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Functional Analysis and Its Applications最新文献

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The Largest Automorphism Group of a Del Pezzo Surface of Degree (2) without Points 阶为(2)无点的Del Pezzo曲面的最大自同构群
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-01-15 DOI: 10.1134/S1234567825040019
Anastasia Vikulova
{"title":"The Largest Automorphism Group of a Del Pezzo Surface of Degree (2) without Points","authors":"Anastasia Vikulova","doi":"10.1134/S1234567825040019","DOIUrl":"10.1134/S1234567825040019","url":null,"abstract":"<p> We construct an example of a field and a smooth del Pezzo surface of degree <span>(2)</span> over this field without points such that its automorphism group is isomorphic to <span>(mathrm{PSL}_2(mathbb{F}_7) times mathbb{Z}/2mathbb{Z})</span>, which is the largest possible automorphism group for del Pezzo surfaces of degree <span>(2)</span> over an algebraically closed field of characteristic zero. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 4","pages":"391 - 397"},"PeriodicalIF":0.7,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145963737","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 Birational Geometry of Sextic Threefold Hypersurfaces in (mathbb{P}(1,1,2,2,3)) 论六次三重超曲面的双几何 (mathbb{P}(1,1,2,2,3))
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-01-15 DOI: 10.1134/S1234567825040068
Yuri Prokhorov
{"title":"On the Birational Geometry of Sextic Threefold Hypersurfaces in (mathbb{P}(1,1,2,2,3))","authors":"Yuri Prokhorov","doi":"10.1134/S1234567825040068","DOIUrl":"10.1134/S1234567825040068","url":null,"abstract":"<p> We investigate birational properties of hypersurfaces of degree <span>(6)</span> in the weighted projective space <span>(mathbb{P}(1,1,2,2,3))</span>. In particular, we prove that any such quasi-smooth hypersurface is not rational. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 4","pages":"440 - 456"},"PeriodicalIF":0.7,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S1234567825040068.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145963683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Triangulations with Fixed Areas 关于固定区域的三角剖分
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-01-15 DOI: 10.1134/S1234567825040093
Ivan Frolov
{"title":"On Triangulations with Fixed Areas","authors":"Ivan Frolov","doi":"10.1134/S1234567825040093","DOIUrl":"10.1134/S1234567825040093","url":null,"abstract":"<p> We prove that the number of triangulations of a given polygon into triangles with fixed areas of faces is finite, and that an equidissection is algebraic as long as the vertices of the original polygon have algebraic coordinates. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 4","pages":"468 - 471"},"PeriodicalIF":0.7,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145963682","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 a Theorem of Bohl Regarding Integrals of Quasi-Periodic Functions 关于拟周期函数积分的玻尔定理
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-01-15 DOI: 10.1134/S1234567825040020
Valery Kozlov
{"title":"On a Theorem of Bohl Regarding Integrals of Quasi-Periodic Functions","authors":"Valery Kozlov","doi":"10.1134/S1234567825040020","DOIUrl":"10.1134/S1234567825040020","url":null,"abstract":"<p> Bohl points of a conditionally periodic motion are defined as the phases such that the integral of a continuous function with zero mean value along the motion is always nonnegative (or nonpositive). Bohl points are known to always exist. This note is devoted to a generalization of this result to the case of uniquely ergodic dynamical systems as well as to almost periodic Bohr functions. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 4","pages":"398 - 404"},"PeriodicalIF":0.7,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145963592","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 Stability of Linear Elliptic Equations with (L^2)-Drifts of Negative Divergence and Singular Zero-Order Terms 具有(L^2) -负散度漂移和奇异零阶项的线性椭圆方程的稳定性
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-01-15 DOI: 10.1134/S1234567825040032
Haesung Lee
{"title":"On the Stability of Linear Elliptic Equations with (L^2)-Drifts of Negative Divergence and Singular Zero-Order Terms","authors":"Haesung Lee","doi":"10.1134/S1234567825040032","DOIUrl":"10.1134/S1234567825040032","url":null,"abstract":"<p> This paper first demonstrates the existence and uniqueness of solutions to homogeneous Dirichlet boundary value problems for second-order linear elliptic equations with <span>(L^2)</span>-drifts of negative divergence and positive <span>(L^1)</span>-zero-order terms, based on a functional analytic approach, including weak convergence methods and duality arguments. By improving the previous contraction properties, which may not be effective when the zero-order term is very small, this paper introduces a general <span>(L^2)</span>-“contraction” property for any positive zero-order term, leading to remarkable results regarding <span>(L^2)</span>-stability. These stability results are applicable to <span>(L^2)</span>-error analysis for physics-informed neural networks, and can also be applied to stationary Schrödinger operators with <span>(L^2)</span>-zero-order terms. We emphasize that all the constants arising in the estimates of this paper can be explicitly computed. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 4","pages":"405 - 420"},"PeriodicalIF":0.7,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145963681","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 Infinite Discrete Spectrum of Convolution Operators with Potentials 带势卷积算子的无限离散谱
