ Stanford News:

From playlist Stanford News 2010

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Sumfree Subsets of Z/pZ by J. M. Deshouillers and R. Balasubramanian

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020

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The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg

In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t

From playlist Algebraic Calculus One

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Nicola Garofalo: Hypoelliptic operators and analysis on Carnot-Carathéodory spaces

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 Algebraic and Complex Geometry

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D. Vittone - Rectifiability issues in sub-Riemannian geometry

In this talk we discuss two problems concerning “rectifiability” in sub-Riemannian geometry and particularly in the model setting of Carnot groups. The first problem regards the rectifiability of boundaries of sets with finite perimeter in Carnot groups, while the second one concerns Radem

From playlist Journées Sous-Riemanniennes 2018

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Verifying a solution to a second order differential equation, Sect1.2#7

Learn how to verify a solution to a second-order differential equation. This is an introduction to the differential equation section. For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different type

From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)

Related pages

Choi's theorem on completely positive maps | Compact space | Mark Naimark | Operator theory | Hilbert space | Bounded operator | Banach space | Hausdorff space | Projection-valued measure | POVM | C*-algebra