A Nonlinear Theory of Tensor Distributions Export

@misc{citeulike:4942201, abstract = {. The coordinate invariant theory of generalised functions of Colombeau and Meril is reviewed and extended to enable the construction of multi-index generalised tensor functions whose transformation laws coincide with their counterparts in classical distribution theory. 1. Introduction Colombeau\&\#039;s theory of new generalised functions (Colombeau, 1984) has increasingly had an important role to play in General Relativity, enabling a distributional interpretation to be given to products of distributions which would otherwise be undefined in the framework of Classical distribution theory. Recent applications of Colombeau\&\#039;s theory to Relativity have included the calculation of distributional curvatures which correspond to metrics of low differentiability, such as those which occur in space-times with thin cosmic strings (Clarke et al, 1996; Wilson 1997) and Kerr singularities (Balasin, 1997), and the electromagnetic field tensor of ultra-relativistic Riessner-Nordstr{\o}m solution (Steinbauer,...}, author = {Erwin, The and Boltzmanngasse, Schrodinger I. and Vickers, J. A. and Vickers, J. A. and Wilson, J. P.}, citeulike-article-id = {4942201}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.7974}, keywords = {functional\_analysis, physics}, posted-at = {2009-06-24 10:50:07}, priority = {2}, title = {A Nonlinear Theory of Tensor Distributions}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.7974}, year = {1998} }

TY - ELEC ID - citeulike:4942201 L3 - citeulike-article-id:4942201 N2 - . The coordinate invariant theory of generalised functions of Colombeau and Meril is reviewed and extended to enable the construction of multi-index generalised tensor functions whose transformation laws coincide with their counterparts in classical distribution theory. 1. Introduction Colombeau's theory of new generalised functions (Colombeau, 1984) has increasingly had an important role to play in General Relativity, enabling a distributional interpretation to be given to products of distributions which would otherwise be undefined in the framework of Classical distribution theory. Recent applications of Colombeau's theory to Relativity have included the calculation of distributional curvatures which correspond to metrics of low differentiability, such as those which occur in space-times with thin cosmic strings (Clarke et al, 1996; Wilson 1997) and Kerr singularities (Balasin, 1997), and the electromagnetic field tensor of ultra-relativistic Riessner-Nordstrøm solution (Steinbauer,... TI - A Nonlinear Theory of Tensor Distributions KW - functional_analysis KW - physics AU - Erwin, The AU - Boltzmanngasse, Schrodinger AU - Vickers, JA AU - Vickers, JA AU - Wilson, JP PY - 1998/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.7974 ER -