{"title":"Measures on infinite dimensional spaces","authors":"山崎 泰郎","doi":"10.1142/9789811214790_0003","DOIUrl":"https://doi.org/10.1142/9789811214790_0003","url":null,"abstract":"This book is based on lectures given at Yale and Kyoto Universities and provides a self-contained detailed exposition of the following subjects: 1) The construction of infinite dimensional measures, 2) Invariance and quasi-invariance of measures under translations. This book furnishes an important tool for the analysis of physical systems with infinite degrees of freedom (such as field theory, statistical physics and field dynamics) by providing material on the foundations of these problems.","PeriodicalId":312122,"journal":{"name":"Mathematical Feynman Path Integrals and Their Applications","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126878271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A primer in measure theory","authors":"","doi":"10.1142/9789811214790_0002","DOIUrl":"https://doi.org/10.1142/9789811214790_0002","url":null,"abstract":"","PeriodicalId":312122,"journal":{"name":"Mathematical Feynman Path Integrals and Their Applications","volume":"BME-24 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114125218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Projective systems of functionals and the Fourier transform approach","authors":"","doi":"10.1142/9789811214790_0004","DOIUrl":"https://doi.org/10.1142/9789811214790_0004","url":null,"abstract":"","PeriodicalId":312122,"journal":{"name":"Mathematical Feynman Path Integrals and Their Applications","volume":"144 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124610724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Feynman path integrals and the Schrödinger equation","authors":"S. Mazzucchi","doi":"10.1142/9789812836915_0003","DOIUrl":"https://doi.org/10.1142/9789812836915_0003","url":null,"abstract":"","PeriodicalId":312122,"journal":{"name":"Mathematical Feynman Path Integrals and Their Applications","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117285201","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The stationary phase method and the semiclassical limit of quantum mechanics","authors":"S. Mazzucchi","doi":"10.1142/9789812836915_0004","DOIUrl":"https://doi.org/10.1142/9789812836915_0004","url":null,"abstract":"","PeriodicalId":312122,"journal":{"name":"Mathematical Feynman Path Integrals and Their Applications","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132049124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Alternative approaches to Feynman path integration","authors":"S. Mazzucchi","doi":"10.1142/9789812836915_0006","DOIUrl":"https://doi.org/10.1142/9789812836915_0006","url":null,"abstract":"","PeriodicalId":312122,"journal":{"name":"Mathematical Feynman Path Integrals and Their Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129966872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}