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On p-dependent local spectral properties of certain linear differential operators in $L^{p}(ℝ^{N})

100%

Albrecht E., Ricker W. J.

Studia Mathematica

1998

tom 130

nr 1

23-52

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.

On joint spectra

26%

Albrecht E.

Studia Mathematica

1979

tom 64

nr 3

263-271

Ograniczanie wyników

2 Studia Mathematica

2 Albrecht E.

1 Ricker W. J.

1 1998

1 1979

Wyniki wyszukiwania

On p-dependent local spectral properties of certain linear differential operators in $L^{p}(ℝ^{N})

On joint spectra