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Displaying 1941 – 1960 of 2289

The Lévy continuity theorem for nuclear groups

W. Banaszczyk (1999)

Studia Mathematica

Let G be an abelian topological group. The Lévy continuity theorem says that if G is an LCA group, then it has the following property (PL) a sequence of Radon probability measures on G is weakly convergent to a Radon probability measure μ if and only if the corresponding sequence of Fourier transforms is pointwise convergent to the Fourier transform of μ. Boulicaut [Bo] proved that every nuclear locally convex space G has the property (PL). In this paper we prove that the property (PL) is inherited...

The Lévy-Khintchine-Formula for Dissipative Distributions.

Hansmartin Zeuner (1986)

Mathematische Annalen

The local weight of an effective locally compact transformation group and the dimension of $L^{2} (G)$

J. de Vries (1978)

Colloquium Mathematicae

The Logarithmic Hardy-Littlewood-Sobolev Inequlity and Extremals of Zeta Functions on Sn.

C. Morpurgo (1996)

Geometric and functional analysis

The L...-representation algebra of a foundation topological semigroup.

M. Lashkarizade Bami (1992)

Manuscripta mathematica

The L...-representation algebra of an idempotent topological semigroup.

J.W. Baker, M. Lashkarizadeh-Bami (1993)

Semigroup forum

The Maximal (C, ...) Operator of Two-Parameter Walsh-Fourier Series.

Ferenc Weisz (2000)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

The method of Grothendieck-Ramirez and weak topologies in C(T)

S. Hartman (1972)

Studia Mathematica

The minimum existence of functional $\int_{a}^{b} F (x (t), y (t), \dot{x} (t), \dot{y} (t)) d t$

Vladimír Souček (1970)

Commentationes Mathematicae Universitatis Carolinae

The Minlos lemma for positive-definite functions on additive subgroups of $ℝ^{n}$

W. Banaszczyk (1997)

Studia Mathematica

Let H be a real Hilbert space. It is well known that a positive-definite function φ on H is the Fourier transform of a Radon measure on the dual space if (and only if) φ is continuous in the Sazonov topology (resp. the Gross topology) on H. Let G be an additive subgroup of H and let $G_{p c}^{\land}$ (resp. $G_{b}^{\land}$ ) be the character group endowed with the topology of uniform convergence on precompact (resp. bounded) subsets of G. It is proved that if a positive-definite function φ on G is continuous in the Gross topology,...

The Multipliers for Functions with Fourier Transforms in Lp.

R. Larsen (1971)

Mathematica Scandinavica

The multipliers of a space of almost convergent continuous functions

F. Balibrea (1988)

Colloquium Mathematicae

The non-semi-simple term in the trace formula for rank one lattices.

Werner Hoffmann (1987)

Journal für die reine und angewandte Mathematik

The norm of the Fourier transform on finite abelian groups

John Gilbert, Ziemowit Rzeszotnik (2010)

Annales de l’institut Fourier

For $1 \leq p, q \leq \infty$ we calculate the norm of the Fourier transform from the $L^{p}$ space on a finite abelian group to the $L^{q}$ space on the dual group.

The norm spectrum in certain classes of commutative Banach algebras

H. S. Mustafayev (2011)

Colloquium Mathematicae

Let A be a commutative Banach algebra and let $Σ_{A}$ be its structure space. The norm spectrum σ(f) of the functional f ∈ A* is defined by $σ (f) = \bar{f \cdot a : a \in A} \cap Σ_{A}$ , where f·a is the functional on A defined by ⟨f·a,b⟩ = ⟨f,ab⟩, b ∈ A. We investigate basic properties of the norm spectrum in certain classes of commutative Banach algebras and present some applications.

The Norm-Strict Bidual of a Banach Algebra and the Dual of Cu(G).

Viktor Losert, Michael Grosser (1983)

Manuscripta mathematica

The number of extensions of an invariant mean

Joseph Max Rosenblatt (1976)

Compositio Mathematica

The order structure of the space of measures with continuous translation

Gérard L. G. Sleijpen (1982)

Annales de l'institut Fourier

Let $G$ be a locally compact group, and let $∥ ∥_{\infty}^{B}$ be a function norm on $L^{1} (G)_{loc}$ such that the space $L^{\infty} (G, B)$ of all locally integrable functions with finite $∥ ∥_{\infty}^{B}$ -norm is an invariant solid Banach function space. Consider the space $L_{RUC} (G, B)$ of all functions in $L^{\infty} (G, B)$ of which the right translation is a continuous map from $G$ into $L^{\infty} (G, B)$ . Characterizations of the case where $L_{RUC} (G, B)$ is a Riesz ideal of $L^{\infty} (G, B)$ are given in terms of the order-continuity of $∥ ∥_{\infty}^{B}$ on certain subspaces of $L^{\infty} (G)$ . Throughout the paper, the discussion is carried out in the context...

The Pick problem and the Cole-Lewis-Wermer theorem.

Cedeño, Gladys (2002)

Divulgaciones Matemáticas

The Pick problem in $H^{\infty}$ and $A (𝕋)$ and the Cole-Lewis-Wermer problem.

Cedeño, Gladys (2002)

Divulgaciones Matemáticas

Currently displaying 1941 – 1960 of 2289

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