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Bulletin: Classe Des Sciences Mathematiques Et Natturalles最新文献

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On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets 关于Colombeau代数的对偶理论和伪微分技术:广义δ泛函、核和波前集
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 2005-07-11 DOI: 10.2298/BMAT0631115G
Claudia Garetto, G. Hörmann
{"title":"On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets","authors":"Claudia Garetto, G. Hörmann","doi":"10.2298/BMAT0631115G","DOIUrl":"https://doi.org/10.2298/BMAT0631115G","url":null,"abstract":"Summarizing basic facts from abstract topological modules over Colombeau generalized complex numbers we discuss duality of Colombeau algebras. In particular, we focus on generalized delta functional and operator kernels as elements of dual spaces. A large class of examples is provided by pseudodifferential operators acting on Colombeau algebras. By a refinement of symbol calculus we review a new characterization of the wave front set for generalized functions with applications to microlocal analysis. AMS Mathematics Subject Classification (2000): 46F30, 46A20, 47G30.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127029950","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: 20
On derivations over rings of triangular matrices 关于三角矩阵环上的导数
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0530077B
A. L. Barrenechea, C. Peña
{"title":"On derivations over rings of triangular matrices","authors":"A. L. Barrenechea, C. Peña","doi":"10.2298/BMAT0530077B","DOIUrl":"https://doi.org/10.2298/BMAT0530077B","url":null,"abstract":"The purpose of this article is to describe the structure of derivations over general rings of upper or lower triangular matrices. Some examples are developed, together with a simple formula that gives the dimension of the module of derivations on the center of the underlying ring.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125333278","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: 2
On some product conform ally flat locally decomposable Riemannian manifolds 在某些积上一致平坦局部可分解黎曼流形
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0530061P
M. Prvanović
{"title":"On some product conform ally flat locally decomposable Riemannian manifolds","authors":"M. Prvanović","doi":"10.2298/BMAT0530061P","DOIUrl":"https://doi.org/10.2298/BMAT0530061P","url":null,"abstract":"We investigate product conform ally flat locally decomposable Riemannian manifolds whose curvature tensor can be expressed in the terms of Ricci tensors only.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122412223","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: 2
Fine resolution of the sheaf of germs of holomorphic projective vector fields on two dimensional protectively flat complex manifold 二维保护平面复流形上全纯投影向量场簇的精细分辨
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/bmat0530009m
O. Milenkovic
{"title":"Fine resolution of the sheaf of germs of holomorphic projective vector fields on two dimensional protectively flat complex manifold","authors":"O. Milenkovic","doi":"10.2298/bmat0530009m","DOIUrl":"https://doi.org/10.2298/bmat0530009m","url":null,"abstract":"In the article fine resolution of the sheaf of germs of complex projective vector fields on a locally projective complex manifold M4 of complex dimension n = 2 is given. The local coordinate charts on the manifolds are chosen so that they are adapted to the complex projective pseudo-group structure and carry therefore the geometry of the structure.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128544118","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
Inhomogeneous Gevrey ultradistributions and Cauchy problem 非齐次Gevrey超分布与Cauchy问题
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0631176C
D. Calvo, L. Rodino
{"title":"Inhomogeneous Gevrey ultradistributions and Cauchy problem","authors":"D. Calvo, L. Rodino","doi":"10.2298/BMAT0631176C","DOIUrl":"https://doi.org/10.2298/BMAT0631176C","url":null,"abstract":"After a short survey on Gevrey functions and ultradistributions, we present the inhomogeneous Gevrey ultradistributions introduced recently by the authors in collaboration with A. Morando, cf. [7]. Their definition depends on a given weight function λ, satisfying suitable hypotheses, according to Liess-Rodino [16]. As an application, we define (s, λ)-hyperbolic partial differential operators with constant coefficients (for s > 1), and prove for them the well-posedness of the Cauchy problem in the frame of the corresponding inhomogeneous ultradistributions. This sets in the dual spaces a similar result of Calvo [4] in the inhomogeneous Gevrey classes, that in turn extends a previous result of Larsson [14] for weakly hyperbolic operators in standard homogeneous Gevrey classes. AMS Mathematics Subject Classification (2000): 46F05, 35E15, 35S05.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133767964","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
