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Wave equation and multiplier estimates on ax + b groups

Detlef Müller, Christoph Thiele (2007)

Studia Mathematica

Let L be the distinguished Laplacian on certain semidirect products of ℝ by ℝⁿ which are of ax + b type. We prove pointwise estimates for the convolution kernels of spectrally localized wave operators of the form $e^{i t \sqrt L} ψ (\sqrt L / λ)$ for arbitrary time t and arbitrary λ > 0, where ψ is a smooth bump function supported in [-2,2] if λ ≤ 1 and in [1,2] if λ ≥ 1. As a corollary, we reprove a basic multiplier estimate of Hebisch and Steger [Math. Z. 245 (2003)] for this particular class of groups, and derive Sobolev...

Wavelet transform associated to an induced representation of $S L (n + 2, R)$

Takeshi Kawazoe (1996)

Annales de l'I.H.P. Physique théorique

Wavelet transforms and symmetric tube domains.

Liu, Heping (1998)

Journal of Lie Theory

Weak Almost Periodicity of Haar Measurable Functions.

D. Helmer (1985)

Monatshefte für Mathematik

Weak amenability and semidirect products in simple Lie groups.

Brian Dorofaeff (1996)

Mathematische Annalen

Weak amenability of the universal covering group fo SU (1, n).

Mogens Lemvig Hansen (1990)

Mathematische Annalen

Weak Closure Theorem fails for ℤ²-actions

T. Downarowicz, J. Kwiatkowski (2002)

Studia Mathematica

We construct an example of a Morse ℤ²-action which has rank one and whose centralizer contains elements which cannot be weakly approximated by the transformations of the action.

Weak Containment and Tensor Products of Group Representations.

Eberhard Kaniuth (1982)

Mathematische Zeitschrift

Weak Containment and Tensor Products of Group Representations. II.

Eberhard Kaniuth (1985)

Mathematische Annalen

Weak continuity properties of topologized groups

J. Cao, R. Drozdowski, Zbigniew Piotrowski (2010)

Czechoslovak Mathematical Journal

We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if $(G, \cdot, τ)$ is a regular right (left) semitopological group with $dev (G) < Nov (G)$ such that all left (right) translations are feebly continuous, then $(G, \cdot, τ)$ is a topological group. This extends several results in literature.

Weakly Almost Periodic Functions.

William A. Veech (1979)

Monatshefte für Mathematik

Weakly almost periodic functions and irregularity of multiplication in semigroup algebras.

Heneri A.M. Dzinotyiweyi (1980)

Mathematica Scandinavica

Weakly almost periodic representations of semigroups by Markov operators.

H.D. Junghenn (1986/1987)

Semigroup forum

Weakly almost periodic vector-valued functions [Book]

Seymour Goldberg, Paul Irwin (1979)

Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra

Edmond E. Granirer (2013)

Colloquium Mathematicae

It is shown that if G is a weakly amenable unimodular group then the Banach algebra $A_{p}^{r} (G) = A_{p} \cap L^{r} (G)$ , where $A_{p} (G)$ is the Figà-Talamanca-Herz Banach algebra of G, is a dual Banach space with the Radon-Nikodym property if 1 ≤ r ≤ max(p,p’). This does not hold if p = 2 and r > 2.

Currently displaying 1 – 20 of 44

Page 1 Next

Displaying 1 – 20 of 44

Wave equation and multiplier estimates on ax + b groups

Wavelet transform associated to an induced representation of $S L (n + 2, R)$

Wavelet transforms and symmetric tube domains.

Weak Almost Periodicity of Haar Measurable Functions.

Weak amenability and semidirect products in simple Lie groups.

Weak amenability of the universal covering group fo SU (1, n).

Weak Closure Theorem fails for ℤ²-actions

Weak Containment and Tensor Products of Group Representations.

Weak Containment and Tensor Products of Group Representations. II.

Weak continuity properties of topologized groups

Weakly Almost Periodic Functions.

Weakly almost periodic functions and irregularity of multiplication in semigroup algebras.

Weakly almost periodic representations of semigroups by Markov operators.

Weakly almost periodic vector-valued functions [Book]

Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra

Weakly commensurable arithmetic groups and isospectral locally symmetric spaces

Weakly commutative Lie semigroups.

Weakly uniform completely O-simple semigroups of matrix type.

Weakly uniform monothetic semigroups.

Weighted diffeomorphism groups of Banach spaces and weighted mapping groups [Book]

Currently displaying 1 – 20 of 44