Mathematische Nachrichten最新文献

{"title":"On the similarity of boundary triples for dual pairs","authors":"Rytis Juršėnas","doi":"10.1002/mana.70118","DOIUrl":"10.1002/mana.70118","url":null,"abstract":"<p>The Weyl family of a dual pair <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>A</mi>\u0000 <mo>⊂</mo>\u0000 <msup>\u0000 <mi>B</mi>\u0000 <mi>c</mi>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$Asubset B^c$</annotation>\u0000 </semantics></math> of operators in a Krein space determines a minimal boundary triple uniquely up to similarity; if <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>A</mi>\u0000 <mo>=</mo>\u0000 <mi>B</mi>\u0000 </mrow>\u0000 <annotation>$A=B$</annotation>\u0000 </semantics></math>, a necessary and sufficient condition in order that the similarity should be unitary is given.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 4","pages":"919-931"},"PeriodicalIF":0.8,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Weighted function spaces: Convolutors, multipliers, and mollifiers","authors":"Lenny Neyt,&nbsp;Yoshihiro Sawano","doi":"10.1002/mana.70110","DOIUrl":"10.1002/mana.70110","url":null,"abstract":"<p>We study smooth function spaces of Gelfand–Shilov type, with global behavior governed through a translation-invariant Banach function space (TIBF) and localized via a weight function system. We clarify the roles of the TIBF, convolution, and pointwise multiplication in connection with the weight function system. Our primary goal is to characterize these function spaces—as well as the corresponding convolutor and multiplier spaces—through mollification. For this purpose, we introduce the moment-wise decomposition factorization property for pairs of compactly supported smooth functions, and establish complete characterizations in terms of mollifications with these windows.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 4","pages":"828-862"},"PeriodicalIF":0.8,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Approximation of Dirac operators with δ-shell potentials in the norm resolvent sense, II: Quantitative results","authors":"Jussi Behrndt,&nbsp;Markus Holzmann,&nbsp;Christian Stelzer-Landauer","doi":"10.1002/mana.70085","DOIUrl":"10.1002/mana.70085","url":null,"abstract":"<p>This paper is devoted to the approximation of two- and three-dimensional Dirac operators <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>H</mi>\u0000 <mrow>\u0000 <mover>\u0000 <mi>V</mi>\u0000 <mo>∼</mo>\u0000 </mover>\u0000 <msub>\u0000 <mi>δ</mi>\u0000 <mi>Σ</mi>\u0000 </msub>\u0000 </mrow>\u0000 </msub>\u0000 <annotation>$H_{widetilde{V} delta _Sigma }$</annotation>\u0000 </semantics></math> with combinations of electrostatic and Lorentz scalar <span></span><math>\u0000 <semantics>\u0000 <mi>δ</mi>\u0000 <annotation>$delta$</annotation>\u0000 </semantics></math>-shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer-Landauer [Math. Nachr. <b>298</b> (2025), 2499–2546], an explicit smallness condition on the coupling parameters is derived so that <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>H</mi>\u0000 <mrow>\u0000 <mover>\u0000 <mi>V</mi>\u0000 <mo>∼</mo>\u0000 </mover>\u0000 <msub>\u0000 <mi>δ</mi>\u0000 <mi>Σ</mi>\u0000 </msub>\u0000 </mrow>\u0000 </msub>\u0000 <annotation>$H_{widetilde{V} delta _Sigma }$</annotation>\u0000 </semantics></math> is the limit of Dirac operators with scaled electrostatic and Lorentz scalar potentials. Via counterexamples it is shown that this condition is sharp. The approximation of <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>H</mi>\u0000 <mrow>\u0000 <mover>\u0000 <mi>V</mi>\u0000 <mo>∼</mo>\u0000 </mover>\u0000 <msub>\u0000 <mi>δ</mi>\u0000 <mi>Σ</mi>\u0000 </msub>\u0000 </mrow>\u0000 </msub>\u0000 <annotation>$H_{widetilde{V} delta _Sigma }$</annotation>\u0000 </semantics></math> for larger coupling constants is achieved by adding an additional scaled magnetic term.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 4","pages":"704-763"},"PeriodicalIF":0.8,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.70085","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Projective and affine structures in positive characteristic I: Chern class formulas and characterizations of projective spaces","authors":"Yasuhiro Wakabayashi","doi":"10.1002/mana.70117","DOIUrl":"10.1002/mana.70117","url":null,"abstract":"<p>This paper aims to develop a theory of projective and affine structures on higher dimensional varieties in positive characteristic. This theory deals with Frobenius-projective and Frobenius-affine structures, which have been previously investigated in the case where the underlying space is a curve. We first provide a description of such structures in terms of Berthelot's higher level differential operators. That description leads us to obtain a positive characteristic version of Gunning's formulas, which give necessary conditions on Chern classes for the existence of Frobenius-projective and Frobenius-affine structures, respectively. Finally, we establish some characterizations of projective spaces using Frobenius-projective structures.