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Уфимская осенняя математическая школа - 2022. Т.1最新文献

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On the type of the meromorphic function of finite order in half-plane 半平面上有限阶亚纯函数的类型
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 2023-06-01 DOI: 10.33184/mnkuomsh1t-2022-09-28.51
M. Kabanko
{"title":"On the type of the meromorphic function of finite order in half-plane","authors":"M. Kabanko","doi":"10.33184/mnkuomsh1t-2022-09-28.51","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.51","url":null,"abstract":"Let $f(z)$ be a meromorphic function on the complex plane of finite order $rho>0$. Let $rho(r)$ be a proximate order in the sense of Boutroux such that $limsuplimits_{rtoinfty}rho(r)=rho$, $liminflimits_{rtoinfty}rho(r)=alpha>0$. If $[alpha]<alphaleqslantrho<[alpha]+1$ then the types of $T(r,f)$ and $|N|(r,f)$ coincide with respect to $rho(r)$. If there are integers between $alpha$ and $rho$, then the resulting criterion is formulated in terms of the upper density of zeros and poles of the function $f$ and their argument symmetry.","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125615608","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
Duhamel product in spaces of entire functions of exponential type 指数型全函数空间中的Duhamel积
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 2022-12-28 DOI: 10.33184/mnkuomsh1t-2022-09-28.39
P. A. Ivanov
{"title":"Duhamel product in spaces of entire functions of exponential type","authors":"P. A. Ivanov","doi":"10.33184/mnkuomsh1t-2022-09-28.39","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.39","url":null,"abstract":"Let Ω be a polydomain in CN containing the point 0; H(Ω) be the space of all holomorphic functions on Ω with the compact open topology. In the dual H(Ω)' of H(Ω) a multiplication ⊛ is introduced and investigated. It is defined by the convolution rule with the help of shifts which are associated with the system of partial backward shift operators. The realizations of the algebra (H(Ω)',⊛) with the help of the Cauchy and the Laplace transformations and its representation in H(Ω) are obtained. By means of the Laplace transformation the introduced multiplication ⊛ is realized as the many-dimensional Duhamel product in the appropriate space of entire functions of exponential type.","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134524520","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
GENERALISATION OF MICHELSON CONTRAST FOR OPERATORS AND ITS PROPERTIES 算子的迈克尔逊对比的推广及其性质
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 2020-10-20 DOI: 10.33184/mnkuomsh1t-2022-09-28.1
S. Abed, I. Nikolaeva, A. Novikov
{"title":"GENERALISATION OF MICHELSON CONTRAST FOR OPERATORS AND ITS PROPERTIES","authors":"S. Abed, I. Nikolaeva, A. Novikov","doi":"10.33184/mnkuomsh1t-2022-09-28.1","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.1","url":null,"abstract":"In this article we consider generalisation of Michelson contrast for positive operators of countably decomposable W ∗ -algebras and find a few several of its properties.","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124392952","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
A uniqueness theorem for entire functions of exponential type. 指数型整个函数的唯一性定理。
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 1900-01-01 DOI: 10.33184/mnkuomsh1t-2022-09-28.59
{"title":"A uniqueness theorem for entire functions of exponential type.","authors":"","doi":"10.33184/mnkuomsh1t-2022-09-28.59","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.59","url":null,"abstract":"","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116779764","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
Minimal solutions to difference equation and the theory of almost periodic operators 差分方程的最小解与概周期算子理论
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 1900-01-01 DOI: 10.33184/mnkuomsh1t-2022-09-28.26
{"title":"Minimal solutions to difference equation and the theory of almost periodic operators","authors":"","doi":"10.33184/mnkuomsh1t-2022-09-28.26","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.26","url":null,"abstract":"","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125871125","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 operator group generated by a one-dimensional Dirac system 一维狄拉克系统生成的算子群
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 1900-01-01 DOI: 10.33184/mnkuomsh1t-2022-09-28.21
{"title":"On the operator group generated by a one-dimensional Dirac system","authors":"","doi":"10.33184/mnkuomsh1t-2022-09-28.21","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.21","url":null,"abstract":"","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124021908","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
STRUCTURE OF ESSENTIAL SPECTRA AND DISCRETE SPECTRUM OF THE ENERGY OPERATOR OF SIX-ELECTRON SYSTEMS IN THE HUBBARD MODEL. SECOND TRIPLET STATE hubbard模型中六电子系统能量算符的本质谱和离散谱结构。第二三重态
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 1900-01-01 DOI: 10.33184/mnkuomsh1t-2022-09-28.24
{"title":"STRUCTURE OF ESSENTIAL SPECTRA AND DISCRETE SPECTRUM OF THE ENERGY OPERATOR OF SIX-ELECTRON SYSTEMS IN THE HUBBARD MODEL. SECOND TRIPLET STATE","authors":"","doi":"10.33184/mnkuomsh1t-2022-09-28.24","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.24","url":null,"abstract":"","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"218 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115923309","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 equivalence constants for moduli of continuity of various types 不同类型连续模的等价常数
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 1900-01-01 DOI: 10.33184/mnkuomsh1t-2022-09-28.57
{"title":"On equivalence constants for moduli of continuity of various types","authors":"","doi":"10.33184/mnkuomsh1t-2022-09-28.57","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.57","url":null,"abstract":"","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134120877","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
The root-mean-square approximation of functions by Fourier-Chebyshev sums 用傅里叶-切比雪夫和求函数的均方根近似
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 1900-01-01 DOI: 10.33184/mnkuomsh1t-2022-09-28.69
{"title":"The root-mean-square approximation of functions by Fourier-Chebyshev sums","authors":"","doi":"10.33184/mnkuomsh1t-2022-09-28.69","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.69","url":null,"abstract":"","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"7 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132442982","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
Entire functions of sine type for convex apeirogons 凸顶体的正弦型全函数
Уфимская осенняя математическая школа - 2022. Т.1 Pub Date : 1900-01-01 DOI: 10.33184/mnkuomsh1t-2022-09-28.43
{"title":"Entire functions of sine type for convex apeirogons","authors":"","doi":"10.33184/mnkuomsh1t-2022-09-28.43","DOIUrl":"https://doi.org/10.33184/mnkuomsh1t-2022-09-28.43","url":null,"abstract":"","PeriodicalId":243334,"journal":{"name":"Уфимская осенняя математическая школа - 2022. Т.1","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130457356","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
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