{"title":"4-dimensional (para)-Kähler-Weyl structures","authors":"P. Gilkey, S. Nikcevic","doi":"10.2298/PIM1308091G","DOIUrl":"https://doi.org/10.2298/PIM1308091G","url":null,"abstract":"We give an elementary proof of the fact that any 4-dimensional para-Hermitian \u0000 manifold admits a unique para-Kahler-Weyl structure. We then use analytic \u0000 continuation to pass from the para-complex to the complex setting and thereby \u0000 show that any 4-dimensional pseudo-Hermitian manifold also admits a unique \u0000 Kahler-Weyl structure. [Projekat Ministarstva nauke Republike Srbije, br. \u0000 174012]","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128135610","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}
{"title":"ALGEBRO-GEOMETRIC APPROACH TO THE YANG-BAXTER EQUATION AND RELATED TOPICS","authors":"V. Dragović","doi":"10.2298/PIM1205025D","DOIUrl":"https://doi.org/10.2298/PIM1205025D","url":null,"abstract":"We review the results of algebro-geometric approach to 4 × 4 solutions of the \u0000 Yang-Baxter equation. We emphasis some further geometric properties, \u0000 connected with the double-reflection theorem, the Poncelet porism and the \u0000 Euler-Chasles correspondence. We present a list of classifications in \u0000 Mathematical Physics with a similar geometric background, related to pencils \u0000 of conics. In the conclusion, we introduce a notion of discriminantly \u0000 factorizable polynomials as a result of a computational experiment with \u0000 elementary n-valued groups.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132824732","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}
{"title":"MICRO-LOCAL ANALYSIS IN SOME SPACES OF ULTRADISTRIBUTIONS","authors":"K. Johansson, S. Pilipovic, N. Teofanov, J. Toft","doi":"10.2298/PIM1206001J","DOIUrl":"https://doi.org/10.2298/PIM1206001J","url":null,"abstract":"We extend some results from [14] and [19], concerning wave-front sets of Fourier–Lebesgue and modulation space types, to a broader class of spaces of ultradistributions. We relate these wave-front sets one to another and to the usual wave-front sets of ultradistributions.Furthermore, we give a description of discrete wave-front sets by intro- ducing the notion of discretely regular points, and prove that these wave-front sets coincide with corresponding wave-front sets in [19]. Some of these inves- tigations are based on the properties of the Gabor frames.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133447438","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}
{"title":"The Difference between the product and the convolution product of distribution functions in Rn","authors":"E. Omey, R. Vesilo","doi":"10.2298/PIM1103019O","DOIUrl":"https://doi.org/10.2298/PIM1103019O","url":null,"abstract":"Assume that X→ and Y→ are independent, nonnegative d-dimensional random \u0000 vectors with distribution function (d.f.) F(x→) and G(x→), respectively. We \u0000 are interested in estimates for the difference between the product and the \u0000 convolution product of F and G, i.e., D(x→) = F(x→)G(x→) − F ∗ G(x→). Related \u0000 to D(x→) is the difference R(x→) between the tail of the convolution and the \u0000 sum of the tails: R(x→) = (1 − F ∗ G(x→))−(1 − F(x→) + 1 − G(x→)). We \u0000 obtain asymptotic inequalities and asymptotic equalities for D(x→) and R(x→). \u0000 The results are multivariate analogues of univariate results obtained by \u0000 several authors before.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126925897","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}
{"title":"Reflections on Dubinskiĭ’s nonlinear compact embedding theorem","authors":"J. Barrett, E. Suli","doi":"10.2298/PIM1205095B","DOIUrl":"https://doi.org/10.2298/PIM1205095B","url":null,"abstract":"We present an overview of a result by Yuliĭ Andreevich Dubinskiĭ [Mat. Sb. 67 \u0000 (109) (1965); translated in Amer. Math. Soc. Transl. (2) 67 (1968)], \u0000 concerning the compact embedding of a seminormed set in Lp(0, T;A0), where A0 \u0000 is a Banach space and p 2 [1,1]; we establish a variant of Dubinskiĭ’s \u0000 theorem, where a seminormed nonnegative cone is used instead of a seminormed \u0000 set; and we explore the connections of these results with a nonlinear compact \u0000 embedding theorem due to Emmanuel Maitre [Int. J. Math. Math. Sci. 27 \u0000 (2003)].","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126571049","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}
D. Doder, Bojan Marinkovic, P. Maksimovic, A. Perović
{"title":"A logic with conditional probability operators","authors":"D. Doder, Bojan Marinkovic, P. Maksimovic, A. Perović","doi":"10.2298/PIM1001085D","DOIUrl":"https://doi.org/10.2298/PIM1001085D","url":null,"abstract":"This paper presents a sound and strongly complete axiomatization of the reasoning about linear combinations of conditional probabilities, including compar- ative statements. The developed logic is decidable, with a PSPACE containment for the decision procedure.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122479254","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}
{"title":"ON THE SELBERG INTEGRAL OF THE k-DIVISOR FUNCTION AND THE 2k-TH MOMENT OF THE RIEMANN ZETA-FUNCTION","authors":"G. Coppola","doi":"10.2298/PIM1002099C","DOIUrl":"https://doi.org/10.2298/PIM1002099C","url":null,"abstract":"In the literature one can find links between the 2k-th moment of the Riemann zeta-function and averages involving dk(n), the divisor function generated by ζ k (s). There are, in fact, two bounds: one for the 2k-th moment of ζ(s) coming from a simple average of correlations of the dk; and the other, which is a more recent approach, for the Selberg integral involving dk(n), ap- plying known bounds for the 2k-th moment of the zeta-function. Building on the former work, we apply an elementary approach (based on arithmetic averages) in order to get the reverse link to the second work; i.e., we obtain (conditional) bounds for the 2k-th moment of the zeta-function from the Sel- berg integral bounds involving dk(n).","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129536968","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}
{"title":"Symmetries and integrability","authors":"B. Jovanović","doi":"10.2298/PIM0898001J","DOIUrl":"https://doi.org/10.2298/PIM0898001J","url":null,"abstract":"This is a survey on finite-dimensional integrable dynamical sys- tems related to Hamiltonian G-actions. Within a framework of noncommu- tative integrability we study integrability of G-invariant systems, collective motions and reduced integrability. We also consider reductions of the Hamil- tonian flows restricted to their invariant submanifolds generalizing classical Hess-Appel'rot case of a heavy rigid body motion.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116021619","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}
{"title":"A counter example on nontangential convergence for oscillatory integrals","authors":"K. Johansson","doi":"10.2298/PIM1001129J","DOIUrl":"https://doi.org/10.2298/PIM1001129J","url":null,"abstract":"Consider the solution of the time-dependent Schrodinger equation with initial data f. It is shown by Sjogren and Sjolin (1989) that there exists f in the Sobolev space Hs(Rn), s=n/2 such that tange ...","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130740991","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}
{"title":"COMPARISON OF SOME SOLUTION CONCEPTS FOR LINEAR FIRST-ORDER HYPERBOLIC DIFFERENTIAL EQUATIONS WITH NON-SMOOTH COEFFICIENTS","authors":"Simon Haller, G. Hörmann","doi":"10.2298/PIM0898123H","DOIUrl":"https://doi.org/10.2298/PIM0898123H","url":null,"abstract":"We discuss solution concepts for linear hyperbolic equations with coefficients of regularity below Lipschitz continuity. Thereby our focus is on theories which are based either on a generalization of the method of charac- teristics or on refined techniques concerning energy estimates. We provide a series of examples both as simple illustrations of the notions and conditions involved but also to show logical independence among the concepts.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123954957","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}