Pub Date : 2022-12-01DOI: 10.1134/S2070046622050053
I. Blahota, G. Gát
{"title":"On the Rate of Approximation by Generalized de la Vallée Poussin Type Matrix Transform Means of Walsh-Fourier Series","authors":"I. Blahota, G. Gát","doi":"10.1134/S2070046622050053","DOIUrl":"https://doi.org/10.1134/S2070046622050053","url":null,"abstract":"","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"1 1","pages":"S59 - S73"},"PeriodicalIF":0.5,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83940248","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 : 2022-12-01DOI: 10.1134/S2070046622050041
K. Shamseddine, A. Shalev
{"title":"A Weaker Smoothness Criterion for the Inverse Function Theorem, the Intermediate Value Theorem, and the Mean Value Theorem in a non-Archimedean Setting","authors":"K. Shamseddine, A. Shalev","doi":"10.1134/S2070046622050041","DOIUrl":"https://doi.org/10.1134/S2070046622050041","url":null,"abstract":"","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"41 1","pages":"S45 - S58"},"PeriodicalIF":0.5,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89572856","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 : 2022-12-01DOI: 10.1134/S2070046622040069
Azzedine El Asri, Mohammed Babahmed
{"title":"Non-Archimedean Quasitriangular Operators and the Invariant Subspace Problem","authors":"Azzedine El Asri, Mohammed Babahmed","doi":"10.1134/S2070046622040069","DOIUrl":"https://doi.org/10.1134/S2070046622040069","url":null,"abstract":"","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"29 1","pages":"325-334"},"PeriodicalIF":0.5,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87685886","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 : 2022-12-01DOI: 10.1134/s2070046622050016
O. Kchit, H. Choulli
{"title":"On Monogenity of Certain Pure Number Fields Defined by $$x^{2^rcdot5^scdot 7^t}-m$$","authors":"O. Kchit, H. Choulli","doi":"10.1134/s2070046622050016","DOIUrl":"https://doi.org/10.1134/s2070046622050016","url":null,"abstract":"","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"21 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90733444","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 : 2022-08-05DOI: 10.1134/s2070046622030025
Tran Luu Cuong, K. Dung, P. T. Thuy
{"title":"Weighted Inequalities for Commutators of $$p$$-Adic Hausdorff Operators on Herz Spaces","authors":"Tran Luu Cuong, K. Dung, P. T. Thuy","doi":"10.1134/s2070046622030025","DOIUrl":"https://doi.org/10.1134/s2070046622030025","url":null,"abstract":"","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"22 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83279152","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 : 2022-08-05DOI: 10.1134/s2070046622030037
Luochen Zhao
Abstract
Given primes (ellne p), we record here a (p)-adic valued Fourier theory on a local field over (mathbf{Q}_ell), which is developed under the perspective of group schemes. As an application, by substituting rigid analysis for complex analysis, it leads naturally to the (p)-adic local functional equation at (ell), which strongly resembles the complex one in Tate’s thesis.
{"title":"Note on $$p$$ -Adic Local Functional Equation","authors":"Luochen Zhao","doi":"10.1134/s2070046622030037","DOIUrl":"https://doi.org/10.1134/s2070046622030037","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> Given primes <span>(ellne p)</span>, we record here a <span>(p)</span>-adic valued Fourier theory on a local field over <span>(mathbf{Q}_ell)</span>, which is developed under the perspective of group schemes. As an application, by substituting rigid analysis for complex analysis, it leads naturally to the <span>(p)</span>-adic local functional equation at <span>(ell)</span>, which strongly resembles the complex one in Tate’s thesis. </p>","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"17 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528342","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 : 2022-07-10DOI: 10.1134/s207004662205003x
U. Rozikov, I. A. Sattarov, A. Tukhtabaev
{"title":"Periodic Points of a $$p$$-Adic Operator and their $$p$$-Adic Gibbs Measures","authors":"U. Rozikov, I. A. Sattarov, A. Tukhtabaev","doi":"10.1134/s207004662205003x","DOIUrl":"https://doi.org/10.1134/s207004662205003x","url":null,"abstract":"","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"36 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89780320","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 : 2022-06-10DOI: 10.1134/s207004662204001x
A. Bikulov, A. P. Zubarev
{"title":"The Sojourn Time Problem for a $$p$$-Adic Random Walk and its Applications","authors":"A. Bikulov, A. P. Zubarev","doi":"10.1134/s207004662204001x","DOIUrl":"https://doi.org/10.1134/s207004662204001x","url":null,"abstract":"","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"54 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77998880","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}