D'Alembert's equation and spherical functions.
D'Alembert's functional equation on compact groups.
Darstellungen von Liegruppen und Approximationsprozesse auf Banachräumen.
Das Syntheseproblem für invariante Distributionen.
Decomposable multipliers and applications to harmonic analysis
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
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.
Decreasing rearrangements and of the Bohr group
Definisierbare Funktionen auf Gruppen [Book]
Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg
Degree theory for VMO maps on metric spaces
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 and their boundaries. Then, we apply our results in order to analyze the surjectivity properties of the -harmonic extensions of VMO vector-valued functions. The operators 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
Dense Ideals of Group Algebras.
Densité harmonique et espaces de Banach invariants par translation ne contenant pas
Dependence results on almost periodic and almost automorphic solutions of evolution equations.
Dérivation sur un groupe localement compact et abélien
Derivations into iterated duals of Banach algebras
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 is zero; i.e., . 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
Describing Functions: Atomic Decompositions Versus Frames.
Designing Local Orthogonal Bases on Finite Groups I: Abelian Case.