Rotation methods in operator ergodic theory.

Berkson, Earl

Displaying similar documents to “Rotation methods in operator ergodic theory.”

About biharmonic problem via a spectral approach and decomposition techniques.

Benaissa, Lakhdar, Daili, Noureddine (2009)

Acta Universitatis Apulensis. Mathematics - Informatics

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Spectral density estimation for stationary stable random fields

Rachid Sabre (1995)

Applicationes Mathematicae

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We consider a stationary symmetric stable bidimensional process with discrete time, having the spectral representation (1.1). We consider a general case where the spectral measure is assumed to be the sum of an absolutely continuous measure, a discrete measure of finite order and a finite number of absolutely continuous measures on several lines. We estimate the density of the absolutely continuous measure and the density on the lines.

A simple observation about compactness and fast decay of Fourier coefficients.

Almira, J.M. (2010)

Annals of Functional Analysis (AFA) [electronic only]

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Inner spectral radius of positive operator matrices.

Manjegani, Seyed Mahmoud (2008)

Banach Journal of Mathematical Analysis [electronic only]

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Polynomial identification in uniform and operator algebras.

Ethier, Dillon, Lindberg, Tova, Luttman, Aaron (2010)

Annals of Functional Analysis (AFA) [electronic only]

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On the spectral properties of translation operators in one-dimensional tubes

Wojciech Hyb (1991)

Annales Polonici Mathematici

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We study the spectral properties of some group of unitary operators in the Hilbert space of square Lebesgue integrable holomorphic functions on a one-dimensional tube (see formula (1)). Applying the Genchev transform ([2], [5]) we prove that this group has continuous simple spectrum (Theorem 4) and that the projection-valued measure for this group has a very explicit form (Theorem 5).

Some results for one class of discontinuous operators with fixed points.

Morales, R., Rojas, E. (2007)

Acta Mathematica Universitatis Comenianae. New Series

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Remarks on remotal sets in vector valued function spaces.

Sababheh, M., Khalil, R. (2009)

The Journal of Nonlinear Sciences and its Applications

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On convolution operators with small support which are far from being convolution by a bounded measure

Edmond Granirer (1994)

Colloquium Mathematicae

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Let $C V_{p} (F)$ be the left convolution operators on $L^{p} (G)$ with support included in F and $M_{p} (F)$ denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that $C V_{p} (F)$ , $C V_{p} (F) / M_{p} (F)$ and $C V_{p} (F) / W$ are as big as they can be, namely have $l^{\infty}$ as a quotient, where the ergodic space W contains, and at times is very big relative to $M_{p} (F)$ . Other subspaces of $C V_{p} (F)$ are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.

The existence of bounded solutions for differential equations in Hilbert spaces

B. Przeradzki (1992)

Annales Polonici Mathematici

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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.

Comparisons of Sidon and $I_{0}$ sets

L. Ramsey (1996)

Colloquium Mathematicae

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Duality of a large family of analytic function spaces.

Lindström, Mikael, Palmberg, Niklas (2007)

Annales Academiae Scientiarum Fennicae. Mathematica

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