Spectral theory | Generalized functions | Hilbert space

Rigged Hilbert space

In mathematics, a rigged Hilbert space (Gelfand triple, nested Hilbert space, equipped Hilbert space) is a construction designed to link the distribution and square-integrable aspects of functional analysis. Such spaces were introduced to study spectral theory in the broad sense. They bring together the 'bound state' (eigenvector) and 'continuous spectrum', in one place. (Wikipedia).

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Hilbert Spaces part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Def: Hilbert Space; 05:00 - New Example Of A Hilbert Space; 15:15 - Operators On Hilbert Spaces; 20:00 - Example 1; 24:00 - Example 2; 38:30 - Riesz Representation Theorem; 43:00 - Concerning Physics;

From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math

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MAST30026 Lecture 20: Hilbert space (Part 3)

I prove that L^2 spaces are Hilbert spaces. Lecture notes: http://therisingsea.org/notes/mast30026/lecture20.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for this class, every week, all year. Drop in and say Hi! For

From playlist MAST30026 Metric and Hilbert spaces

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Hilbert Curve

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2toQ.

From playlist 3D printing

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Emily Cliff: Hilbert Schemes Lecture 6

SMRI Seminar Series: 'Hilbert Schemes' Lecture 6 GIT stability, quiver representations, & Hilbert schemes Emily Cliff (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to

From playlist SMRI Course: Hilbert Schemes

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Joshua Ciappara: Hilbert Schemes Lecture 10

SMRI Seminar Series: 'Hilbert Schemes' Lecture 10 Representations of Heisenberg algebras on homology of Hilbert schemes Joshua Ciappara (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way tha

From playlist SMRI Course: Hilbert Schemes

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A solar system, a simulation made with Excel

An Excel simulation of the solar system. You can see how things are recursively computed: the mutual gravity force from the locations, the accelerations, the velocities, and finally the updated locations. The solar eclipse is also shown. This is clip is intended to illustrate Chapter 24 Ap

From playlist Physics simulations

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Space-Filling Curves (2 of 4: Hilbert Curve)

More resources available at www.misterwootube.com

From playlist Exploring Mathematics: Fractals

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A WEIRD VECTOR SPACE: Building a Vector Space with Symmetry | Nathan Dalaklis

We'll spend time in this video on a weird vector space that can be built by developing the ideas around symmetry. In the process of building a vector space with symmetry at its core, we'll go through a ton of different ideas across a handful of mathematical fields. Naturally, we will start

From playlist The New CHALKboard

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Commutative algebra 8 (Noetherian modules)

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we define Noetherian modules over a ring, and use the to prove Noether's theorem that the agerba of invariants

From playlist Commutative algebra

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Update on Tropical Schemes by Diane Maclagan

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study of

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Serre Duality on Character Varieties and Explicit Reciprocity Laws by Otmar Venjakob

PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla

From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)

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p-Adic Analytic Continuation of Genus 2 Overconvergent... - Yichao Tian

Yichao Tian Princeton University; Member, School of Mathematics March 17, 2011 A well known result of Coleman says that p-adic overconvergent (ellitpic) eigenforms of small slope are actually classical modular forms. Now consider an overconvergent p-adic Hilbert eigenform F for a totally r

From playlist Mathematics

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Ch 3: Why do we need a Hilbert Space? | Maths of Quantum Mechanics

Hello! This is the third chapter in my series "Maths of Quantum Mechanics." In this episode, we'll find that infinity brings up a few issues within our quantum framework, and we'll see how a Hilbert space fixes them. If you have any questions or comments, shoot me an email at: quantumse

From playlist Maths of Quantum Mechanics

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The Riemann-Hilbert Correspondence in Nonarchimedean Geometry - Jacob Lurie

IAS/Princeton Arithmetic Geometry Seminar Topic: The Riemann-Hilbert Correspondence in Nonarchimedean Geometry Speaker: Jacob Lurie Affiliation: Member, School of Mathematics Date: March 13, 2023 Let X be a smooth projective variety over the field of complex numbers. The classical Rieman

From playlist Mathematics

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Davesh Maulik - Introduction to Donaldson-Thomas theory (Part 1)

We will give an introduction to Donaldson-Thomas theory and some basic tools and computations. In the last lecture, we hope to explain some aspects of the proof of the GW/DT correspondence for toric threefolds

From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten

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Hans Feichtinger: Wavelet theory, coorbit spaces and ramifications

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 30 years of wavelets

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Anthony Licata: Hilbert Schemes Lecture 7

SMRI Seminar Series: 'Hilbert Schemes' Lecture 7 Kleinian singularities 2 Anthony Licata (Australian National University) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students inter

From playlist SMRI Course: Hilbert Schemes

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