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Functional Analysis and Its Applications最新文献

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Reconstructions of the Asymptotics of an Integral Determined by a Hyperbolic Unimodal Singularity 双曲单峰奇点确定的积分渐近线的重构
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-12-01 DOI: 10.1134/s0016266323040056
{"title":"Reconstructions of the Asymptotics of an Integral Determined by a Hyperbolic Unimodal Singularity","authors":"","doi":"10.1134/s0016266323040056","DOIUrl":"https://doi.org/10.1134/s0016266323040056","url":null,"abstract":"<span> <h3>Abstract</h3> <p> The asymptotic behavior of an exponential integral is studied in which the phase function has the form of a special deformation of the germ of a hyperbolic unimodal singularity of type <span> <span>(T_{4,4,4})</span> </span>. The integral under examination satisfies the heat equation, its Cole–Hopf transformation gives a solution of the vector Burgers equation in four-dimensional space-time, and its principal asymptotic approximations are expressed in terms of real solutions of systems of third-degree algebraic equations. The obtained analytical results make it possible to trace the bifurcations of an asymptotic structure depending on the parameter of the modulus of the singularity. </p> </span>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140590245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Connes Integration Formula: A Constructive Approach cones积分公式:一个建设性的方法
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010045
D. V. Zanin, F. A. Sukochev
{"title":"Connes Integration Formula: A Constructive Approach","authors":"D. V. Zanin,&nbsp;F. A. Sukochev","doi":"10.1134/S0016266323010045","DOIUrl":"10.1134/S0016266323010045","url":null,"abstract":"<p> A version of Connes Integration Formula which provides concrete asymptotics of eigenvalues is given. This radically extends the class of quantum-integrable functions on compact Riemannian manifolds. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4231634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Image of a Lagrangian Germ of Type (E_6^pm) 拉格朗日型胚芽的象 (E_6^pm)
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010094
V. D. Sedykh
{"title":"The Image of a Lagrangian Germ of Type (E_6^pm)","authors":"V. D. Sedykh","doi":"10.1134/S0016266323010094","DOIUrl":"10.1134/S0016266323010094","url":null,"abstract":"<p> It is proved that the image of a stable germ of type <span>(E_6^pm)</span> of a Lagrangian map to <span>(mathbb R^n)</span> is homeomorphic to the germ at zero of a closed half-space. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4233945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 Structure of Coset (n)-Valued Topological Groups on (S^3) and (mathbb{R}P^3) 关于(S^3)和上的陪集(n)值拓扑群的结构 (mathbb{R}P^3)
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010070
D. V. Gugnin
{"title":"On the Structure of Coset (n)-Valued Topological Groups on (S^3) and (mathbb{R}P^3)","authors":"D. V. Gugnin","doi":"10.1134/S0016266323010070","DOIUrl":"10.1134/S0016266323010070","url":null,"abstract":"<p> Three-dimensional manifolds carrying the structure of <span>(n)</span>-valued coset topological groups originating from the Lie groups <span>(Sp(1))</span> and <span>(SO(3))</span> are classified. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4233948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nash-Type Inequalities on Metric-Measure Spaces 度量-测度空间上的纳什型不等式
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010069
A. Ranjbar-Motlagh
{"title":"Nash-Type Inequalities on Metric-Measure Spaces","authors":"A. Ranjbar-Motlagh","doi":"10.1134/S0016266323010069","DOIUrl":"10.1134/S0016266323010069","url":null,"abstract":"<p> We extend homogeneous and inhomogeneous Nash-type inequalities to abstract metric-measure spaces. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4235132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Singularities Equivariantly Simple with Respect to Irreducible Representations 关于不可约表示的等效简单奇点
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010057
I. A. Proskurnin
{"title":"Singularities Equivariantly Simple with Respect to Irreducible Representations","authors":"I. A. Proskurnin","doi":"10.1134/S0016266323010057","DOIUrl":"10.1134/S0016266323010057","url":null,"abstract":"<p> There are many papers on the classification of singularities that are invariant or equivariant under the action of a finite group. However, since the problem is difficult, most of these papers consider only special cases, for example, the case of the action of a particular group of small order. In this paper, an attempt is made to prove general statements about equivariantly simple singularities; namely, singularities equivariantly simple with respect to irreducible actions of finite groups are classified. A criterion for the existence of such equivariantly simple singularities is also given. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4235136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Weak Solvability of an Inhomogeneous Dynamic Problem for a Viscoelastic Continuum with Memory 具有记忆的粘弹性连续体非齐次动力问题的弱可解性
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010082
V. G. Zvyagin, V. P. Orlov
{"title":"The Weak Solvability of an Inhomogeneous Dynamic Problem for a Viscoelastic Continuum with Memory","authors":"V. G. Zvyagin,&nbsp;V. P. Orlov","doi":"10.1134/S0016266323010082","DOIUrl":"10.1134/S0016266323010082","url":null,"abstract":"<p> The existence of a weak solution to the initial boundary value problem for the equations of motion of a viscoelastic fluid with memory along the trajectories of a nonsmooth velocity field with inhomogeneous boundary condition is proved. The analysis involves Galerkin-type approximations of the original problem followed by the passage to the limit based on a priori estimates. To study the behavior of trajectories of a nonsmooth velocity field, the theory of regular Lagrangian flows is used. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4233949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms 分布斯托克韦尔变换与小波变换的渐近关系
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010033
J. V. Buralieva
{"title":"Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms","authors":"J. V. Buralieva","doi":"10.1134/S0016266323010033","DOIUrl":"10.1134/S0016266323010033","url":null,"abstract":"<p> Abelian- and Tauberian-type results characterizing the quasiasymptotic behavior of distributions in <span>(mathcal{S}_{0}'(mathbb{R}))</span> in terms of their Stockwell transforms are obtained. An Abelian-type result relating the quasiasymptotic boundedness of Lizorkin distributions to the asymptotic behavior of their Stockwell transforms is given. Several asymptotic results for the distributional wavelet transform are also presented. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4234005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Improved Inequalities for Numerical Radius via Cartesian Decomposition 利用笛卡尔分解改进的数值半径不等式
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010021
P. Bhunia, S. Jana, M. S. Moslehian, K. Paul
{"title":"Improved Inequalities for Numerical Radius via Cartesian Decomposition","authors":"P. Bhunia,&nbsp;S. Jana,&nbsp;M. S. Moslehian,&nbsp;K. Paul","doi":"10.1134/S0016266323010021","DOIUrl":"10.1134/S0016266323010021","url":null,"abstract":"<p> We derive various lower bounds for the numerical radius <span>(w(A))</span> of a bounded linear operator <span>(A)</span> defined on a complex Hilbert space, which improve the existing inequality <span>(w^2(A)geq frac{1}{4}|A^*A+AA^*|)</span>. In particular, for <span>(rgeq 1)</span>, we show that </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4235135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Remark on Davies’ Hardy Inequality 评戴维斯的哈代不等式
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010100
Y. C. Huang
{"title":"A Remark on Davies’ Hardy Inequality","authors":"Y. C. Huang","doi":"10.1134/S0016266323010100","DOIUrl":"10.1134/S0016266323010100","url":null,"abstract":"<p> We give an “integration by parts” approach to Davies’ Hardy inequality. An improvement with a strictly larger Hardy weight is thereby obtained. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4235133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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