This book explores a number of new applications of invariant quasi-finite diffused Borel measures in Polish groups for a solution of various problems stated by famous mathematicians (for example, Carmichael, Erdos, Fremlin, Darji and so on). By using natural Borel embeddings of an infinite-dimensional function space into the standard topological vector space of all real-valued sequences, (endowed with the Tychonoff topology) a new approach for the construction of different translation-invariant quasi-finite diffused Borel measures with suitable properties and for their applications in a solution of various partial differential equations in an entire vector space is proposed.
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格式 PDF ● 网页 227 ● ISBN 9781629488363 ● 编辑 Gogi Pantsulaia ● 出版者 Nova Science Publishers ● 发布时间 2014 ● 下载 3 时 ● 货币 EUR ● ID 7223978 ● 复制保护 Adobe DRM
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