談話会 Projections in the L1-algebra of a locally compact group

開催日時
2010年   10月 27日 10時 15分 ~ 2010年   10月 27日 11時 15分
場所
北大理学部4号館501室
講演者
Keith F. Taylor (Dalhousie University)
 
If $G$ is a locally compact group, then the Banach space of
complex-valued functions which are integrable with respect to
left Haar measure is denoted $L^1(G)$. Equipped with convolution as
product, $L^1(G)$ is a Banach algebra. A function $f\in L^1(G)$ is called
a projection if $f*f = f$ (we also require $f$ to be self-adjoint).
We will show how to construct projections when $G=\R^m H$,
the semi-direct of Euclidean space with a closed subspace $H$
of $GL_m(\R)$.
We will also show how this construction leads to the discovery of
multi-dimensional wavelet-like transforms.


関連項目

研究集会・セミナー・集中講義の一覧へ