Spectral theory

Essential spectrum

In mathematics, the essential spectrum of a bounded operator (or, more generally, of a densely defined closed linear operator) is a certain subset of its spectrum, defined by a condition of the type that says, roughly speaking, "fails badly to be invertible". (Wikipedia).

Video thumbnail

Transverse and longitudinal waves: fizzics.org

An introduction to waves, transverse and longitudinal waves and the electromagnetic spectrum. Including wavelength, amplitude and frequency. Suitable for 14 to 16 physics students and a reminder for more advanced courses.

From playlist The electromagnetic spectrum and waves

Video thumbnail

Teach Astronomy - Electromagnetic Spectrum

http://www.teachastronomy.com/ The visible spectrum of light is just a small sliver in an enormously broad spectrum of radiation called the electromagnetic spectrum. The electromagnetic spectrum ranges through an array of wavelengths that span fifteen orders of magnitudes or decades. The

From playlist 06. Optics and Quantum Theory

Video thumbnail

The Atom A2 Line Spectra

Explaining line spectra.

From playlist Physics - The Atom

Video thumbnail

The tool that engineers use to design buildings in earthquake zones | The response spectrum

Earthquakes are one of the most destructive forces of nature. They could induce substantial movement in the ground, which results in the development of excessive forces in structural components, resulting in their failure. The intent of the analysis is to somehow predict the **maximum resp

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Electromagnetic Waves: GCSE revision

GCSE level Waves covering: Electromagnetic waves, Light, X-Ray, Gamma Ray, Ultra-violet, UV, Infra-red, Microwaves, Radio waves, UHF, VHF, Short wave, Medium Wave, Long Wave, communication, satellite, mobile phone, remote control, optical fibre, total internal reflection, photography, sign

From playlist GCSE Physics Revision

Video thumbnail

Astronomy - Ch. 5: Light & E&M Radiation (23 of 30) Emission Spectrum and Amount of Elements

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how scientists determine the amount of an element by looking at an emission spectrum of a celestial object.

From playlist ASTRONOMY 5 LIGHT AND RADIATION

Video thumbnail

Understanding Spectrum! | ICT #6

Use of the Internet on the go, or when making mobile phone calls, is made possible thanks to the invisible electromagnetic waves that mobile phones emit or receive. However, did you know that this electromagnetic frequency range, or spectrum, is a highly precious resource. In 2008 the US g

From playlist Internet & Telecommunication Technology

Video thumbnail

Douglas Lundholm - Spectrum and Ground States of MembraneMatrix Models

https://indico.math.cnrs.fr/event/4272/attachments/2260/2716/IHESConference_Douglas_LUNDHOLM.pdf

From playlist Space Time Matrices

Video thumbnail

The Power Spectral Density

http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Representation of wide sense stationary random processes in the frequency domain - the power spectral density or power spectrum is the DTFT of the a

From playlist Random Signal Characterization

Video thumbnail

Probing the Early Universe through Observations of the Cosmic Microwave Background - William Jones

Probing the Early Universe through Observations of the Cosmic Microwave Background William Jones Princeton University July 26, 2011

From playlist PiTP 2011

Video thumbnail

Carlo Barenghi: Classical and non-classical flows of superfluids

Abstract: Superfluids are remarkable because they lack mechanisms of viscous dissipations, and because vorticity is concentrated in thin vortex lines - a property which arises from the existence and uniqueness of a macroscopic wave function. In this talk I shall review recent experiments a

From playlist Numerical Analysis and Scientific Computing

Video thumbnail

On dynamical spectral rigidity and determination - Jacopo DeSimoi

Analysis Seminar Topic: On dynamical spectral rigidity and determination Speaker: Jacopo De Simoi Affiliation: University of Toronto Date: February 10, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Koopman Spectral Analysis (Continuous Spectrum)

In this video, we discuss how to use Koopman theory for dynamical systems with a continuous eigenvalue spectrum. These systems are quite common, such as a pendulum, where the period deforms continuously as energy is added to the system. To handle these systems, we use a neural network a

From playlist Koopman Analysis

Video thumbnail

Cosmology Lunch Discussion - April 4, 2022

Topic 1: The two-loop bispectrum of large-scale structure Topic 2: Theoretical modeling of probability distribution function for cosmological counts in cell Abstract 1: The bispectrum is the leading non-Gaussian statistic in large-scale structure, providing complementary information to the

From playlist IAS/PU Cosmology Discussion

Video thumbnail

Bourbaki - 21/03/15 - 1/3 - Sébastien GOUËZEL

Spectre du flot géodésique en courbure négative [d'après F. Faure et M. Tsuji]

From playlist Bourbaki - 21 mars 2015

Video thumbnail

Physics 50 E&M Radiation (2 of 33) Frequency and Wavelength

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain electromagnetic radiation in terms of frequency and wavelength. Next video in series: http://youtu.be/t6EnTtkG4hA

From playlist PHYSICS 50 ELECTROMAGNETIC RADIATION

Video thumbnail

Spectrum of Hg Lamp / amazing science experiment

Identify the spectral lines of Hg lamp Enjoy the amazing colors! Music: https://www.bensound.com/

From playlist Optics

Related pages

Riesz projector | Self-adjoint operator | Subsequence | Fredholm operator | Bounded operator | Banach space | Normal eigenvalue | Decomposition of spectrum (functional analysis) | Sequence | Fredholm theory | Cokernel | Mathematics | Spectrum (functional analysis) | Unbounded operator | Discrete spectrum (mathematics) | Compact operator | Compact operator on Hilbert space | Operator theory | Hilbert space | Hermann Weyl | Complex number | Kernel (algebra) | Resolvent formalism | Closed set | Densely defined operator