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Annali dell''Universita di Ferrara最新文献

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Plancherel and inversion formulas for the Dunkl-type Segal-Bargmann transform 邓克尔型西格尔-巴格曼变换的普朗切尔公式和反演公式
Annali dell''Universita di Ferrara Pub Date : 2024-11-14 DOI: 10.1007/s11565-024-00563-z
Fethi Soltani, Meriem Nenni
{"title":"Plancherel and inversion formulas for the Dunkl-type Segal-Bargmann transform","authors":"Fethi Soltani,&nbsp;Meriem Nenni","doi":"10.1007/s11565-024-00563-z","DOIUrl":"10.1007/s11565-024-00563-z","url":null,"abstract":"<div><p>In 1961, Bargmann introduced the classical Segal-Bargmann transform and in 1984, Cholewinsky introduced the generalized Segal-Bargmann transform. These two transforms are the aim of many works, and have many applications in mathematics. In this paper we introduce the Dunkl-type Segal-Bargmann transform <span>(mathscr {B}_{alpha })</span> associated with the Coxeter group <span>(mathbb {Z}^d_2)</span>. Next, we investigate for this transform the main theorems of harmonic analysis (Plancherel and inversion formulas). Finally, we study some local uncertainty principles associated with the transform <span>(mathscr {B}_{alpha })</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636667","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
Stabilization of the Coleman-Gurtin thermal coupling with swelling porous system: general decay rate 科尔曼-古尔廷热耦合与膨胀多孔系统的稳定：一般衰减率
Annali dell''Universita di Ferrara Pub Date : 2024-11-14 DOI: 10.1007/s11565-024-00560-2
Adel M. Al-Mahdi, Tijani A. Apalara, Mohammad Al-Gharabli, Salim Messaoudi
{"title":"Stabilization of the Coleman-Gurtin thermal coupling with swelling porous system: general decay rate","authors":"Adel M. Al-Mahdi,&nbsp;Tijani A. Apalara,&nbsp;Mohammad Al-Gharabli,&nbsp;Salim Messaoudi","doi":"10.1007/s11565-024-00560-2","DOIUrl":"10.1007/s11565-024-00560-2","url":null,"abstract":"<div><p>This paper is concerned with a thermoelastic swelling system with Coleman-Gurtin’s law, when the heat flux <i>q</i> is given by </p><div><div><span>$$begin{aligned} tau q(t)+(1-alpha )theta _{x}+alpha int _{0}^{infty } Psi (s)theta _{x}(x, t-s)ds=0,qquad alpha in (0, 1), end{aligned}$$</span></div></div><p>where <span>(theta )</span> is the temperature supposed to be known for negative times. <span>(Psi )</span> is the convolution thermal kernel, a nonnegative bounded convex function on <span>([0, + infty ))</span> belongs to a broad class of relaxation functions satisfying the unitary total mass, and some additional properties that will be specified later. By using the Dafermos history framework and constructing a suitable Lyapunov functional, we established a general decay result, from which the exponential and polynomial decay rates are only special cases. The stability result in this manuscript is obtained without imposing any stability number, and extends and improves many earlier results in the literature.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636666","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
Analogue of Ramanujan’s function (k(tau )) for the continued fraction (X(tau )) of order six 六阶续分 (X(tau))的 Ramanujan 函数 (k(tau))的类似物
Annali dell''Universita di Ferrara Pub Date : 2024-11-11 DOI: 10.1007/s11565-024-00544-2
Russelle Guadalupe, Victor Manuel Aricheta
{"title":"Analogue of Ramanujan’s function (k(tau )) for the continued fraction (X(tau )) of order six","authors":"Russelle Guadalupe,&nbsp;Victor Manuel Aricheta","doi":"10.1007/s11565-024-00544-2","DOIUrl":"10.1007/s11565-024-00544-2","url":null,"abstract":"<div><p>Motivated by the recent work of Park on the analogue of the Ramanujan’s function <span>(k(tau )=r(tau )r^2(2tau ))</span> for the Ramanujan’s cubic continued fraction, where <span>(r(tau ))</span> is the Rogers–Ramanujan continued fraction, we use the methods of Lee and Park to study the modularity and arithmetic of the function <span>(w(tau ) = X(tau )X(3tau ))</span>, which may be considered as an analogue of <span>(k(tau ))</span> for the continued fraction <span>(X(tau ))</span> of order six introduced by Vasuki, Bhaskar and Sharath. In particular, we show that <span>(w(tau ))</span> can be written in terms of the normalized generator <span>(u(tau ))</span> of the field of all modular functions on <span>(Gamma _0(18))</span>, and derive modular equations for <span>(u(tau ))</span> of smaller prime levels. We also express <span>(j(dtau ))</span> for <span>(din {1,2,3,6,9,18})</span> in terms of <span>(u(tau ))</span>, where <i>j</i> is the modular <i>j</i>-invariant.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142598957","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
