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Bulletin of the Polish Academy of Sciences. Mathematics最新文献

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Regularity of fundamental solutions for Lévy-type operators lsamv型算子基本解的正则性
Bulletin of the Polish Academy of Sciences. Mathematics Pub Date : 2023-01-01 DOI: 10.4064/ba230424-12-9
Karol Szczypkowski
{"title":"Regularity of fundamental solutions for Lévy-type operators","authors":"Karol Szczypkowski","doi":"10.4064/ba230424-12-9","DOIUrl":"https://doi.org/10.4064/ba230424-12-9","url":null,"abstract":"For a class of non-symmetric non-local Lévy-type operators $mathcal L^{kappa}$, which include those of the form $$ mathcal L^{kappa}f(x):= int _{mathbb R^d}( f(x+z)-f(x)- mathbf 1_{|z| lt 1} langle z,nabla f(x)rangle )kappa (x,z)J(z), dz, $$","PeriodicalId":487279,"journal":{"name":"Bulletin of the Polish Academy of Sciences. Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135784801","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}
引用次数: 0
Explicit rational group law on hyperelliptic Jacobians of any genus 任意属超椭圆雅可比矩阵上的显式有理群律
Bulletin of the Polish Academy of Sciences. Mathematics Pub Date : 2023-01-01 DOI: 10.4064/ba230330-7-7
David Urbanik
{"title":"Explicit rational group law on hyperelliptic Jacobians of any genus","authors":"David Urbanik","doi":"10.4064/ba230330-7-7","DOIUrl":"https://doi.org/10.4064/ba230330-7-7","url":null,"abstract":"It is well-known that abelian varieties are projective, and so there exist explicit polynomial and rational functions which define both the variety and its group law. It is however difficult to find any explicit polynomial and rational functions describin","PeriodicalId":487279,"journal":{"name":"Bulletin of the Polish Academy of Sciences. Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135783632","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}
引用次数: 0
On the Erdős–Dushnik–Miller theorem without AC 关于没有AC的Erdős-Dushnik-Miller定理
Bulletin of the Polish Academy of Sciences. Mathematics Pub Date : 2023-01-01 DOI: 10.4064/ba221221-6-6
Amitayu Banerjee, Alexa Gopaulsingh
{"title":"On the Erdős–Dushnik–Miller theorem without AC","authors":"Amitayu Banerjee, Alexa Gopaulsingh","doi":"10.4064/ba221221-6-6","DOIUrl":"https://doi.org/10.4064/ba221221-6-6","url":null,"abstract":"In $mathsf {ZFA}$ (Zermelo–Fraenkel set theory with the Axiom of Extensionality weakened to allow the existence of atoms), we prove that the strength of the proposition $mathsf {EDM}$ (“If $G=(V_{G}, E_{G})$ is a graph such that $V_{G}$ is uncountable,","PeriodicalId":487279,"journal":{"name":"Bulletin of the Polish Academy of Sciences. Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135828102","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}
引用次数: 0
On semibounded expansions of ordered groups 关于有序群的半有界展开
Bulletin of the Polish Academy of Sciences. Mathematics Pub Date : 2023-01-01 DOI: 10.4064/ba230725-27-9
Pantelis E. Eleftheriou, Alex Savatovsky
{"title":"On semibounded expansions of ordered groups","authors":"Pantelis E. Eleftheriou, Alex Savatovsky","doi":"10.4064/ba230725-27-9","DOIUrl":"https://doi.org/10.4064/ba230725-27-9","url":null,"abstract":"We explore <em>semibounded</em> expansions of arbitrary ordered groups; namely, expansions that do not define a field on the whole universe. We show that if $mathcal R=langle mathbb R, lt , +, ldots rangle $ is a semibounded o-minimal structure and","PeriodicalId":487279,"journal":{"name":"Bulletin of the Polish Academy of Sciences. Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136297296","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}
引用次数: 2
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