Results 191 to 200 of about 1,119,199 (236)

The convolution algebra of Schwartz kernels along a singular foliation

Journal of operator theory, 2021
Motivated by the study of H\"ormander's sums-of-squares operators and their generalizations, we define the convolution algebra of transverse distributions associated to a singular foliation.
Iakovos Androulidakis, Omar Mohsen, R. Yuncken   +2 more
semanticscholar   +1 more source

The two‐sided short‐time quaternionic offset linear canonical transform and associated convolution and correlation

Mathematical methods in the applied sciences, 2023
In this paper, we introduce the two‐dimensional short‐time quaternion offset linear canonical transform (ST‐QOLCT), which is a generalization of the classical short‐time offset linear canonical transform (ST‐OLCT) in quaternion algebra setting.
M. Y. Bhat, Aamir Hamid Dar
semanticscholar   +1 more source

GROUP ALGEBRA, CONVOLUTION ALGEBRA, AND APPLICATIONS TO QUANTUM MECHANICS.

Reviews of Modern Physics, 1967
The symmetry group of the Hamiltonian plays a fundamental role in quantum theory in the classification of stationary states and in studying transition probabilities and selection rules. It is here shown that the properties of the group may be given a condensed and transparent description in terms of the convolution algebra, and that Schur's lemma ...
P. Loewdin
semanticscholar   +3 more sources

Convolution operators on Banach–Orlicz algebras

Analysis Mathematica, 2020
For a locally compact group \(G\), let \(\mathcal{L}^{\Phi} (G)\) and \(\mathcal{L}_{\omega}^{\Phi} (G)\) denote the Orlicz and weighted Orlicz spaces, respectively, where \(\Phi\) is a Young function and \(\omega\) is a weight on \(G\). The authors study harmonic and convolution operators on Orlicz and weighted Orlicz spaces.
Ebadian, A., Jabbari, A.
openaire   +1 more source

Convolution and correlation algebras

Kybernetik, 1973
An algebraic characterization of convolution and correlation is outlined. The basic algebraic structures generated on a suitable vector space by the two operations are described. The convolution induces an associative Abelian algebra over the real field; the correlation induces a not-associative, not-commutative — but Lieadmissible algebra — with a ...
Borsellino, A., Poggio, T.
openaire   +3 more sources

Convolutional codes I: Algebraic structure

IEEE Transactions on Information Theory, 1970
Summary: A convolutional encoder is defined as any constant linear sequential circuit. The associated code is the set of all output sequences resulting from any set of input sequences beginning at any time. Encoders are called equivalent if they generate the same code. The invariant factor theorem is used to determine when a convolutional encoder has a
openaire   +1 more source

Convolution algebras over complete semirings

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the Expressiveness of LARA: A Unified Language for Linear and Relational Algebra

International Conference on Database Theory, 2019
We study the expressive power of the LARA language -- a recently proposed unified model for expressing relational and linear algebra operations -- both in terms of traditional database query languages and some analytic tasks often performed in machine ...
P. Barceló, N. Higuera, Jorge Pérez, Bernardo Subercaseaux   +3 more
semanticscholar   +1 more source

Algebra homomorphisms from cosine convolution algebras

Israel Journal of Mathematics, 2008
The author considers the cosine convolution product \(\ast_c\) in the Banach space \(L_\omega^{1}({\mathbb R}^{+})\) (for certain weight functions \(\omega\)). The character space of the corresponding Banach algebra \(L_\omega^{1}(\mathbb R^{+}, \ast_c)\) is described and it is proved that its multiplier algebra is isomorphic to \(M_\omega(\mathbb R^{+}
openaire   +1 more source

Representations of Convolution Algebras

2009
Our primary goal in this chapter is to obtain a classification of simple modules over the affine Hecke algebra H although the techniques we develop works in much greater generality (we will indicate this on several occasions). In §8.1 we introduce a class of “standard” H-modules.
Neil Chriss, Victor Ginzburg
openaire   +1 more source