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Wigner-Ville distribution associated with the quaternion linear canonical transform and their generalized uncertainty principles 与四元数线性正则变换相关的Wigner-Ville分布及其广义测不准原理
Annali dell''Universita di Ferrara Pub Date : 2025-07-23 DOI: 10.1007/s11565-025-00604-1
M. Younus Bhat, Shahbaz Rafiq, Aamir H. Dar
{"title":"Wigner-Ville distribution associated with the quaternion linear canonical transform and their generalized uncertainty principles","authors":"M. Younus Bhat,&nbsp;Shahbaz Rafiq,&nbsp;Aamir H. Dar","doi":"10.1007/s11565-025-00604-1","DOIUrl":"10.1007/s11565-025-00604-1","url":null,"abstract":"<div><p>Wigner-Ville distribution (WVD) in the frame work of quaternion linear canonical transform (QLCT) (WVD-QLCT) is the generalized version of WVD in the quaternion algebra. Recently, some properties and applications in detection of linear frequency modulated (LFM) signals have been studied for the WVD-QLCT. In this paper, we first establish a relationship between WVD-QLCT and QFT and then we derive different uncertainty principles (UPs) which includes the Heisenberg’s UP, logarithmic UP, Hardy’s UP, Donoho Stark’s UP and Beurling’s UP associated with the WVD-QLCT.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169090","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 the solvability of Hadamard integro-differential equations via fixed point theorem 用不动点定理研究Hadamard积分微分方程的可解性
Annali dell''Universita di Ferrara Pub Date : 2025-07-19 DOI: 10.1007/s11565-025-00603-2
Hamid Reza Sahebi, Manochehr Kazemi
{"title":"On the solvability of Hadamard integro-differential equations via fixed point theorem","authors":"Hamid Reza Sahebi,&nbsp;Manochehr Kazemi","doi":"10.1007/s11565-025-00603-2","DOIUrl":"10.1007/s11565-025-00603-2","url":null,"abstract":"<div><p>This paper investigates the existence of solutions for nonlinear fractional Hadamard integro-differential equations with boundary conditions. The analysis is based on classical fixed-point theories, including Petryshyan’s and Banach’s fixed-point theorems. Some examples are provided to demonstrate the theoretical findings.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166605","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 some classes of pure subhypermodules and some classes of pure subacts over monoid 关于一类纯子超模和一类纯子模
Annali dell''Universita di Ferrara Pub Date : 2025-07-12 DOI: 10.1007/s11565-025-00602-3
Muna Jasim Mohammed Ali, Samira Naji Kadhim
{"title":"On some classes of pure subhypermodules and some classes of pure subacts over monoid","authors":"Muna Jasim Mohammed Ali,&nbsp;Samira Naji Kadhim","doi":"10.1007/s11565-025-00602-3","DOIUrl":"10.1007/s11565-025-00602-3","url":null,"abstract":"<div><p>The notion of a pure subhypermodule and so pure subhypermodule relative to subhypermodule are introducing. Some properties of these concepts have been studied. In this work the notion of a <span>(E_n)</span>-pure subact and so <span>(E_n)</span>-pure subact relative to subact have been introduced. Some properties of these concepts are studing. Prove that <i>X</i> is pure subhypermodule if and only if foreach finite sets <span>({mi} in M, {ni} in X)</span> with <span>({r_{ij}} in R)</span> and <span>(nj = sum _{i=1}^{k}{r_{ij}m_i}, j = 1, 2,ldots , l,)</span> there is a <span>({ x_i } in X)</span> which is finite set, when <span>(nj -sum _{i=1}^{k}{r_{ij}x_i} in X cap K)</span> for each subhypermodule <i>K</i>, and <i>A</i> hypermodule M owns the pure intersection property if and only if <span>(left( zN cap zKright) =zleft( Ncap K right) )</span> for each <span>(z in R)</span> and for all pure subhypermodules <i>N</i>, <i>K</i> in <i>M</i>. Also, prove that for act, If <i>M</i> owns the <span>(E_n)</span>-pure subact intersection property, then each <span>(E_n)</span>-pure subact in <i>M</i> has the <span>(E_n)</span>-pure subact intersection property, and Put <i>X</i> is <span>(E_n)</span>-pure subact in <i>M</i>. <i>M</i> has <span>(E_n)</span>-pure sub-act intersection property, if and only if, <span>(frac{M}{X})</span> has <span>(E_n)</span>-pure subact intersection property.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164935","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 existence results for a Kirchhoff-type equation involving fractional p-Laplacian with logarithmic nonlinearity 具有对数非线性的分数阶p- laplace型kirchhoff方程的存在性