On warped product pointwise quasi bi-slant submanifolds of Kenmotsu manifolds 论剑母流形的翘积点式准双斜子流形
Annali dell''Universita di Ferrara Pub Date : 2024-11-09 DOI: 10.1007/s11565-024-00565-x
Prince Majeed, Mehraj Ahmad Lone
{"title":"On warped product pointwise quasi bi-slant submanifolds of Kenmotsu manifolds","authors":"Prince Majeed,&nbsp;Mehraj Ahmad Lone","doi":"10.1007/s11565-024-00565-x","DOIUrl":"10.1007/s11565-024-00565-x","url":null,"abstract":"<div><p>In this paper, we have examined the idea of pointwise quasi bi-slant submanifolds of Kenmotsu manifolds and studied warped product pointwise quasi bi-slant submanifolds of Kenmotsu manifolds. We obtain several results on pointwise quasi bi-slant submanifolds of Kenmotsu manifolds and proved the characterization theorem for warped product pointwise quasi bi-slant submanifolds. Also, we provide a non-trivial example of such warped product submanifold. \u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142598912","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
Some estimates for octonion transform 八离子变换的一些估计值
Annali dell''Universita di Ferrara Pub Date : 2024-11-09 DOI: 10.1007/s11565-024-00566-w
A. Serhir, N. Safouane, A. Achak, A. El Hyat
{"title":"Some estimates for octonion transform","authors":"A. Serhir,&nbsp;N. Safouane,&nbsp;A. Achak,&nbsp;A. El Hyat","doi":"10.1007/s11565-024-00566-w","DOIUrl":"10.1007/s11565-024-00566-w","url":null,"abstract":"<div><p>This paper extends classical approximation theory by establishing Bernstein’s inequality and Jackson’s direct and inverse theorems for the Octonion transform, focusing on functions with a bounded spectrum. Jackson’s inequality bounds the best polynomial approximation of a function based on its smoothness, while Bernstein’s inequality relates the maximum modulus of a polynomial and its derivative on the unit disk. The paper adapts these concepts to the context of octonions.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142596072","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
Existence of solutions for fractional functional integral equations of Hadamard type via measure of noncompactness 通过非紧密性度量哈达玛德型分数函数积分方程解的存在性
Annali dell''Universita di Ferrara Pub Date : 2024-11-08 DOI: 10.1007/s11565-024-00569-7
Rakesh Kumar, Satish Kumar, Bhupander Singh, Hamid Reza Sahebi
{"title":"Existence of solutions for fractional functional integral equations of Hadamard type via measure of noncompactness","authors":"Rakesh Kumar,&nbsp;Satish Kumar,&nbsp;Bhupander Singh,&nbsp;Hamid Reza Sahebi","doi":"10.1007/s11565-024-00569-7","DOIUrl":"10.1007/s11565-024-00569-7","url":null,"abstract":"<div><p>In this paper, we study the solvability for fractional functional integral equations of Hadamard-type within the Banach algebra <span>(C([1, c]), c &gt; 0)</span>. We utilize the Darbo’s fixed point theorem combined with the measure of non-compactness as the main tool. Notably, our existence results encompass and generalize various findings documented in previous literature. To demonstrate the applicability of our approach, we present a detailed example highlighting its effectiveness.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142595589","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
Annihilators of power values of generalized skew derivations on Lie ideals in prime rings 素环中列理想上广义偏斜导数幂值的湮没器
Annali dell''Universita di Ferrara Pub Date : 2024-11-07 DOI: 10.1007/s11565-024-00542-4
C. Garg, B. Dhara
{"title":"Annihilators of power values of generalized skew derivations on Lie ideals in prime rings","authors":"C. Garg,&nbsp;B. Dhara","doi":"10.1007/s11565-024-00542-4","DOIUrl":"10.1007/s11565-024-00542-4","url":null,"abstract":"<div><p>Let <i>R</i> be a prime ring of characteristic different from 2, <span>(nge 1)</span> a fixed integer, <i>C</i> the extended centroid of <i>R</i>, <i>F</i> a generalized skew derivation of <i>R</i> and <i>L</i> a Lie ideal of <i>R</i>. If there exists <span>(0 ne a in R)</span> such that <span>(a(F(xy)-yx)^{n}=0)</span> for all <span>(x,yin L)</span>, then <i>L</i> is central, unless <i>R</i> satisfies the standard polynomial identity <span>(s_4(x_1, ldots , x_4))</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142595564","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
