On p-adic mathematical physics
On p-adic mathematical physics | p-Adic Numbers, Ultrametric Analysis and Applications Skip
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p-Adic mathematical physics: the first 30 years
Abstract p-Adic mathematical physics is a branch of modern mathematical physics based on
the application of p-adic mathematical methods in modeling physical and related …
the application of p-adic mathematical methods in modeling physical and related …
[图书][B] Wavelet transforms and their applications
L Debnath, FA Shah - 2015 - Springer
Historically, the theory of Hilbert spaces originated from David Hilbert's (1862–1943) work
on quadratic forms in infinitely many variables with their applications to integral equations …
on quadratic forms in infinitely many variables with their applications to integral equations …
[图书][B] P-adic deterministic and random dynamics
AY Khrennikov, M Nilsson - 2013 - books.google.com
This book provides an overview of the theory of p-adic (and more general non-
Archimedean) dynamical systems. The main part of the book is devoted to discrete …
Archimedean) dynamical systems. The main part of the book is devoted to discrete …
[HTML][HTML] p-Adic refinable functions and MRA-based wavelets
AY Khrennikov, VM Shelkovich, M Skopina - Journal of Approximation …, 2009 - Elsevier
The main goal of this paper is the development of the MRA theory in L2 (Qp). We described
a wide class of p-adic refinement equations generating p-adic multiresolution analyses. A …
a wide class of p-adic refinement equations generating p-adic multiresolution analyses. A …
Harmonic analysis in the p-adic Lizorkin spaces: fractional operators, pseudo-differential equations, p-adic wavelets, Tauberian theorems
S Albeverio, AY Khrennikov, VM Shelkovich - Journal of Fourier Analysis …, 2006 - Springer
In this article the p-adic Lizorkin spaces of test functions and distributions are introduced.
Multi-dimensional Vladimirov's and Taibleson's fractional operators, and a class of p-adic …
Multi-dimensional Vladimirov's and Taibleson's fractional operators, and a class of p-adic …
p-Adic Multiresolution Analysis and Wavelet Frames
S Albeverio, S Evdokimov, M Skopina - Journal of Fourier Analysis and …, 2010 - Springer
We study p-adic multiresolution analyses (MRAs). A complete characterization of test
functions generating an MRA (scaling functions) is given. We prove that only 1-periodic test …
functions generating an MRA (scaling functions) is given. We prove that only 1-periodic test …
The Haar wavelet transform of a dendrogram
F Murtagh - Journal of Classification, 2007 - Springer
We describe a new wavelet transform, for use on hierarchies or binary rooted trees. The
theoretical framework of this approach to data analysis is described. Case studies are used …
theoretical framework of this approach to data analysis is described. Case studies are used …
Modeling fluid's dynamics with master equations in ultrametric spaces representing the treelike structure of capillary networks
A Khrennikov, K Oleschko, MJ Correa Lopez - Entropy, 2016 - mdpi.com
We present a new conceptual approach for modeling of fluid flows in random porous media
based on explicit exploration of the treelike geometry of complex capillary networks. Such …
based on explicit exploration of the treelike geometry of complex capillary networks. Such …
p-Adic Haar Multiresolution Analysis and Pseudo-Differential Operators
V Shelkovich, M Skopina - Journal of Fourier Analysis and Applications, 2009 - Springer
The notion of p-adic multiresolution analysis (MRA) is introduced. We discuss a “natural”
refinement equation whose solution (a refinable function) is the characteristic function of the …
refinement equation whose solution (a refinable function) is the characteristic function of the …