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For a multiplier on a semisimple commutative Banach algebra, the decomposability in the sense of Foiaş will be related to certain continuity properties and growth conditions of its Gelfand transform on the spectrum of the multiplier algebra. If the multiplier algebra is regular, then all multipliers will be seen to be decomposable. In general, an important tool will be the hull-kernel topology on the spectrum of the typically nonregular multiplier algebra. Our investigation involves various closed...

Decomposition of analytic measures on groups and measure spaces

Nakhlé Asmar, Stephen Montgomery-Smith (2001)

Studia Mathematica

We consider an arbitrary locally compact abelian group G, with an ordered dual group Γ, acting on a space of measures. Under suitable conditions, we define the notion of analytic measures using the representation of G and the order on Γ. Our goal is to study analytic measures by applying a new transference principle for subspaces of measures, along with results from probability and Littlewood-Paley theory. As a consequence, we derive new properties of analytic measures as well as extensions of previous...

Decomposition of Positive Definite Functions Defined on a Neighbourhood of the Identity.

Zoltán Sasvári (1987)

Monatshefte für Mathematik

Decreasing rearrangements and $L^{p, q}$ of the Bohr group

J. Ash, Kenneth Ross (1984)

Studia Mathematica

Definisierbare Funktionen auf Gruppen [Book]

Zoltán Sasvári (1989)

Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg

Hubert Pesce (1992)

Annales scientifiques de l'École Normale Supérieure

Degree theory for VMO maps on metric spaces

Francesco Uguzzoni, Ermanno Lanconelli (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We construct a degree theory for Vanishing Mean Oscillation functions in metric spaces, following some ideas of Brezis & Nirenberg. The underlying sets of our metric spaces are bounded open subsets of $ℝ^{N}$ and their boundaries. Then, we apply our results in order to analyze the surjectivity properties of the $L$ -harmonic extensions of VMO vector-valued functions. The operators $L$ we are dealing with are second order linear differential operators sum of squares of vector fields satisfying the hypoellipticity...

Dense decompositions of locally compact groups

William E. Dietrich, Jr. (1972)

Colloquium Mathematicae

Dense Ideals of Group Algebras.

V. Losert, E. Kotzmann, H. Rindler (1979)

Mathematische Annalen

Densité harmonique et espaces de Banach invariants par translation ne contenant pas $c_{0}$

Myriam Déchamps (1987)

Colloquium Mathematicae

Dependence results on almost periodic and almost automorphic solutions of evolution equations.

Blot, Joel, Cieutat, Philippe, N'Guerekata, Gaston M. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Dérivation sur un groupe localement compact et abélien

A. Abdik (1971)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Derivations into iterated duals of Banach algebras

H. Dales, F. Ghahramani, N. Grønbæek (1998)

Studia Mathematica

We introduce two new notions of amenability for a Banach algebra A. The algebra A is n-weakly amenable (for n ∈ ℕ) if the first continuous cohomology group of A with coefficients in the n th dual space $A^{(n)}$ is zero; i.e., $ℋ^{1} (A, A^{(n)}) = 0$ . Further, A is permanently weakly amenable if A is n-weakly amenable for each n ∈ ℕ. We begin by examining the relations between m-weak amenability and n-weak amenability for distinct m,n ∈ ℕ. We then examine when Banach algebras in various classes are n-weakly amenable; we study...

Des produits de Riesz comme mesures spectrales

François Ledrappier (1970)

Annales de l'I.H.P. Probabilités et statistiques

Describing Functions: Atomic Decompositions Versus Frames.

Karlheinz Gröchenig (1991)

Monatshefte für Mathematik

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