Multidimensional Ultrametric Pseudodifferential Equations
Author : Sergio Albeverio
Publisher :
Page : 20 pages
File Size : 10,9 MB
Release : 2007
Category :
ISBN :
Author : Sergio Albeverio
Publisher :
Page : 20 pages
File Size : 10,9 MB
Release : 2007
Category :
ISBN :
Author : Andreĭ I︠U︡rʹevich Khrennikov
Publisher : Cambridge University Press
Page : 255 pages
File Size : 46,43 MB
Release : 2018-04-26
Category : Mathematics
ISBN : 1107188822
Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.
Author : S. Albeverio
Publisher : Cambridge University Press
Page : 369 pages
File Size : 23,37 MB
Release : 2010-03-18
Category : Mathematics
ISBN : 0521148561
A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.
Author : Carlos Galindo
Publisher : American Mathematical Society
Page : 311 pages
File Size : 24,53 MB
Release : 2022-05-11
Category : Mathematics
ISBN : 1470467798
This volume contains the proceedings of the 2019 Lluís A. Santaló Summer School on $p$-Adic Analysis, Arithmetic and Singularities, which was held from June 24–28, 2019, at the Universidad Internacional Menéndez Pelayo, Santander, Spain. The main purpose of the book is to present and analyze different incarnations of the local zeta functions and their multiple connections in mathematics and theoretical physics. Local zeta functions are ubiquitous objects in mathematics and theoretical physics. At the mathematical level, local zeta functions contain geometry and arithmetic information about the set of zeros defined by a finite number of polynomials. In terms of applications in theoretical physics, these functions play a central role in the regularization of Feynman amplitudes and Koba-Nielsen-type string amplitudes, among other applications. This volume provides a gentle introduction to a very active area of research that lies at the intersection of number theory, $p$-adic analysis, algebraic geometry, singularity theory, and theoretical physics. Specifically, the book introduces $p$-adic analysis, the theory of Archimedean, $p$-adic, and motivic zeta functions, singularities of plane curves and their Poincaré series, among other similar topics. It also contains original contributions in the aforementioned areas written by renowned specialists. This book is an important reference for students and experts who want to delve quickly into the area of local zeta functions and their many connections in mathematics and theoretical physics.
Author : David R. Larson
Publisher : American Mathematical Soc.
Page : 306 pages
File Size : 15,77 MB
Release : 2008
Category : Mathematics
ISBN : 0821841440
This volume contains articles based on talks presented at the Special Session Frames and Operator Theory in Analysis and Signal Processing, held in San Antonio, Texas, in January of 2006.
Author : Nguyen Minh Chuong
Publisher : Springer
Page : 368 pages
File Size : 28,79 MB
Release : 2018-11-28
Category : Mathematics
ISBN : 3319774735
This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs), non-classical pseudodifferential BVPs, wavelets and Hardy spaces, wavelet integral operators, and wavelet solutions to Cauchy problems over the real field and the p-adic field.
Author : Biswaranjan Behera
Publisher : Springer Nature
Page : 345 pages
File Size : 50,66 MB
Release : 2022-01-01
Category : Mathematics
ISBN : 9811678812
This book discusses the theory of wavelets on local fields of positive characteristic. The discussion starts with a thorough introduction to topological groups and local fields. It then provides a proof of the existence and uniqueness of Haar measures on locally compact groups. It later gives several examples of locally compact groups and describes their Haar measures. The book focuses on multiresolution analysis and wavelets on a local field of positive characteristic. It provides characterizations of various functions associated with wavelet analysis such as scaling functions, wavelets, MRA-wavelets and low-pass filters. Many other concepts which are discussed in details are biorthogonal wavelets, wavelet packets, affine and quasi-affine frames, MSF multiwavelets, multiwavelet sets, generalized scaling sets, scaling sets, unconditional basis properties of wavelets and shift invariant spaces.
Author : Vasili? Sergeevich Vladimirov
Publisher : World Scientific
Page : 350 pages
File Size : 36,43 MB
Release : 1994
Category : Science
ISBN : 9789810208806
p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.
Author : Zoran Rakic
Publisher : American Institute of Physics
Page : 392 pages
File Size : 42,31 MB
Release : 2006-04-06
Category : Mathematics
ISBN :
The subject of this conference was recent developments in p-adic mathematical physics and related areas. The field of p-Adic mathematical physics was conceived in 1987 as a result of attempts to find non-Archimedean approaches to space-time at the Planck scale as well as to strings. Since then, many applications of p-adic numbers and adeles in physics and related sciences have emerged. Some of them are p-adic and adelic string theory, p-adic and adelic quantum mechanics and quantum field theory, ultrametricity of spin glasses, biological and hierarchical systems, p-adic dynamical systems, p-adic probability theory, p-adic models of cognitive processes and cryptography, as well as p-adic and adelic cosmology.
Author : Die deutsche Nationalbibliothek
Publisher :
Page : 938 pages
File Size : 37,1 MB
Release : 2007
Category :
ISBN :