Results 81 to 90 of about 1,198,947 (283)

Integration on locally compact noncommutative spaces

Journal of Functional Analysis, 2012
We present an ab initio approach to integration theory for nonunital spectral triples. This is done without reference to local units and in the full generality of semifinite noncommutative geometry. The main result is an equality between the Dixmier trace and generalised residue of the zeta function and heat kernel of suitable operators.
Alan L. Carey, Adam Rennie, Adam Rennie, Fedor Sukochev, Victor Gayral   +4 more
openaire   +4 more sources

Harmonic Synthesis on Group Extensions

Mathematics
Harmonic synthesis describes translation invariant linear spaces of continuous complex valued functions on locally compact abelian groups. The basic result due to L.
László Székelyhidi
doaj   +1 more source

One point compactification for generalized quotient spaces

Applied General Topology, 2010
The concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature.
V. Karunakaran, C. Ganesan
doaj   +1 more source

Fuzzification of Strongly Compact and Locally Strongly Compact Spaces [PDF]

arXiv, 2018
In this paper, we study some characterizations of fuzzifying strong compactness including nets and pre-subbases properties. We also introduve new characterizations of locally strong compactness in fuzzifying topology and mappings.
arxiv  

On the equidistribution of totally geodesic submanifolds in compact locally symmetric spaces and application to boundedness results for negative curves and exceptional divisors [PDF]

, 2015
We prove an equidistribution result for totally geodesic submanifolds in a compact locally symmetric space. In the case of Hermitian locally symmetric spaces, this gives a convergence theorem for currents of integration along totally geodesic ...
Koziarz, Vincent, Maubon, Julien
core   +1 more source

The Concentration Function Problem for Locally Compact Groups Revisited: Nondissipating Space-Time Random Walks, -Decomposable Laws, and Their Continuous Time Analogues

Journal of Mathematics, 2013
The concentration function problem for locally compact groups is concerned with the structure of groups admitting adapted nondissipating random walks.
Wilfried Hazod
doaj   +1 more source

Unitary representability of free abelian topological groups

Applied General Topology, 2008
For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
doaj   +1 more source

Hausdorff operators on homogeneous spaces of locally compact groups

Журнал Белорусского государственного университета: Математика, информатика, 2020
Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators on general groups were defined and studied by the author since 2019.
Adolf R. Mirotin
doaj   +1 more source

Products of locally compact spaces are k_R-spaces [PDF]

arXiv, 2018
A theorem by Norman L. Noble from 1970 asserts that every product of completely regular, locally pseudo-compact k_R-spaces is a k_R-space. As a consequence, all direct products of locally compact Hausdorff spaces are k_R-spaces. We provide a streamlined proof for this fact.
arxiv  

Localization and compactness of operators on Fock spaces

Journal of Mathematical Analysis and Applications, 2018
23 ...
HU, Zhangjian, Lv, Xiaofen, Wick, Brett D   +2 more
openaire   +5 more sources