Search Results

You are looking at 101 - 110 of 217 items for :

  • "decomposition" x
  • Mathematics and Statistics x
  • Refine by Access: All Content x
Clear All

., Amenability and paradoxical decompositions for pseudogroups and discrete metric spaces, Trudy Mat. Inst. Steklova 224 (1999), 68-111. The web-site http://www. unige.ch/math/biblio/preprint/1998/ contains a summary in French including also a one page abridged

Restricted access

. [4] Ganster , M. , Reilly , I. 1990 A decomposition of continuity Acta Math. Hungar. 56 299 – 301 10.1007/BF01903846 . [5] Ginsburg , J. , Sands , B

Restricted access
Acta Mathematica Hungarica
Authors: A. S. Mashhour, I. A. Hasanein, and S. N. El-Deeb

. [3] Levine , N. 1961 A decomposition of continuity in topological spaces Amer. Math. Monthly 68 44 – 46 10

Restricted access

We consider some aspects of harmonic analysis of the differential operator Cv=d2/dx2+{v21/4)/a?2,v>1. Spectral decomposition of its self-adjoint extension is given in terms of the Hankel transform H ν. We present a fairly detailed analysis of the corresponding Poisson semigroup {P t}t > 0: this is given in a weighted setting with A p-weights involved. Then, we consider conjugate Poisson integrals of functions from L p(w), wA p, 1 ≦ p < ∞. Boundary values of the conjugate Poisson integrals exist both in L p(w) and a.e., and the resulting mapping is called the generalized Hilbert transform. Mapping properties of that transform are then proved. All this complements, in some sense, the analysis of conjugacy for the modified Hankel transform H ν which was initiated in the classic paper of Muckenhoupt and Stein [15], then continued in a series of papers by Andersen, Kerman, Rooney and others.

Restricted access

References [1] Davey , B. A . and Priestley , H. A . Introduction to Lattices and Order . Cambridge University Press , Cambridge , 2002 . Second edition . [2] Dilworth , R. P . A decomposition theorem for partially ordered sets

Open access

Abstract

Let R be a commutative ring and Max (R) be the set of maximal ideals of R. The regular digraph of ideals of R, denoted by , is a digraph whose vertex set is the set of all non-trivial ideals of R and for every two distinct vertices I and J, there is an arc from I to J whenever I contains a J-regular element. The undirected regular (simple) graph of ideals of R, denoted by Γreg(R), has an edge joining I and J whenever either I contains a J-regular element or J contains an I-regular element. Here, for every Artinian ring R, we prove that |Max (R)|−1≦ωreg(R))≦|Max (R)| and , where k is the number of fields, appeared in the decomposition of R to local rings. Among other results, we prove that is strongly connected if and only if R is an integral domain. Finally, the diameter and the girth of the regular graph of ideals of Artinian rings are determined.

Restricted access

applications dealing with multi-way data. For instance, tensor is a natural model to integrate multi-view data (Kolda and Bader 2006 ); a tensor method named multi-linear singular value decomposition (MLSVD) can provide several meaningful matrix factors and

Restricted access

] T amura , T. , Note of the greatest semilattice decomposition of semigroups , Semi-group Forum , 4 ( 1972 ), 255 – 261 .

Restricted access

Communicated by E. Csáki References [1] D ambis , К. E. , On the decomposition of

Restricted access

of cryptogroups , Semigroup Forum , 73 ( 2006 ), 395 – 403 . [19] Trotter , P. G. , Subdirect decompositions of the

Restricted access