Time-frequency analysis for the multidimensional Gabor Transform 多维 Gabor 变换的时频分析
Annali dell''Universita di Ferrara Pub Date : 2024-11-05 DOI: 10.1007/s11565-024-00558-w
Ahmed Chana, Abdellatif Akhlidj
{"title":"Time-frequency analysis for the multidimensional Gabor Transform","authors":"Ahmed Chana,&nbsp;Abdellatif Akhlidj","doi":"10.1007/s11565-024-00558-w","DOIUrl":"10.1007/s11565-024-00558-w","url":null,"abstract":"<div><p>The main crux of this paper is to introduce a new integral transform called the multidimensional Hankel–Gabor transform and to give some new results related to this transform as Plancherel’s, Parseval’s, inversion and Calderón’s reproducing formulas. Next, we analyse the concentration of this transform on sets of finite measure and we give uncertainty principle for orthonormal sequences and Donoho–Stark’s type uncertainty principle. Last, we introduce a new class of pseudo-differential operator <span>({mathscr {L}}_{u,v}(sigma ))</span> called localization operator which depend on a symbol <span>(sigma )</span> and two functions <i>u</i> and <i>v</i>, we give a criteria in terms of the symbol <span>(sigma )</span> for its boundedness and compactness, we also show that this operator belongs to the Schatten-Von Neumann classes <span>(S^p)</span> for all <span>(p in [1; +infty ])</span> and we give a trace formula.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579493","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
Boolean operators and neural networks 布尔运算符和神经网络
Annali dell''Universita di Ferrara Pub Date : 2024-08-22 DOI: 10.1007/s11565-024-00541-5
Sara Marziali
{"title":"Boolean operators and neural networks","authors":"Sara Marziali","doi":"10.1007/s11565-024-00541-5","DOIUrl":"10.1007/s11565-024-00541-5","url":null,"abstract":"<div><p>We compute the homogeneous ideals of varieties, in a projective space of tensors, associated to different choices of the Boolean operators that describe the decision process in small neural networks. We prove that, starting with networks with three nodes, the varieties associated to different Boolean operators are all distinct.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1767 - 1783"},"PeriodicalIF":0.0,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00541-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability problems with generalized Navier–Stokes–Voigt theories 广义纳维-斯托克斯-沃伊特理论的稳定性问题
Annali dell''Universita di Ferrara Pub Date : 2024-07-30 DOI: 10.1007/s11565-024-00540-6
Brian Straughan
{"title":"Stability problems with generalized Navier–Stokes–Voigt theories","authors":"Brian Straughan","doi":"10.1007/s11565-024-00540-6","DOIUrl":"10.1007/s11565-024-00540-6","url":null,"abstract":"<div><p>We investigate some hydrodynamic stability problems in the context of the Navier–Stokes–Voigt equations. It is pointed out that one should regard the usual set of equations known as the Navier–Stokes–Voigt equations as being the Navier–Stokes equations to which a regularizing term has been added. We investigate other models which have features very similar to the Navier–Stokes–Voigt equations, but which arise from proper continuum thermodynamic approaches, including employing an objective time derivative rather than simply the Laplacian of the partial time derivative of the velocity field. It is shown that in some cases, particularly those connected to straightforward thermal convection studies, the linear theory of the more physically based models reduces to that of the classical Navier–Stokes–Voigt theory. However, these are special problems and we also display other problems where the generalized theories based on continuum mechanics principles lead to very different results from what one finds with traditional Navier–Stokes–Voigt theory. Finally, two further models pertaining to Navier–Stokes–Voigt theory which were introduced by Oskolkov are investigated.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1747 - 1766"},"PeriodicalIF":0.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142415156","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
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