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Armenian Journal of Mathematics最新文献

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On the invertibility of one integral operator 关于一个积分算子的可逆性
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-04-30 DOI: 10.52737/18291163-2022.14.6-1-10
Grigor Kirakosyan
{"title":"On the invertibility of one integral operator","authors":"Grigor Kirakosyan","doi":"10.52737/18291163-2022.14.6-1-10","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.6-1-10","url":null,"abstract":"The present paper considers an integral operator defined on the entire real axis, which differs from the Hilbert transform with terms where kernels are constructed using integral exponential functions. The considered operator has similar properties with respect to the Hilbert transform. The form of the inverse operator is obtained.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48344289","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
New Tauberian theorems for statistical Cesàro summability of a function of three variables over a locally convex space 局部凸空间上三元函数统计Cesàro可和性的新Tauberian定理
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-04-01 DOI: 10.52737/18291163-2022.14.5-1-15
Carlos Granados, A. Das
{"title":"New Tauberian theorems for statistical Cesàro summability of a function of three variables over a locally convex space","authors":"Carlos Granados, A. Das","doi":"10.52737/18291163-2022.14.5-1-15","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.5-1-15","url":null,"abstract":"In this paper, we prove two new Tauberian theorems via statistical Cesàro summability mean of a continuous function of three variables by using oscillating behavior and De la Vallée Poussin means of a triple integral over a locally convex space. Moreover, some remarks and corollaries are provided here to support our results.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49121120","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: 3
Description of random fields by systems of conditional distributions 用条件分布系统描述随机场
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-18 DOI: 10.52737/18291163-2022.14.8-1-40
L. Khachatryan
{"title":"Description of random fields by systems of conditional distributions","authors":"L. Khachatryan","doi":"10.52737/18291163-2022.14.8-1-40","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.8-1-40","url":null,"abstract":"In this paper, we consider the direct and inverse problems of the description of lattice positive random fields by various systems of finite-dimensional (as well as one-point) probability distributions parameterized by boundary conditions. In the majority of cases, we provide necessary and sufficient conditions for the system to be a conditional distribution of a (unique) random field. The exception is Dobrushin-type systems for which only sufficient conditions are known. Also, we discuss possible applications of the considered systems.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45003016","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
Annular region containing all the zeros of lacunary-type polynomials 包含空位型多项式所有零点的环形区域
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-10 DOI: 10.52737/18291163-2022.14.4-1-9
A. Kumar, Z. Manzoor, B. Zargar
{"title":"Annular region containing all the zeros of lacunary-type polynomials","authors":"A. Kumar, Z. Manzoor, B. Zargar","doi":"10.52737/18291163-2022.14.4-1-9","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.4-1-9","url":null,"abstract":"","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48277785","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: 1
Integral representation of one class of entire functions 一类整函数的积分表示
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-10 DOI: 10.52737/18291163-2022.14.1-1-9
R. Khats
{"title":"Integral representation of one class of entire functions","authors":"R. Khats","doi":"10.52737/18291163-2022.14.1-1-9","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.1-1-9","url":null,"abstract":"In this paper, we study an integral representation of one class of entire functions. Conditions for the existence of this representation in terms of certain solutions of some differential equations are found. We obtain asymptotic estimates of entire functions from the considered class of functions. We also give examples of entire functions from this class","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45254325","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: 1
Evaluation subgroups of a map and the rationalized G-sequence 映射的求值子群与有理g序列
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-10 DOI: 10.52737/18291163-2022.14.2-1-10
O. Maphane
{"title":"Evaluation subgroups of a map and the rationalized G-sequence","authors":"O. Maphane","doi":"10.52737/18291163-2022.14.2-1-10","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.2-1-10","url":null,"abstract":". In this paper, we determine, in terms of the Sullivan models, rational evaluation subgroups of the inclusion C P ( n ) (cid:44) → C P ( n + k ) between complex projective spaces and, more generally, the G -sequence of the homotopy monomorphism ι : X (cid:44) → Y between simply connected formal homogeneous spaces for which π ∗ ( Y ) ⊗ Q is finite dimensional.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43470155","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
Exponential decay for a strain gradient porous thermoelasticity with second sound 具有第二声的应变梯度多孔热弹性的指数衰减
IF 0.4
Armenian Journal of Mathematics Pub Date : 2022-02-10 DOI: 10.52737/18291163-2022.14.3-1-23
A. Ahmima, A. Fareh
{"title":"Exponential decay for a strain gradient porous thermoelasticity with second sound","authors":"A. Ahmima, A. Fareh","doi":"10.52737/18291163-2022.14.3-1-23","DOIUrl":"https://doi.org/10.52737/18291163-2022.14.3-1-23","url":null,"abstract":"","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47245445","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
Controlled generalized fusion frame in the tensor product of Hilbert spaces Hilbert空间张量积中的受控广义融合框架
IF 0.4
Armenian Journal of Mathematics Pub Date : 2021-12-28 DOI: 10.52737/18291163-2021.13.13-1-18
Prasenjit Ghosh, T. Samanta
{"title":"Controlled generalized fusion frame in the tensor product of Hilbert spaces","authors":"Prasenjit Ghosh, T. Samanta","doi":"10.52737/18291163-2021.13.13-1-18","DOIUrl":"https://doi.org/10.52737/18291163-2021.13.13-1-18","url":null,"abstract":"We present controlled by operators generalized fusion frame in the tensor product of Hilbert spaces and discuss some of its properties. We also describe the frame operator for a pair of controlled $g$-fusion Bessel sequences in the tensor product of Hilbert spaces.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42306176","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: 1
The soft Jacobson radical of a commutative ring 交换环的软Jacobson根
IF 0.4
Armenian Journal of Mathematics Pub Date : 2021-12-21 DOI: 10.52737/18291163-2021.13.11-1-9
Jayanta Ghosh, D. Mandal, T. Samanta
{"title":"The soft Jacobson radical of a commutative ring","authors":"Jayanta Ghosh, D. Mandal, T. Samanta","doi":"10.52737/18291163-2021.13.11-1-9","DOIUrl":"https://doi.org/10.52737/18291163-2021.13.11-1-9","url":null,"abstract":"In this paper, the notion of the soft Jacobson radical of a ring is defined. A relationship between the soft Jacobson radical of a ring and Jacobson semisimple ring is established. Some properties of this notion have been studied under homomorphism.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46868143","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
Independence of the Axioms of Hypergroup over the Group 超群公理对群的独立性
IF 0.4
Armenian Journal of Mathematics Pub Date : 2021-12-21 DOI: 10.52737/18291163-2021.13.12-1-11
Sh. Navasardyan
{"title":"Independence of the Axioms of Hypergroup over the Group","authors":"Sh. Navasardyan","doi":"10.52737/18291163-2021.13.12-1-11","DOIUrl":"https://doi.org/10.52737/18291163-2021.13.12-1-11","url":null,"abstract":"The independence of the axioms of hypergroup over the group is proven. The proof is composed of two parts. In the first part, the independence of the axioms $(P3), (A1), (A3), (A5)$ in the system of axioms of hypergroup over the group is shown by fixing the structural mappings $Phi$ and $Xi$. In the same way, in the second part of the proof, the independence of the axioms $(P1), (P2), (A2), (A4)$ is shown by fixing $Psi$ and $Lambda$.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43303500","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: 1
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