Zobrazeno 1 - 10
of 53
pro vyhledávání: '"11S85"'
Autor:
Zúñiga-Galindo, W. A.
We introduce a new class of deep neural networks (DNNs) with multilayered tree-like architectures. The architectures are codified using numbers from the ring of integers of non-Archimdean local fields. These rings have a natural hierarchical organiza
Externí odkaz:
http://arxiv.org/abs/2402.00094
The local theory of complex dimensions for real and $p$-adic fractal strings describes oscillations that are intrinsic to the geometry, dynamics and spectrum of archimedean and nonarchimedean fractal strings. We aim to develop a global theory of comp
Externí odkaz:
http://arxiv.org/abs/2012.11535
Publikováno v:
International Journal of Algebra and Computation 32 (2022) 561-596
We address the following decision problem. Given a numeration system $U$ and a $U$-recognizable set $X\subseteq\mathbb{N}$, i.e. the set of its greedy $U$-representations is recognized by a finite automaton, decide whether or not $X$ is ultimately pe
Externí odkaz:
http://arxiv.org/abs/2007.08147
Autor:
Ye, Shuyang
Let $G$ be a connected reductive group over a $p$-adic local field $F$. We propose and study the notions of $G$-$\varphi$-modules and $G$-$(\varphi,\nabla)$-modules over the Robba ring, which are exact faithful $F$-linear tensor functors from the cat
Externí odkaz:
http://arxiv.org/abs/2004.01224
Publikováno v:
P-Adic Num Ultrametr Anal Appl 14, 1-13 (2022)
In this work we study $p$-adic continuous functions in several variables taking values on $\mathbb{Z}_p$. We describe the orthonormal van der Put base of these functions and study various Lipschitz conditions in several variables, generalizing previo
Externí odkaz:
http://arxiv.org/abs/2001.06455
We characterize the dynamical systems consisting of the set of 5-adic integers and polynomial maps which consist of only one minimal component.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1809.01363
Autor:
Ahmad, Owais, Shah, F. A.
Shah and Abdullah [Complex Analysis Operator Theory, 9 (2015), 1589-1608] have introduced a generalized notion of nonuniform multiresolution analysis (NUMRA) on local field $K$ of positive characteristic in which the translation set $\Lambda$ acting
Externí odkaz:
http://arxiv.org/abs/1801.00417
Autor:
Ahmad, Owais, Shah, F. A.
A generalization of Mallat's classic theory of multiresolution analysis based on the theory of spectral pairs was considered by Gabardo and Nashed (J. Funct. Anal. 158, 209-241, 1998). In this article, we introduce the notion of biorthgonoal nonunifo
Externí odkaz:
http://arxiv.org/abs/1712.02058
Autor:
Kaneko, Hajime, Stoll, Thomas
In the present paper, we generalize the well-known Hensel's lifting lemma to any continuous function $f : \mathbb{Z}_p\rightarrow \mathbb{Z}_p$. This answers a question posed by Axelsson and Khrennikov (2016) who showed the validity of Hensel's lemma
Externí odkaz:
http://arxiv.org/abs/1707.01445
In this article we establish theory of semi-orthogonal Parseval wavelets associated to generalized multiresolution analysis (GMRA) for the local field of positive characteristics (LFPC). By employing the properties of translation invariant spaces on
Externí odkaz:
http://arxiv.org/abs/1511.05703