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 4","pages":"881-918"},"PeriodicalIF":0.8,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Weak centrality for certain tensor products of C*-algebras","authors":"Anmol Paliwal,&nbsp;Ranjana Jain","doi":"10.1002/mana.70119","DOIUrl":"10.1002/mana.70119","url":null,"abstract":"<p>In this article, we discuss the weak centrality of the tensor product <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>A</mi>\u0000 <msub>\u0000 <mo>⊗</mo>\u0000 <mi>α</mi>\u0000 </msub>\u0000 <mi>B</mi>\u0000 </mrow>\u0000 <annotation>$Aotimes _alpha B$</annotation>\u0000 </semantics></math> of <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>C</mi>\u0000 <mo>*</mo>\u0000 </msup>\u0000 <annotation>$C^ast$</annotation>\u0000 </semantics></math>-algebras <span></span><math>\u0000 <semantics>\u0000 <mi>A</mi>\u0000 <annotation>$A$</annotation>\u0000 </semantics></math> and <span></span><math>\u0000 <semantics>\u0000 <mi>B</mi>\u0000 <annotation>$B$</annotation>\u0000 </semantics></math> in terms of the weak centrality of <span></span><math>\u0000 <semantics>\u0000 <mi>A</mi>\u0000 <annotation>$A$</annotation>\u0000 </semantics></math> and <span></span><math>\u0000 <semantics>\u0000 <mi>B</mi>\u0000 <annotation>$B$</annotation>\u0000 </semantics></math>, where <span></span><math>\u0000 <semantics>\u0000 <mi>α</mi>\u0000 <annotation>$alpha$</annotation>\u0000 </semantics></math> is either the Haagerup or the Banach space projective tensor product. In the due course, we also identify the largest weakly central ideal of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>A</mi>\u0000 <msub>\u0000 <mo>⊗</mo>\u0000 <mi>α</mi>\u0000 </msub>\u0000 <mi>B</mi>\u0000 </mrow>\u0000 <annotation>$Aotimes _alpha B$</annotation>\u0000 </semantics></math> in certain cases. Centralilty and quasi-centrality of these tensor products are also discussed.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 4","pages":"932-947"},"PeriodicalIF":0.8,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Singular Trudinger–Moser Inequality Involving Lp Norm in Bounded Domain","authors":"Kaiwen Guo,&nbsp;Yanjun Liu","doi":"10.1002/mana.70124","DOIUrl":"10.1002/mana.70124","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;In this paper, we use the methods of blow-up analysis and capacity estimate to derive singular Trudinger–Moser inequality involving &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;N&lt;/mi&gt;\u0000 &lt;annotation&gt;$N$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-Finsler–Laplacian and &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;msup&gt;\u0000 &lt;mi&gt;L&lt;/mi&gt;\u0000 &lt;mi&gt;p&lt;/mi&gt;\u0000 &lt;/msup&gt;\u0000 &lt;annotation&gt;$L^{p}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; norm in the bounded domain, precisely, for any &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;p&lt;/mi&gt;\u0000 &lt;mo&gt;&gt;&lt;/mo&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$p&gt;1$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;mo&gt;≤&lt;/mo&gt;\u0000 &lt;mi&gt;γ&lt;/mi&gt;\u0000 &lt;mo&gt;&lt;&lt;/mo&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;γ&lt;/mi&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;:&lt;/mo&gt;\u0000 &lt;mo&gt;=&lt;/mo&gt;\u0000 &lt;munder&gt;\u0000 &lt;mo&gt;inf&lt;/mo&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;u&lt;/mi&gt;\u0000 &lt;mo&gt;∈&lt;/mo&gt;\u0000 &lt;msubsup&gt;\u0000 &lt;mi&gt;W&lt;/mi&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;N&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msubsup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;Ω&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mo&gt;∖&lt;/mo&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;{&lt;/mo&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;mo&gt;}&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/munder&gt;\u0000 &lt;mfrac&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mo&gt;∫&lt;/mo&gt;\u0000 &lt;mi&gt;Ω&lt;/mi&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mi&gt;F&lt;/mi&gt;\u0000 &lt;msup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mo&gt;∇&lt;/mo&gt;\u0000 &lt;mi&gt;u&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mi&gt;N&lt;/mi&gt;\u0000 &lt;/msup&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;mi&gt;d&lt;/mi&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;msubsup&gt;\u0000 ","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 4","pages":"948-976"},"PeriodicalIF":0.8,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the decay rate of a Timoshenko system with dual-phase-lag thermoelasticity in unbounded domains","authors":"Hizia Bounadja,&nbsp;Salim Messaoudi,&nbsp;Maisa Khader","doi":"10.1002/mana.70112","DOIUrl":"10.1002/mana.70112","url":null,"abstract":"<p>In this paper, we investigate the Cauchy problem for a dual-phase-lag (DPL) thermoelastic Timoshenko system with a DPL heat conduction. This DPL model, which includes two thermal relaxation times, <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>τ</mi>\u0000 <mi>q</mi>\u0000 </msub>\u0000 <annotation>$tau _{q}$</annotation>\u0000 </semantics></math> and <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>τ</mi>\u0000 <mi>θ</mi>\u0000 </msub>\u0000 <annotation>$tau _{theta }$</annotation>\u0000 </semantics></math>, describes non-instantaneous heat propagation. We first study the decay properties of the system using the energy method in Fourier space, by constructing an appropriate Lyapunov functional. Then, we prove that the <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>L</mi>\u0000 <mn>2</mn>\u0000 </msup>\u0000 <annotation>$L^{2}$</annotation>\u0000 </semantics></math>-norm of the solution decays with the rate <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mn>1</mn>\u0000 <mo>+</mo>\u0000 <mi>t</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 <mn>1</mn>\u0000 <mo>/</mo>\u0000 <mn>8</mn>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>$(1+t)^{-1/8}$</annotation>\u0000 </semantics></math>, with some regularity loss and under the assumption <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 <msub>\u0000 <mi>τ</mi>\u0000 <mi>θ</mi>\u0000 </msub>\u0000 <mo>&gt;</mo>\u0000 <msub>\u0000 <mi>τ</mi>\u0000 <mi>q</mi>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$2tau _{theta }&gt;tau _{q}$</annotation>\u0000 </semantics></math>.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 4","pages":"863-880"},"PeriodicalIF":0.8,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Restricting Green potentials on metric measure spaces","authors":"Liguang Liu,&nbsp;Yuying Zhang","doi":"10.1002/mana.70088","DOIUrl":"10.1002/mana.70088","url":null,"abstract":"&lt;p&gt;Let &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;M&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ν&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$(M, rho, nu)$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; be a locally compact separable metric measure space satisfying the doubling and reverse doubling conditions. Assume that on &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;M&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ν&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$(M, rho, nu)$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; the Green function exists and satisfies a two-sided estimate. Given a nonnegative Radon measure &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;μ&lt;/mi&gt;\u0000 &lt;annotation&gt;$mu$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; on &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;M&lt;/mi&gt;\u0000 &lt;annotation&gt;$M$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, the authors investigate restricting principles for Green–Morrey potentials on &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;μ&lt;/mi&gt;\u0000 &lt;annotation&gt;$mu$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-weak-Morrey and &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;μ&lt;/mi&gt;\u0000 &lt;annotation&gt;$mu$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-Morrey spaces. With an additional assumption of the Hölder estimate of the Green function, the authors study not only restricting properties for Green–Morrey potentials on &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;μ&lt;/mi&gt;\u0000 &lt;annotation&gt;$mu$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-Campanato spaces, but also restricting properties for Green–Hardy potentials on &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;μ&lt;/mi&gt;\u0000 &lt;annotation&gt;$mu$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-Lebesgue spaces. As applications, if there is a regular Dirichlet form on &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;M&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ν&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$(M, rho, nu)$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; which corresponds to a positive definite self-adjoint operator &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;L&lt;/mi&gt;\u0000 &lt;annotation&gt;$mathcal {L}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; in &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msup&gt;\u0000 ","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 4","pages":"764-827"},"PeriodicalIF":0.8,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147686134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Correction to “A Nonautonomous 𝑪𝒓-Topological Equivalence Involving Contractions and Unbounded Nonlinearities”","authors":"","doi":"10.1002/mana.70120","DOIUrl":"10.1002/mana.70120","url":null,"abstract":"<p>Mathematische Nachrichten vol. 298, pp. 3893-3907, 2025. DOI: 10.1002/mana.70072.</p><p>Article considered as Review Article rather than Original Article.</p><p>We apologize for this error.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.70120","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147687019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Joint distribution of Hecke eigenforms on \u0000 \u0000 \u0000 H\u0000 3\u0000 \u0000 $ mathbb {H}^3$","authors":"Didier Lesesvre,&nbsp;Luca Marchesini,&nbsp;Nicole Raulf","doi":"10.1002/mana.70113","DOIUrl":"https://doi.org/10.1002/mana.70113","url":null,"abstract":"<p>We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three-space <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>H</mi>\u0000 <mn>3</mn>\u0000 </msup>\u0000 <annotation>$mathbb {H}^3$</annotation>\u0000 </semantics></math>. This supports the conjectural statistical independence of orthogonal cusp forms.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"299 3","pages":"661-674"},"PeriodicalIF":0.8,"publicationDate":"2026-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.70113","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147566135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}