About: Limiting absorption principle

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Limiting absorption principle Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/c/28drsBN8Lu

In mathematics, the limiting absorption principle (LAP) is a concept from operator theory and scattering theory that consists of choosing the "correct" resolvent of a linear operator at the essential spectrum based on the behavior of the resolvent near the essential spectrum. The term is often used to indicate that the resolvent, when considered not in the original space (which is usually the space), but in certain weighted spaces (usually , see below), has a limit as the spectral parameter approaches the essential spectrum.This concept developed from the idea of introducing complex parameter into the Helmholtz equation for selecting a particular solution. This idea is credited to Vladimir Ignatowski, who was considering the propagation and absorption of the electromagnetic waves in a wi

Attributes	Values
rdfs:label	Principio de absorción limitante (es) Limiting absorption principle (en)
rdfs:comment	En matemáticas, el principio de absorción limitante (LAP) es un concepto de la teoría del operador y la teoría de dispersión que consiste en elegir el resolvente "correcto" de un operador lineal en el espectro esencial basado en el comportamiento del resolvente cerca del espectro esencial. El término se usa a menudo para indicar que el resolvente, cuando se considera que no está en el espacio original (que generalmente es el espacio ), pero en ciertos espacios ponderados (generalmente , ver más abajo), tiene un límite a medida que el parámetro espectral se acerca al espectro esencial. (es) In mathematics, the limiting absorption principle (LAP) is a concept from operator theory and scattering theory that consists of choosing the "correct" resolvent of a linear operator at the essential spectrum based on the behavior of the resolvent near the essential spectrum. The term is often used to indicate that the resolvent, when considered not in the original space (which is usually the space), but in certain weighted spaces (usually , see below), has a limit as the spectral parameter approaches the essential spectrum.This concept developed from the idea of introducing complex parameter into the Helmholtz equation for selecting a particular solution. This idea is credited to Vladimir Ignatowski, who was considering the propagation and absorption of the electromagnetic waves in a wi (en)
dct:subject	Scattering theory Spectral theory Operator theory Linear operators
Wikipage page ID	61148504 (xsd:integer)
Wikipage revision ID	1094219727 (xsd:integer)
Link from a Wikipage to another Wikipage	Scattering theory Spectral theory Homogeneous differential equation Resolvent formalism Unbounded operator Limiting amplitude principle Operator theory Convolution Essential spectrum Operator theory Fundamental solution Linear operators Linear operator Sobolev space Banach space Wave equation Resolvent set Helmholtz equation Aleksei Sveshnikov L2 space Laplace operator Speed of light in vacuum Vladimir Ignatowski Sommerfeld radiation condition Locally integrable Dielectric constant Scattering theory Electric conductivity Magnetic permeability Resolvent operator
sameAs	Limiting absorption principle Limiting absorption principle Limiting absorption principle
dbp:wikiPageUsesTemplate	dbt:Mvar dbt:Reflist dbt:Functional_Analysis
has abstract	In mathematics, the limiting absorption principle (LAP) is a concept from operator theory and scattering theory that consists of choosing the "correct" resolvent of a linear operator at the essential spectrum based on the behavior of the resolvent near the essential spectrum. The term is often used to indicate that the resolvent, when considered not in the original space (which is usually the space), but in certain weighted spaces (usually , see below), has a limit as the spectral parameter approaches the essential spectrum.This concept developed from the idea of introducing complex parameter into the Helmholtz equation for selecting a particular solution. This idea is credited to Vladimir Ignatowski, who was considering the propagation and absorption of the electromagnetic waves in a wire.It is closely related to the Sommerfeld radiation condition and the limiting amplitude principle (1948).The terminology – both the limiting absorption principle and the limiting amplitude principle – was introduced by Aleksei Sveshnikov. (en) En matemáticas, el principio de absorción limitante (LAP) es un concepto de la teoría del operador y la teoría de dispersión que consiste en elegir el resolvente "correcto" de un operador lineal en el espectro esencial basado en el comportamiento del resolvente cerca del espectro esencial. El término se usa a menudo para indicar que el resolvente, cuando se considera que no está en el espacio original (que generalmente es el espacio ), pero en ciertos espacios ponderados (generalmente , ver más abajo), tiene un límite a medida que el parámetro espectral se acerca al espectro esencial. (es)
prov:wasDerivedFrom	wikipedia-en:Limiting_absorption_principle?oldid=1094219727&ns=0
page length (characters) of wiki page	9096 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Limiting_absorption_principle
is Link from a Wikipage to another Wikipage of	Resolvent formalism Limiting amplitude principle Lippmann–Schwinger equation Reciprocity (electromagnetism) Sommerfeld radiation condition Lap (disambiguation)
is Wikipage disambiguates of	Lap (disambiguation)
is foaf:primaryTopic of	wikipedia-en:Limiting_absorption_principle

Faceted Search & Find service v1.17_git147 as of Sep 06 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3331 as of Sep 2 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 52 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software