Regularity theory in Colombeau algebras Colombeau代数中的正则性理论
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0631148O
M. Oberguggenberger
{"title":"Regularity theory in Colombeau algebras","authors":"M. Oberguggenberger","doi":"10.2298/BMAT0631148O","DOIUrl":"https://doi.org/10.2298/BMAT0631148O","url":null,"abstract":"This paper introduces and discusses various notions of regularity of solutions to partial differential equations in Colombeau al- gebras. The aim is to suggest a number of approaches that allow to extend the regularity theory to nonlinear equations. A relation with the notion of delta waves is observed.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124829099","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: 16
Quasiasymptotic expansion of distributions with applications to the Steltjes transform 分布的拟渐近展开式及其在Steltjes变换中的应用
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0429001G
S. B. Gaikwad, M. Chandhari
{"title":"Quasiasymptotic expansion of distributions with applications to the Steltjes transform","authors":"S. B. Gaikwad, M. Chandhari","doi":"10.2298/BMAT0429001G","DOIUrl":"https://doi.org/10.2298/BMAT0429001G","url":null,"abstract":"Following the approach of Drozinov, Vladimirov and Zavialov we investigate the quasiasymptotic expansion of distributions and give Abelian type results for the ordinary asymptotic behavior of the distributional modified Stieltjes transform of a distribution with appropriate quasiasymptotic expansion .","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129517085","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: 1
On some mean value results involving đζ(1/2 + it)đ 对一些涉及đζ(1/2 + it)的平均值结果
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0328017I
A. Ivic
{"title":"On some mean value results involving đζ(1/2 + it)đ","authors":"A. Ivic","doi":"10.2298/BMAT0328017I","DOIUrl":"https://doi.org/10.2298/BMAT0328017I","url":null,"abstract":"Several problems involving E(T) and E2(T), the error terms in the mean square and mean fourth moment formula for |ζ(1/2 + it)|, are discussed. In particular it is proved that ∫0T« E(t)E2(T)dt«T7/4(logT)7/2loglogT. .","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128382739","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: 1
Orthogonal polynomials related to the oscillatory: Chebyshev weight function 与振荡有关的正交多项式:切比雪夫权函数
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0530047M
G. Milovanović, A. Cvetkovic
{"title":"Orthogonal polynomials related to the oscillatory: Chebyshev weight function","authors":"G. Milovanović, A. Cvetkovic","doi":"10.2298/BMAT0530047M","DOIUrl":"https://doi.org/10.2298/BMAT0530047M","url":null,"abstract":"In this paper we discuss the existence question for polynomials orthogonal with respect to the moment functional \u0001 Since the weight function alternates in sign in the interval of orthogonality, the existence of orthogonal polynomials is not assured. A no constructive proof of the existence is given. The three-term recurrence relation for such polynomials is investigated and the asymptotic formulae for recursion coefficients are derived.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124462077","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: 8
Distribution semigroups on K1 K1上的分布半群
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0328007M
Milorad Mijatovic, S. Pilipovic
{"title":"Distribution semigroups on K1","authors":"Milorad Mijatovic, S. Pilipovic","doi":"10.2298/BMAT0328007M","DOIUrl":"https://doi.org/10.2298/BMAT0328007M","url":null,"abstract":"Distribution semigroup in the sense of Wang and Kunstmana and the properties of infinitesimal generator are considered with in exponentially bounded distributions. Results are applied on a class of equations of the form (∂/∂t)4-An = ƒ, ƒ Є Κ+1 (L(e)), where D(A) c L∞(R) or D(A) c E = Cb(R).","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122039780","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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