Additive unit structure of endomorphism rings and invariance of modulesBulletin of Mathematical Sciences - Tập 7 - Trang 229-246 - 2016
Pedro A. Guil Asensio, Truong Cong Quynh, Ashish K. Srivastava
We use the type theory for rings of operators due to Kaplansky to describe the structure of modules that are invariant under automorphisms of their injective envelopes. Also, we highlight the importance of Boolean rings in the study of such modules. As a consequence of this approach, we are able to further the study initiated by Dickson and Fuller regarding when a module invariant under automorphi...... hiện toàn bộ
Semi-classical analysis of the Laplace operator with Robin boundary conditionsBulletin of Mathematical Sciences - Tập 2 - Trang 281-319 - 2012
Rupert L. Frank, Leander Geisinger
We prove a two-term asymptotic expansion of eigenvalue sums of the Laplacian on a bounded domain with Neumann, or more generally, Robin boundary conditions. We formulate and prove the asymptotics in terms of semi-classical analysis. In this reformulation it is natural to allow the function describing the boundary conditions to depend on the semi-classical parameter and we identify and analyze thre...... hiện toàn bộ
Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnectionsBulletin of Mathematical Sciences - Tập 4 - Trang 481-525 - 2014
P. L. Butzer, M. M. Dodson, P. J. S. G. Ferreira, J. R. Higgins, G. Schmeisser, R. L. Stens
The present paper deals mainly with seven fundamental theorems of mathematical analysis, numerical analysis, and number theory, namely the generalized Parseval decomposition formula (GPDF), introduced 15 years ago, the well-known approximate sampling theorem (ASF), the new approximate reproducing kernel theorem, the basic Poisson summation formula, already known to Gauß, a newer version of the GPD...... hiện toàn bộ
On just-infiniteness of locally finite groups and their $$C^*$$ -algebrasBulletin of Mathematical Sciences - Tập 7 - Trang 167-175 - 2016
V. Belyaev, R. Grigorchuk, P. Shumyatsky
We give a construction of a family of locally finite residually finite groups with just-infinite
$$C^*$$
-algebra. This answers a question from Grigorchuk et al. (Just-infinite
...... hiện toàn bộ