Functional analysis | Sobolev spaces | Partial differential equations

Bochner space

In mathematics, Bochner spaces are a generalization of the concept of spaces to functions whose values lie in a Banach space which is not necessarily the space or of real or complex numbers. The space consists of (equivalence classes of) all Bochner measurable functions with values in the Banach space whose norm lies in the standard space. Thus, if is the set of complex numbers, it is the standard Lebesgue space. Almost all standard results on spaces do hold on Bochner spaces too; in particular, the Bochner spaces are Banach spaces for Bochner spaces are named for the Polish-American mathematician Salomon Bochner. (Wikipedia).

Video thumbnail

The Atom A5 The Bohr Model of the Hydrogen Atom

The Bohr model of the atom.

From playlist Physics - The Atom

Video thumbnail

The Atom A4 The Bohr Model of the Hydrogen Atom

The Bohr model of the atom.

From playlist Physics - The Atom

Video thumbnail

The Atom A3 The Bohr Model of the Hydrogen Atom

The Bohr model of the atom.

From playlist Physics - The Atom

Video thumbnail

What is a Boson?

In quantum mechanics, a boson is a particle that follows Bose–Einstein statistics. Bosons make up one of the two classes of particles, the other being fermions. The name boson was coined by Paul Dirac to commemorate the contribution of the Indian physicist Satyendra Nath Bose in developing

From playlist Science Unplugged: Particle Physics

Video thumbnail

Bohr Model (5 of 7) Bohr Radius Derivation

This video shows how to derive the Bohr radius of a hydrogen atom and the radii for the additional excited states. The Bohr radius is a physical constant, approximately equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state. It is n

From playlist Quantum Mechanics

Video thumbnail

What is the Bohr model of the atom?

This video looks at the pioneering work of Niels Bohr who proposed a novel model of the atom in 1913 which would lay the foundations for a quantum mechanical treatment ten years later. After discussing the limitations of Thomson's Plum Pudding model and Rutherford's Nuclear model, Bohr's q

From playlist Quantum Physics

Video thumbnail

Bohr model: Math and Logic of Derivation

This is a detailed derivation of Bohr's model to get to the Balmer series and Rydberg's constant from fundamental principles. It is at AP Physics/Freshman College Level. My Patreon Page: https://www.patreon.com/user?u=15291200 The music is from the fabulous Kim Nalley and find her at

From playlist Early History of Quantum Mechanics

Video thumbnail

Gap and index estimates for Yang-Mills connections in 4-d - Matthew Gursky

Variational Methods in Geometry Seminar Topic: Gap and index estimates for Yang-Mills connections in 4-d Speaker: Matthew Gursky Affiliation: University of Notre Dame Date: March 19, 2019 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

Video thumbnail

Kyle Broder -- Recent Developments Concerning the Schwarz Lemma

A lecture I gave at the Beijing International Center for Mathematical Research geometric analysis seminar. The title being Recent Developments Concerning the Schwarz Lemma with applications to the Wu--Yau Theorem. This contains some recent results concerning the Bochner technique for the G

From playlist Research Lectures

Video thumbnail

Dror Varolin - Minicourse - Lecture 5

No Audio Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more generally a complex manifold, and studies holomorphic maps on that space, into some target space. The typical target space for

From playlist Maryland Analysis and Geometry Atelier

Video thumbnail

Dror Varolin - Minicourse - Lecture 2

Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more generally a complex manifold, and studies holomorphic maps on that space, into some target space. The typical target space for a domain i

From playlist Maryland Analysis and Geometry Atelier

Video thumbnail

Hilbert Space Techniques in Complex Analysis and Geometry (Lecture 4) by Dror Varolin

PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo

From playlist Cauchy-Riemann Equations in Higher Dimensions 2019

Video thumbnail

Modified Logarithmic Sobolev Inequalities: ... (Lecture 3) by Prasad Tetali

PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear

From playlist Advances in Applied Probability 2019

Video thumbnail

Homogeneous holomorphic foliations on Kobayashi hyperbolic manifolds by Benjamin Mckay

DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be

From playlist Analytic and Algebraic Geometry-2018

Video thumbnail

Physics - Modern Physics (14 of 26) The Bohr Atom (Part I)

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the Bohr Atom and find the equation for its energy.

From playlist MOST POPULAR VIDEOS

Video thumbnail

Bo'az Klartag - Convexity in High Dimensions IV

November 18, 2022 This is the fourth talk in the Minerva Mini-course of Bo'az Klartag, Weizmann Institute of Science and Princeton's Fall 2022 Minerva Distinguished Visitor We will discuss recent progress in the understanding of the isoperimetric problem for high-dimensional convex sets,

From playlist Minerva Mini Course - Bo'az Klartag

Video thumbnail

Positive definite kernels on spheres by E K Narayanan

DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the

From playlist Sphere Packing - 2019

Video thumbnail

Copy a Copy a Copy | Molly Springfield | The Art Assignment

Pre-order our book YOU ARE AN ARTIST (which includes new assignments!) here: http://bit.ly/2kplj2h This week we meet D.C. based artist Molly Springfield. Molly's graphite drawings transform texts into images, and her assignment for you asks you to consider how repeating a process can turn

From playlist Assignment Episodes

Video thumbnail

Rutherford-Bohr Model | Atomic Physics

In this video, we will discuss the Rutherford-Bohr model of the atom. It states that electrons move around the nucleus in well-defined orbits, similar to planets in the Solar System. Although it is a mix of classical and quantum mechanics, it does describe the Hydrogen energy levels quite

From playlist Quantum Mechanics, Quantum Field Theory

Related pages

Norm (mathematics) | Support (mathematics) | Lebesgue measure | Functional analysis | Abuse of notation | Almost everywhere | Sobolev space | Banach space | Partial derivative | Salomon Bochner | Boundary (topology) | Equivalence class | Mathematics | Weak derivative | Dual space | Heat equation | Compact space | Hilbert space | Interval (mathematics) | Measure space | Lp space | Partial differential equation | Total derivative