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Displaying 61 – 77 of 77

Holomorphic representation theory. I.

Karl-Hermann Neeb (1995)

Mathematische Annalen

Homeomorphisms acting on Besov and Triebel-Lizorkin spaces of local regularity ψ(t).

Silvia I. Hartzstein, Beatriz E. Viviani (2005)

Collectanea Mathematica

The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and Triebel-Lizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularities belong to a larger class of growth functions than the potentials tα, related to classical fractional integral and derivative operators and Besov and Triebel-Lizorkin spaces.

Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces [Book]

António M. Caetano, Sofia Lopes (2009)

Homogeneous algebras on the circle. II. Multipliers, Ditkin conditions

Colin Bennett, John E. Gilbert (1972)

Annales de l'institut Fourier

This paper considers the Lipschitz subalgebras $Λ (α, p, 𝒜)$ of a homogeneous algebra on the circle. Interpolation space theory is used to derive estimates for the multiplier norm on closed primary ideals in $Λ (α, p; 𝒜)$ , $α \neq [α]$ . From these estimates the Ditkin and Analytic Ditkin conditions for $Λ (α, p; 𝒜)$ follow easily. Thus the well-known theory of (regular) Banach algebras satisfying the Ditkin condition applies to $Λ (α;, p; 𝒜)$ as does the theory developed in part I of this series which requires the Analytic Ditkin condition.Examples are discussed...

Homogeneous Besov spaces on locally compact Vilenkin groups

C. Onneweer, Su Weiyi (1989)

Studia Mathematica

Homogeneous cones and Abelian theorems.

Ostrogorski, Tatjana (1998)

International Journal of Mathematics and Mathematical Sciences

Homogeneous spaces of compact connected Lie groups which admit nontrivial invariant algebras.

Latypov, Ilyas A. (1999)

Journal of Lie Theory

Homogenous distributions on spaces of Hermitean matrices.

Fulvio Ricci, Elias M. Stein (1986)

Journal für die reine und angewandte Mathematik

Homology and cohomology of Rees semigroup algebras

Frédéric Gourdeau, Niels Grønbæk, Michael C. White (2011)

Studia Mathematica

Let S be a Rees semigroup, and let ℓ¹(S) be its convolution semigroup algebra. Using Morita equivalence we show that bounded Hochschild homology and cohomology of ℓ¹(S) are isomorphic to those of the underlying discrete group algebra.

Homomorphisms of commutative Banach algebras and extensions to multiplier algebras with applications to Fourier algebras

E. Kaniuth, A. T. Lau, A. Ülger (2007)

Studia Mathematica

Let A and B be semisimple commutative Banach algebras with bounded approximate identities. We investigate the problem of extending a homomorphism φ: A → B to a homomorphism of the multiplier algebras M(A) and M(B) of A and B, respectively. Various sufficient conditions in terms of B (or B and φ) are given that allow the construction of such extensions. We exhibit a number of classes of Banach algebras to which these criteria apply. In addition, we prove a polar decomposition for homomorphisms from...

Homomorphisms of $l^{1}$ -algebras on signed polynomial hypergroups.

Lasser, Rupert, Perreiter, Eva (2010)

Banach Journal of Mathematical Analysis [electronic only]

Hörmander type multiplier theorem on complex Iwasawa AN groups

W. Hebisch (2010)

Colloquium Mathematicae

We prove that, for a distinguished laplacian on an Iwasawa AN group corresponding to a complex semisimple Lie group, a Hörmander type multiplier theorem holds. Our argument is based on Littlewood-Paley theory.

How to recognize a true Σ^0_3 set

Etienne Matheron (1998)

Fundamenta Mathematicae

Let X be a Polish space, and let ${(A_{p})}_{p \in ω}$ be a sequence of $G_{δ}$ hereditary subsets of K(X) (the space of compact subsets of X). We give a general criterion which allows one to decide whether $\cup_{p \in ω} A_{p}$ is a true $\sum_{3}^{0}$ subset of K(X). We apply this criterion to show that several natural families of thin sets from harmonic analysis are true $\sum_{3}^{0}$ .

Hull-minimal ideals in the Schwartz algebra of the Heisenberg group

J. Ludwig (1998)

Studia Mathematica

For every closed subset C in the dual space $Ĥ_{n}$ of the Heisenberg group $H_{n}$ we describe via the Fourier transform the elements of the hull-minimal ideal j(C) of the Schwartz algebra $S (H_{n})$ and we show that in general for two closed subsets $C_{1}, C_{2}$ of $Ĥ_{n}$ the product of $j (C_{1})$ and $j (C_{2})$ is different from $j (C_{1} \cap C_{2})$ .

Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces

Francesca Astengo, Bianca Di Blasio (2010)

Annales mathématiques Blaise Pascal

We prove that Huygens’ principle and the principle of equipartition of energy hold for the modified wave equation on odd dimensional Damek–Ricci spaces. We also prove a Paley–Wiener type theorem for the inverse of the Helgason Fourier transform on Damek–Ricci spaces.

Huyghens' principle in Riemannian symmetric spaces.

T. Branson, G. Olafsson (1995)

Mathematische Annalen

Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups

Annalisa Baldi, Bruno Franchi, Maria Carla Tesi (2009)

Journal of the European Mathematical Society

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