Analysis Mathematica最新文献_第3页

Finely holomorphic functions in one and more complex variables-a survey 一个及多个复杂变量的精细全纯函数——综述

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-27 DOI: 10.1007/s10476-025-00135-z

M. El Kadiri

引用次数: 0

Normal operators in real and quaternionic Hilbert spaces 实数和四元Hilbert空间中的正规算子

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-24 DOI: 10.1007/s10476-025-00132-2

F.-H. Vasilescu

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Selected gems from the mathematics of Bent Fuglede - a centenary tribute 从Bent Fuglede的数学中精选的宝石-百年致敬

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-24 DOI: 10.1007/s10476-025-00124-2

C. Berg, K. Böröczky, M. El Kadiri, M. Kolountzakis, N. Zorii, L. Zsidó

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The multivariate Herglotz-Nevanlinna class: superresolution 多变量Herglotz-Nevanlinna类：超分辨率

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-24 DOI: 10.1007/s10476-025-00130-4

M. Bhowmik, M. Putinar

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Plurifinely continuous functions are quasi-continuous 多元连续函数是准连续的

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-24 DOI: 10.1007/s10476-025-00131-3

M. El Kadiri

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Weighted minimum (alpha)-Green energy problems 加权最小值(alpha) -绿色能源问题

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-24 DOI: 10.1007/s10476-025-00133-1

N. Zorii

{"title":"Weighted minimum (alpha)-Green energy problems","authors":"N. Zorii","doi":"10.1007/s10476-025-00133-1","DOIUrl":"10.1007/s10476-025-00133-1","url":null,"abstract":"<div>For the (alpha)-Green kernel (g^alpha_D) on a domain (Dsubsetmathbb R^n), (n geq 2), associated with the (alpha)-Riesz kernel (|x-y|^{alpha-n}), where (alphain(0,n)) and (alpha leq 2), and a relatively closed set (Fsubset D), we investigate the problem on minimizing the Gauss functional\u0000<div><div>$$\u0000int g^alpha_D(x,y),d(muotimesmu)(x,y)-2int g^alpha_D(x,y),d(varthetaotimesmu)(x,y),\u0000$$</div></div>(vartheta) being a given positive (Radon) measure concentrated on (Dsetminus F), and (mu) ranging over all probability measures of finite energy, supported in (D) by (F). For suitable (vartheta), we find necessary and/or sufficient conditions for the existence of the solution to the problem, give a description of its support, provide various alternative characterizations, and prove convergence theorems when (F) is approximated by partially ordered families of sets. The analysis performed is substantially based on the perfectness of the (alpha)-Green kernel, discovered by Fuglede and Zorii (Ann. Acad. Sci. Fenn. Math., 2018).</div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 4","pages":"1505 - 1534"},"PeriodicalIF":0.5,"publicationDate":"2025-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145766277","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}

引用次数: 0

The C(^*)-algebra of a composition reflection 一个复合反射的C (^*) -代数

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-24 DOI: 10.1007/s10476-025-00129-x

E. Andruchow

引用次数: 0

Geometric implications of weak tiling 弱瓷砖的几何含义

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-12 DOI: 10.1007/s10476-025-00121-5

M. N. Kolountzakis, N. Lev, M. Matolcsi

引用次数: 0

Quadratic spectral concentration of characteristic functions 特征函数的二次谱集中

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-12 DOI: 10.1007/s10476-025-00128-y

K. Oganesyan

{"title":"Quadratic spectral concentration of characteristic functions","authors":"K. Oganesyan","doi":"10.1007/s10476-025-00128-y","DOIUrl":"10.1007/s10476-025-00128-y","url":null,"abstract":"<div>It is known that the inequality \u0000<div><div>$$\u0000int_{-W/2}^{W/2} big|widehat{f}(xi) big|^2 , dxi leq int_{-W/2}^{W/2} big|widehat{|f|^*}(xi) big|^2 , dxi \u0000$$</div></div>\u0000between the quadratic spectral concentration of a function and that of its decreasing rearrangement holds for any function (fin L^2 )\u0000, ( lvert {textrm{supp}} f|=T ), if and only if the product (WT) does not exceed the critical value (approx 0.81). We show that by restricting ourselves to characteristic functions we can enlarge this range up to (WTleq 4/3). Besides, we establish various properties of minimizers of the difference (int_{-W/2}^{W/2} |widehat{{mathbb{1}}_A^*}(xi) | ^2 , dxi -int_{-W/2}^{W/2} |widehat{{mathbb{1}}_A}(xi) | ^2 , dxi ) over sets (A) of finite measure and prove that this difference is non-negative for all (W,T>0) if (A) is the union of two intervals. As a corollary, we obtain a sharp (up to a constant) estimate for the (L^2 )-norms of non-harmonic trigonometric polynomials with alternating coefficients (pm 1).\u0000</div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 4","pages":"1429 - 1454"},"PeriodicalIF":0.5,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145766246","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}

引用次数: 0

Transitive subspaces of (3times 3) complex matrices (3times 3)复矩阵的传递子空间

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2025-11-12 DOI: 10.1007/s10476-025-00126-0

L. Kérchy

{"title":"Transitive subspaces of (3times 3) complex matrices","authors":"L. Kérchy","doi":"10.1007/s10476-025-00126-0","DOIUrl":"10.1007/s10476-025-00126-0","url":null,"abstract":"<div>It was a remarkable result of the last decades that every Banach space operator has an almost invariant half-space; see \u0000[1] \u0000and \u0000[17].\u0000Refining the technique used in \u0000[1], \u0000it has been shown quite recently that every operator (T)\u0000 on a complex Hilbert space (mathcal{H}) has a diagonal operator inside itself; see \u0000[9].\u0000Applying this result to a block-triangular operator (Tinmathcal{L}(mathcal{H}_1 oplus mathcal{H}_2)),\u0000it can be proved that a translate of (T)\u0000is similar to an operator (widehat{T}inmathcal{L}(mathcal{H}^{(4)})) \u0000with two diagonal entries (D),\u0000(D_{*} ) and two entries \u0000(F), \u0000(F _{*} ) of rank \u0000(1).\u0000Given any operator (Q= [Q_{i,j}]_4)\u0000in the commutant ({widehat{T}}') of \u0000(widehat{T}), the operator entry \u0000(Q_{4,1}) intertwines \u0000(D) and \u0000(D _{*} ) up to a transformation of rank at most (2).\u0000The linear manifold of the operators (Q_{4,1}) is denoted by (mathcal{L}_{4,1}).\u0000The compressions of the transformations in \u0000(mathcal{L}_{4,1}) to a\u0000(3)-dimensional subspace form a subspace \u0000 (mathcal{L} _{*} ) of the matrix algebra \u0000 (M_3[mathbb{C}]).\u0000Transitivity properties of ({ T}') yield the transitivity of (mathcal{L} _{*} ).\u0000Our aim is to characterize all transitive subspaces (mathcal{L}) of (M_3[mathbb{C}]) obeying the transformation law derived from the intertwining condition on \u0000(mathcal{L}_{4,1}).\u0000In that way we obtain sufficient conditions for the existence of proper hyperinvariant subspaces of \u0000(T).</div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 4","pages":"1345 - 1374"},"PeriodicalIF":0.5,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-025-00126-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145766285","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}

引用次数: 0