[unknown]

E. Albrecht; W. Ricker

Studia Mathematica (1998)

  • Volume: 130, Issue: 1, page 23-52
  • ISSN: 0039-3223

Abstract

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The aim is to investigate certain spectral properties, such as decomposability, the spectral mapping property and the Lyubich-Matsaev property, for linear differential operators with constant coefficients ( and more general Fourier multiplier operators) acting in L p ( N ) . The criteria developed for such operators are quite general and p-dependent, i.e. they hold for a range of p in an interval about 2 (which is typically not (1,∞)). The main idea is to construct appropriate functional calculi: this is achieved via a combination of methods from the theory of Fourier multipliers and local spectral theory.

How to cite

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Albrecht, E., and Ricker, W.. "null." Studia Mathematica 130.1 (1998): 23-52. <http://eudml.org/doc/216539>.

@article{Albrecht1998,
abstract = {The aim is to investigate certain spectral properties, such as decomposability, the spectral mapping property and the Lyubich-Matsaev property, for linear differential operators with constant coefficients ( and more general Fourier multiplier operators) acting in $L^p(ℝ^N)$. The criteria developed for such operators are quite general and p-dependent, i.e. they hold for a range of p in an interval about 2 (which is typically not (1,∞)). The main idea is to construct appropriate functional calculi: this is achieved via a combination of methods from the theory of Fourier multipliers and local spectral theory.},
author = {Albrecht, E., Ricker, W.},
journal = {Studia Mathematica},
keywords = {decomposable operators; Fourier multipliers; local spectral theory; functional calculi; linear differential operators with constant coefficients; Fourier multiplier operators; decomposability; spectral mapping property; Lyubich-Matsaev property},
language = {eng},
number = {1},
pages = {23-52},
url = {http://eudml.org/doc/216539},
volume = {130},
year = {1998},
}

TY - JOUR
AU - Albrecht, E.
AU - Ricker, W.
JO - Studia Mathematica
PY - 1998
VL - 130
IS - 1
SP - 23
EP - 52
AB - The aim is to investigate certain spectral properties, such as decomposability, the spectral mapping property and the Lyubich-Matsaev property, for linear differential operators with constant coefficients ( and more general Fourier multiplier operators) acting in $L^p(ℝ^N)$. The criteria developed for such operators are quite general and p-dependent, i.e. they hold for a range of p in an interval about 2 (which is typically not (1,∞)). The main idea is to construct appropriate functional calculi: this is achieved via a combination of methods from the theory of Fourier multipliers and local spectral theory.
LA - eng
KW - decomposable operators; Fourier multipliers; local spectral theory; functional calculi; linear differential operators with constant coefficients; Fourier multiplier operators; decomposability; spectral mapping property; Lyubich-Matsaev property
UR - http://eudml.org/doc/216539
ER -

References

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