Annali dell''Universita di Ferrara Pub Date : 2025-07-09 DOI: 10.1007/s11565-025-00599-9
Ihya Talibi, Farah Balaadich, Brahim El Boukari, Jalila El Ghordaf
{"title":"Some existence results for a Kirchhoff-type equation involving fractional p-Laplacian with logarithmic nonlinearity","authors":"Ihya Talibi,&nbsp;Farah Balaadich,&nbsp;Brahim El Boukari,&nbsp;Jalila El Ghordaf","doi":"10.1007/s11565-025-00599-9","DOIUrl":"10.1007/s11565-025-00599-9","url":null,"abstract":"<div><p>In this paper, we study the global existence of weak solutions for parabolic Kirchhoff-type problems of the following form: </p><div><div><span>$$begin{aligned} {left{ begin{array}{ll} u_t+ M(Vert uVert _{W_0}^p)(-Delta )_p^s u+pi _{ptheta }(u)=pi _{ptheta }(u)log (vert uvert ) &amp; text{ in } Omega , quad t&gt;0, u(x, 0)=u_0(x) &amp; text{ in } Omega u=0 &amp; text{ in } (mathbb {R}^n backslash Omega ),quad t&gt;0, end{array}right. } end{aligned}$$</span></div></div><p>where <span>(Omega subset mathbb {R}^n)</span>, <span>(pi _{ptheta }(x)=vert xvert ^{ptheta -2}x)</span>, <span>(1le theta &lt;frac{p_s^*}{p})</span>, <span>(2&lt; p&lt;frac{n}{s})</span>, <span>(0&lt;s&lt;1)</span>, <span>(M: mathbb {R}^+rightarrow mathbb {R}^+)</span> is a continuous function defined by <span>(M(r)=r^{theta -1})</span> and <span>((-Delta )_p^s)</span> is the fractional <i>p</i>-Laplacian operator. Based on the potential well method combined with the theory of Young measures and the Galerkin method, we obtain the existence of global solution.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163565","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
Summand intersection property on c-closed submodules c闭子模块上的求和交集属性
Annali dell''Universita di Ferrara Pub Date : 2025-06-30 DOI: 10.1007/s11565-025-00601-4
Enas Mustafa Kamil
{"title":"Summand intersection property on c-closed submodules","authors":"Enas Mustafa Kamil","doi":"10.1007/s11565-025-00601-4","DOIUrl":"10.1007/s11565-025-00601-4","url":null,"abstract":"<div><p>A module <i>C</i> is said to have the SIP when the intersection of any pair of direct summands of <i>C</i> is also a summand of <i>C</i>. In this manuscript, we define (strongly) summand intersection property on c-closed submodules, for short (<span>({SSIP}^{c})</span>) <span>({SIP}^{c})</span> if and only if the intersection of any pair of c-closed direct summands of <i>C</i> is (fully invariant) summand of <i>C</i>. Also, we introduced strongly CCLS if each c-closed submodule of <i>C</i> is a \"fully invariant summand\". We illustrate the structural features of these modules and locate these implications among some of modules’ properties.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170926","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
Generalized skew-derivations acting as commuting maps on prime rings 作为素环上交换映射的广义偏导
Annali dell''Universita di Ferrara Pub Date : 2025-06-20 DOI: 10.1007/s11565-025-00596-y
Pallavee Gupta, S. K. Tiwari
{"title":"Generalized skew-derivations acting as commuting maps on prime rings","authors":"Pallavee Gupta,&nbsp;S. K. Tiwari","doi":"10.1007/s11565-025-00596-y","DOIUrl":"10.1007/s11565-025-00596-y","url":null,"abstract":"<div><p>Suppose <i>R</i> is a non-commutative prime ring with char<span>((R)ne 2)</span>. Suppose that <span>(kappa left( x_{1}, ldots , x_{n}right) )</span> is a noncentral multilinear polynomial over <i>C</i>, <span>(S={kappa (wp _1,ldots ,wp _n) mid wp _1,ldots ,wp _n in R})</span>. If <i>F</i>, <i>G</i> and <i>H</i> are three generalized skew-derivations on <i>R</i> associated to the same automorphism <span>(beta )</span> such that </p><div><div><span>$$ Hleft( xi right) xi -F(xi )G(xi )=0 $$</span></div></div><p>for each <span>(xi in S)</span>. Let <span>(g_1,g_2,g_3 )</span> be the associated skew derivations respectively of <i>H</i>, <i>F</i> and <i>G</i>,  such that <span>(g_1,g_2,g_3)</span> are commuting with <span>(beta )</span>. Then we shall give the structure of <i>H</i>, <i>F</i> and <i>G</i>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167637","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
Novel p-numerical radius inequalities for Hilbert space operators 希尔伯特空间算子的新型p数值半径不等式
Annali dell''Universita di Ferrara Pub Date : 2025-06-04 DOI: 10.1007/s11565-025-00598-w
Ahlem Benmakhlouf, Abdelkader Frakis, Fuad Kittaneh, Abdelaziz Mennouni
