Bulletin of Mathematical Sciences
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Additive unit structure of endomorphism rings and invariance of modules
Bulletin of Mathematical Sciences - Tập 7 - Trang 229-246 - 2016
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...
Construction of nearly hyperbolic distance on punctured spheres
Bulletin of Mathematical Sciences - Tập 8 Số 2 - Trang 307-323 - 2018
Semi-classical analysis of the Laplace operator with Robin boundary conditions
Bulletin of Mathematical Sciences - Tập 2 - Trang 281-319 - 2012
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...
Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections
Bulletin of Mathematical Sciences - Tập 4 - Trang 481-525 - 2014
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theorem, the basic Poisson summation formula, already known to Gauß, a newer
version of the GPD...
On just-infiniteness of locally finite groups and their $$C^*$$ -algebras
Bulletin of Mathematical Sciences - Tập 7 - Trang 167-175 - 2016
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 $$C^*$$ -algebras. https://arxiv.org/abs/1604.08774 , 2016).
Additionally, we show that residually finite groups of finite exponent are never
just-infinite....
Classification and properties of the $$\pi $$ -submaximal subgroups in minimal nonsolvable groups
Bulletin of Mathematical Sciences - Tập 8 - Trang 325-351 - 2017
Let $$\pi $$ be a set of primes. According to H. Wielandt, a subgroup H of a
finite group X is called a $$\pi $$ -submaximal subgroup if there is a
monomorphism $$\phi :X\rightarrow Y$$ into a finite group Y such that $$X^\phi
$$ is subnormal in Y and $$H^\phi =K\cap X^\phi $$ for a $$\pi $$ -maximal
subgroup K of Y. In his talk at the celebrated conference on finite groups in
Santa-Cruz (USA) in ...
Algorithmically complex residually finite groups
Bulletin of Mathematical Sciences - Tập 7 Số 2 - Trang 309-352 - 2017
Correction to: The Weyl product on quasi-Banach modulation spaces
Bulletin of Mathematical Sciences -
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