Keith F. Taylor

activity

20002026

most citedIntegrable wavelet transforms with abelian dilation groups

9 citations · 10 across the 7 of their papers we have counts for

collaborators

8 papers

math.FA2026

Subspaces of $L^{2} (R^{n})$ Invariant Under Shifts by a Crystal Group

Tom Potter, Keith Taylor

For a crystal group $Γ$ in dimension $n$ , a closed subspace $V$ of $L^{2} (R^{n})$ is called $Γ$ --shift invariant if, for every $f \in V$ , the shifts of $f$ b…

math.FA2022

A Two Plus One Dimensional Continuous Wavelet Transform

Raja Milad, Keith F. Taylor

The group $G_{2}$ of invertible affine transformations of $R^{2}$ has, up to equivalence, one square--integrable representation. Two new realizations of this representation ar…

math.RT2021

Harmonic Analysis on the Affine Group of the Plane

Raja Milad, Keith F. Taylor

For any natural number $n$ , the group $G_{n}$ of all invertible affine transformations of $n$ -dimensional Euclidean space has, up to equivalence, just one square-integrable represent…

math.FA2020

Decomposing the wavelet representation for shifts by wallpaper groups

Lawrence W. Baggett, Kathy D. Merrill, Judith A. Packer +1

The wavelet group and wavelet representation associated with shifts coming from a two dimensional crystal symmetry group $Γ$ and dilations by powers of 3, are defined and studied.…

math.RT2015

Projections in $L^{1} (G)$ ; the unimodular case

Mahmood Alaghmandan, Mahya Ghandehari, Nico Spronk +1

We consider the issue of describing all self-adjoint idempotents (projections) in $L^{1} (G)$ when $G$ is a unimodular locally compact group. The approach is to take advantage of know…

math.RT2015★ 9 cited

Integrable wavelet transforms with abelian dilation groups

Bradley Currey, Hartmut Führ, Keith Taylor

We consider a class of semidirect products $G = R^{n} ⋊ H$ , with $H$ a suitably chosen abelian matrix group. The choice of $H$ ensures that there is a wavelet inversio…