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Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations

Abdelkarim-Nidal Akdad, Khalil Ezzinbi, Lotti Souden (2015)

Nonautonomous Dynamical Systems

In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.

Pseudo-amenability of Brandt semigroup algebras

Maysam Maysami Sadr (2009)

Commentationes Mathematicae Universitatis Carolinae

In this paper it is shown that for a Brandt semigroup S over a group G with an arbitrary index set I , if G is amenable, then the Banach semigroup algebra 1 ( S ) is pseudo-amenable.

Quantizations and symbolic calculus over the p -adic numbers

Shai Haran (1993)

Annales de l'institut Fourier

We develop the basic theory of the Weyl symbolic calculus of pseudodifferential operators over the p -adic numbers. We apply this theory to the study of elliptic operators over the p -adic numbers and determine their asymptotic spectral behavior.

Quantum unique ergodicity for Eisenstein series on P S L 2 ( P S L 2 ( )

Dmitry Jakobson (1994)

Annales de l'institut Fourier

In this paper we prove microlocal version of the equidistribution theorem for Wigner distributions associated to Eisenstein series on P S L 2 ( ) P S L 2 ( ) . This generalizes a recent result of W. Luo and P. Sarnak who proves equidistribution for P S L 2 ( ) . The averaged versions of these results have been proven by Zelditch for an arbitrary finite-volume surface, but our proof depends essentially on the presence of Hecke operators and works only for congruence subgroups of S L 2 ( ) . In the proof the key estimates come from applying...

Quotient groups of non-nuclear spaces for which the Bochner theorem fails completely

Robert Stegliński (2005)

Studia Mathematica

It is proved that every real metrizable locally convex space which is not nuclear contains a closed additive subgroup K such that the quotient group G = (span K)/K admits a non-trivial continuous positive definite function, but no non-trivial continuous character. Consequently, G cannot satisfy any form of the Bochner theorem.

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