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-01-15 DOI: 10.1134/S123456782504007X
Denis Borisov, Elena Zhizhina, Andrey Piatnitski
{"title":"On Infinite Discrete Spectrum of Convolution Operators with Potentials","authors":"Denis Borisov,&nbsp;Elena Zhizhina,&nbsp;Andrey Piatnitski","doi":"10.1134/S123456782504007X","DOIUrl":"10.1134/S123456782504007X","url":null,"abstract":"<p> In <span>(L_2(mathbb{R}^d))</span>, we consider a self-adjoint operator which is the sum of a convolution operator and a potential. With minimal assumptions on the convolution kernel and the potential, we describe the location of its essential spectrum and give sufficient conditions for the existence of infinite series of discrete eigenvalues accumulating at the edges of the essential spectrum. We also discuss the case where a non-empty discrete spectrum appears in gaps of the essential spectrum. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 4","pages":"457 - 461"},"PeriodicalIF":0.7,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145963684","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
Dirac Operators with Interactions on Periodic Graphs 周期图上具有相互作用的狄拉克算子
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-01-15 DOI: 10.1134/S1234567825040081
Vladimir Rabinovich
{"title":"Dirac Operators with Interactions on Periodic Graphs","authors":"Vladimir Rabinovich","doi":"10.1134/S1234567825040081","DOIUrl":"10.1134/S1234567825040081","url":null,"abstract":"<p> We study a two-dimensional massive Dirac operator with a singular potential supported on a periodic graph, and examine the self-adjointness and the Fredholmness of the associated unbounded operator. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 4","pages":"462 - 467"},"PeriodicalIF":0.7,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145963730","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
Universal Extension Operator 通用分机接线员
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2025-10-17 DOI: 10.1134/S123456782503005X
Lev Kapitanski
{"title":"Universal Extension Operator","authors":"Lev Kapitanski","doi":"10.1134/S123456782503005X","DOIUrl":"10.1134/S123456782503005X","url":null,"abstract":"<p> A new linear extension operator which extends (generalized) functions on a hyperplane in a Euclidean space to the whole space is introduced. It is shown that this operator is continuous as an operator between appropriate function spaces for a large class of Sobolev–Slobodetsky, Besov, and Triebel–Lizorkin spaces. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 3","pages":"271 - 276"},"PeriodicalIF":0.7,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316233","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 Completeness for Short-Range (N)-Body Systems Revisited 近程(N) -体系统的渐近完备性
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2025-10-17 DOI: 10.1134/S1234567825030097
Erik Skibsted
{"title":"Asymptotic Completeness for Short-Range (N)-Body Systems Revisited","authors":"Erik Skibsted","doi":"10.1134/S1234567825030097","DOIUrl":"10.1134/S1234567825030097","url":null,"abstract":"<p> We review Yafaev’s approach to asymptotic completeness for systems of particles mutually interacting with short-range potentials. The resulting theory is based on computation of commutators with time-independent (mostly bounded) observables yielding a sufficient supply of Kato smoothness bounds. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 3","pages":"330 - 346"},"PeriodicalIF":0.7,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145315638","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
Surface Waves on Infinite Boundaries 无限边界上的表面波
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2025-10-17 DOI: 10.1134/S1234567825030115
Dmitrii Yafaev
{"title":"Surface Waves on Infinite Boundaries","authors":"Dmitrii Yafaev","doi":"10.1134/S1234567825030115","DOIUrl":"10.1134/S1234567825030115","url":null,"abstract":"<p> We develop scattering theory for the Laplace operator in the half-space with Robin type boundary conditions on the boundary plane. In particular, we show that, in addition to usual space waves living in cones and described by standard wave operators, surface waves may arise in this problem. They are localized in parabolic neighbourhoods of the boundary. We find conditions on the boundary coefficient ensuring the existence of surface waves. Several open problems are formulated. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 3","pages":"366 - 389"},"PeriodicalIF":0.7,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S1234567825030115.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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