Pub Date : 2023-10-13DOI: 10.1007/s43670-023-00070-w
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi
{"title":"Spectral sets and weak tiling","authors":"Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi","doi":"10.1007/s43670-023-00070-w","DOIUrl":"https://doi.org/10.1007/s43670-023-00070-w","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135859031","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}
Pub Date : 2023-09-29DOI: 10.1007/s43670-023-00069-3
Javad Mashreghi, William Verreault
We introduce an expansion scheme in reproducing kernel Hilbert spaces, which as a special case covers the celebrated Blaschke unwinding series expansion for analytic functions. The expansion scheme is further generalized to cover Hardy spaces $$H^p$$ , $$1
{"title":"Nonlinear expansions in reproducing kernel Hilbert spaces","authors":"Javad Mashreghi, William Verreault","doi":"10.1007/s43670-023-00069-3","DOIUrl":"https://doi.org/10.1007/s43670-023-00069-3","url":null,"abstract":"We introduce an expansion scheme in reproducing kernel Hilbert spaces, which as a special case covers the celebrated Blaschke unwinding series expansion for analytic functions. The expansion scheme is further generalized to cover Hardy spaces $$H^p$$ , $$1<p<infty $$ , viewed as Banach spaces of analytic functions with bounded evaluation functionals. In this setting a dichotomy is more transparent: depending on the multipliers used, the expansion of $$f in H^p$$ converges either to f in $$H^p$$ -norm or to its projection onto a model space generated by the corresponding multipliers. Some explicit instances of the general expansion scheme, which are not covered by the previously known methods, are also discussed.","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"72 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135193141","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}
Pub Date : 2023-09-08DOI: 10.1007/s43670-023-00068-4
Chun-Kit Lai, Alexander Sheynis
{"title":"Riesz bases of exponentials for multi-tiling measures","authors":"Chun-Kit Lai, Alexander Sheynis","doi":"10.1007/s43670-023-00068-4","DOIUrl":"https://doi.org/10.1007/s43670-023-00068-4","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91049350","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}
Pub Date : 2023-08-04DOI: 10.1007/s43670-023-00066-6
O. Scherzer, B. Hofmann, Z. Nashed
{"title":"Gauss–Newton method for solving linear inverse problems with neural network coders","authors":"O. Scherzer, B. Hofmann, Z. Nashed","doi":"10.1007/s43670-023-00066-6","DOIUrl":"https://doi.org/10.1007/s43670-023-00066-6","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"69 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89114705","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}
Pub Date : 2023-07-06DOI: 10.1007/s43670-023-00061-x
Ole Christensen, Marzieh Hasannasab
{"title":"Frames and generalized operator orbits","authors":"Ole Christensen, Marzieh Hasannasab","doi":"10.1007/s43670-023-00061-x","DOIUrl":"https://doi.org/10.1007/s43670-023-00061-x","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76643597","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}
Pub Date : 2023-06-01DOI: 10.1007/s43670-023-00060-y
W. Trebels
{"title":"The K-functional and saturated linear approximation processes","authors":"W. Trebels","doi":"10.1007/s43670-023-00060-y","DOIUrl":"https://doi.org/10.1007/s43670-023-00060-y","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82740514","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}
Pub Date : 2023-03-28DOI: 10.1007/s43670-023-00052-y
E. Başkaya, A. Boumenir
{"title":"Sampling the eigenvalues of a graph","authors":"E. Başkaya, A. Boumenir","doi":"10.1007/s43670-023-00052-y","DOIUrl":"https://doi.org/10.1007/s43670-023-00052-y","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76490992","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}
Pub Date : 2023-03-08DOI: 10.1007/s43670-023-00050-0
C. Markett
{"title":"Kramer-type sampling theorems associated with higher-order differential equations","authors":"C. Markett","doi":"10.1007/s43670-023-00050-0","DOIUrl":"https://doi.org/10.1007/s43670-023-00050-0","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85865484","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}
Pub Date : 2023-02-10DOI: 10.1007/s43670-023-00047-9
Maksym Neyra-Nesterenko, B. Adcock
{"title":"Publisher Correction: NESTANets: stable, accurate and efficient neural networks for analysis-sparse inverse problems","authors":"Maksym Neyra-Nesterenko, B. Adcock","doi":"10.1007/s43670-023-00047-9","DOIUrl":"https://doi.org/10.1007/s43670-023-00047-9","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74317573","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}
Pub Date : 2023-02-09DOI: 10.1007/s43670-023-00048-8
C. Bardaro, I. Mantellini, G. Schmeisser
{"title":"Exponential sampling with a multiplier","authors":"C. Bardaro, I. Mantellini, G. Schmeisser","doi":"10.1007/s43670-023-00048-8","DOIUrl":"https://doi.org/10.1007/s43670-023-00048-8","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"50 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87989062","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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