V. K. Harish

Search this author in Google Scholar

Articles: 1

A new metric in the study of shift invariant subspaces of $L^2(\mathbb{R}^n)$

MFAT 18 (2012), no. 3, 214-219

214-219

A new metric on the set of all shift invariant subspaces of $L^2(\mathbb{R}^n)$ is defined and the properties are studied. The limit of a sequence of principal shift invariant subspaces under this metric is principal shift invariant is proved. Also, the uniform convergence of a sequence of local trace functions is characterized in terms of convergence under this new metric.

All Issues

2023 1-2 3-4
2022 1 2 3 4
2021 1 2 3 4
2020 1 2 3 4
2019 1 2 3 4
2018 1 2 3 4
2017 1 2 3 4
2016 1 2 3 4
2015 1 2 3 4
2014 1 2 3 4
2013 1 2 3 4
2012 1 2 3 4
2011 1 2 3 4
2010 1 2 3 4
2009 1 2 3 4
2008 1 2 3 4
2007 1 2 3 4
2006 1 2 3 4
2005 1 2 3 4
2004 1 2 3 4
2003 1 2 3 4
2002 1 2 3 4
2001 1 2 3 4
2000 1 2 3 4
1999 1 2 3 4
1998 1 2 3 4
1997 1 2 3 4
1996 1 2 3
1995 1