{"title":"Novel p-numerical radius inequalities for Hilbert space operators","authors":"Ahlem Benmakhlouf,&nbsp;Abdelkader Frakis,&nbsp;Fuad Kittaneh,&nbsp;Abdelaziz Mennouni","doi":"10.1007/s11565-025-00598-w","DOIUrl":"10.1007/s11565-025-00598-w","url":null,"abstract":"<div><p>The present investigation provides several new inequalities for the <i>p</i>-numerical radii of Hilbert space operators. Furthermore, we present new results for the <i>p</i>-numerical radii of certain classes of operator matrices.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161686","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
Annihilator conditions and generalized derivations in prime rings 素环上的湮灭子条件和广义导数
Annali dell''Universita di Ferrara Pub Date : 2025-05-25 DOI: 10.1007/s11565-025-00597-x
B. Dhara, S. Kar, S. Ghosh
{"title":"Annihilator conditions and generalized derivations in prime rings","authors":"B. Dhara,&nbsp;S. Kar,&nbsp;S. Ghosh","doi":"10.1007/s11565-025-00597-x","DOIUrl":"10.1007/s11565-025-00597-x","url":null,"abstract":"<div><p>Let <i>R</i> be a prime ring with char <span>((R)ne 2)</span>, <i>I</i> be a nonzero ideal of <i>R</i>, <span>(f(x_1,ldots ,x_n))</span> be a noncentral multilinear polynomial over extended centroid <i>C</i> and <span>(0ne b'in R)</span>. Denote <span>(f(I)={f(t_1,ldots ,t_n) | t_1,ldots ,t_nin I})</span>. Suppose that <i>F</i>, <i>G</i> and <i>H</i> are three generalized derivations on <i>R</i> such that </p><div><div><span>$$begin{aligned} b'Big {FBig (G(V)VBig )-H(V^2)Big }=0 end{aligned}$$</span></div></div><p>for all <span>(Vin f(I))</span>. Then the structure of the maps <i>F</i>, <i>G</i>, <i>H</i> are described. This result naturally generalizes the results obtained by Carini and De Filippis in [Siberian Math. J. 53 (6) (2012), 1051-1060], Dhara and Argac in [Commun. Math. Stat. 4 (2016), 39-54] and completes the incomplete result of Tiwari in [Rend. Circ. Mat. Palermo, II. Ser 71 (2022), 207-223]. At the end of this paper an example is given to show that the primeness condition is not superfluous.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131658","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
Birational geometry of quaternions 四元数的双对数几何
Annali dell''Universita di Ferrara Pub Date : 2025-05-25 DOI: 10.1007/s11565-025-00595-z
Igor V. Nikolaev
{"title":"Birational geometry of quaternions","authors":"Igor V. Nikolaev","doi":"10.1007/s11565-025-00595-z","DOIUrl":"10.1007/s11565-025-00595-z","url":null,"abstract":"<div><p>The Hilbert class field of the quaternion algebra <i>B</i> is an algebra <span>({mathscr {H}}(B))</span> such that every two-sided ideal of <i>B</i> is principal in <span>({mathscr {H}}(B))</span>. We study the avatars of <i>B</i> and <span>({mathscr {H}}(B))</span>, i.e. algebraic surfaces attached to the quaternion algebras. It is proved that the avatar of <span>({mathscr {H}}(B))</span> is obtained from the avatar of <i>B</i> by a birational map. We apply this result to the analogy between number fields and function fields.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131659","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
Inequalities involving polar derivative and N-operator 涉及极导数和n算子的不等式
Annali dell''Universita di Ferrara Pub Date : 2025-05-14 DOI: 10.1007/s11565-025-00594-0
F. A. Bhat
{"title":"Inequalities involving polar derivative and N-operator","authors":"F. A. Bhat","doi":"10.1007/s11565-025-00594-0","DOIUrl":"10.1007/s11565-025-00594-0","url":null,"abstract":"<div><p>In this paper, we obtain some inequalities involving linear differential operator <i>N</i> for polynomials over complex domain and study the dependence of modulus of <span>(P(Rz)-beta P(rz)+delta { (frac{R+1}{r+1})^n-|beta |}P(rz))</span> for all complex numbers <span>(alpha , beta )</span> and <span>( delta )</span> with <span>(|alpha |ge 1, |beta |le 1, |delta |le 1)</span> on the extreme values of |<i>P</i>(<i>z</i>)| over the boundary of unit circle after successive applications of <span>(D_{alpha })</span> and <i>N</i>. Our results besides yielding some interesting inequalities as special cases also generalize recently obtained inequalities related to the content.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949669","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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