Generalized Functions and Infinitesimals Export

@misc{citeulike:891451, abstract = {It has been widely believed for half a century that there will never exist a nonlinear theory of generalized functions, in any mathematical context. The aim of this text is to show the converse is the case and invite the reader to participate in the debate and to examine the consequences at an unexpectedly elementary level. The paradox appears as another instance of the historical controversy on the existence of infinitesimals in mathematics, which provides a connection with nonstandard analysis. This text is the written version of a talk at the meeting of Nonstandard Analysis, Pisa, june 2006.}, archivePrefix = {arXiv}, author = {Jf}, citeulike-article-id = {891451}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0610264}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0610264}, day = {8}, eprint = {math/0610264}, keywords = {generalized-functions, infinitesimals}, month = {Oct}, posted-at = {2006-10-10 15:35:58}, priority = {3}, title = {Generalized Functions and Infinitesimals}, url = {http://arxiv.org/abs/math/0610264}, year = {2006} }

TY - ELEC ID - citeulike:891451 L3 - citeulike-article-id:891451 N2 - It has been widely believed for half a century that there will never exist a nonlinear theory of generalized functions, in any mathematical context. The aim of this text is to show the converse is the case and invite the reader to participate in the debate and to examine the consequences at an unexpectedly elementary level. The paradox appears as another instance of the historical controversy on the existence of infinitesimals in mathematics, which provides a connection with nonstandard analysis. This text is the written version of a talk at the meeting of Nonstandard Analysis, Pisa, june 2006. TI - Generalized Functions and Infinitesimals KW - generalized-functions KW - infinitesimals AU - Jf PY - 2006/Oct/08/ UR - http://arxiv.org/abs/math/0610264 ER -