{"title":"Theory","authors":"Michael Kellmann, S. Kölling)","doi":"10.4324/9780429423857-2","DOIUrl":"https://doi.org/10.4324/9780429423857-2","url":null,"abstract":". This paper gives an introduction to the theory of oscillatory integrals of the first kind. Due to the complexity and multiplicity of critical points in higher dimensions, the decay of | I ( λ ) | in R d with d > 1 is far from clear-cut. However, using the method of stationary phase, one can establish an explicit decay property of the oscillatory integral in certain cases. We will first prove decay of | I ( λ ) | in the more straightforward case in which the phase function does not have a critical point. Next, we will analyze the case of a nondegenerate critical point and demonstrate some applications of oscillatory integrals in the study of partial differential equations.","PeriodicalId":418981,"journal":{"name":"Recovery and Stress in Sport","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114626755","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":"Comparison of the ARSS and the SRSS","authors":"M. Kellmann, S. Kölling","doi":"10.4324/9780429423857-6","DOIUrl":"https://doi.org/10.4324/9780429423857-6","url":null,"abstract":"","PeriodicalId":418981,"journal":{"name":"Recovery and Stress in Sport","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132097366","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 Short Recovery and Stress Scale","authors":"M. Kellmann, S. Kölling","doi":"10.4324/9780429423857-5","DOIUrl":"https://doi.org/10.4324/9780429423857-5","url":null,"abstract":"","PeriodicalId":418981,"journal":{"name":"Recovery and Stress in Sport","volume":"209 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122431887","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":"Overview","authors":"Michael Kellmann, S. Kölling)","doi":"10.4324/9780429423857-1","DOIUrl":"https://doi.org/10.4324/9780429423857-1","url":null,"abstract":"","PeriodicalId":418981,"journal":{"name":"Recovery and Stress in Sport","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134074602","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 Acute Recovery and Stress Scale","authors":"M. Kellmann, S. Kölling","doi":"10.4324/9780429423857-4","DOIUrl":"https://doi.org/10.4324/9780429423857-4","url":null,"abstract":"","PeriodicalId":418981,"journal":{"name":"Recovery and Stress in Sport","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122643263","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":"Test development","authors":"M. Kellmann, S. Kölling","doi":"10.4324/9780429423857-3","DOIUrl":"https://doi.org/10.4324/9780429423857-3","url":null,"abstract":"","PeriodicalId":418981,"journal":{"name":"Recovery and Stress in Sport","volume":"199 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115679955","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":"Case studies","authors":"M. Kellmann, S. Kölling","doi":"10.4324/9780429423857-7","DOIUrl":"https://doi.org/10.4324/9780429423857-7","url":null,"abstract":"","PeriodicalId":418981,"journal":{"name":"Recovery and Stress in Sport","volume":"124 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123195703","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}
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