Nova Publishers
My Account Nova Publishers Shopping Cart
HomeBooksSeriesJournalsReference CollectionseBooksInformationSalesImprintsFor Authors
            
  Top » Catalog » Books » Mathematics and Statistics » My Account  |  Cart Contents  |  Checkout   
Quick Find
  
Use keywords to find the product you are looking for.
Advanced Search
What's New? more
Advances in Environmental Research. Volume 59
$150.00
Shopping Cart more
0 items
Information
Shipping & Returns
Privacy Notice
Conditions of Use
Contact Us
Bestsellers
01.Algebra for Athletes 2nd Edition
02.Advanced Mathematics for Engineers with Applications in Stochastic Processes
03.Pseudo-Matroids and Cuts of Matroids
04.Dynamic Fuzzy Logic and its Applications
05.Advanced Mathematics for Engineers with Applications in Stochastic Processes
06.How to Solve Problems: New Methods and Ideas
07.Introduction to Graph and Hypergraph Theory
08.Engineering Perspectives of Human Society: Application of Control Theory, Game Theory, and Information Theory to Social Phenomena
09.Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing
10.The Mathematics of the Periodic Table
Notifications more
NotificationsNotify me of updates to Quasi-Invariant and Pseudo-Differentiable Measures in Banach Spaces
Tell A Friend
 
Tell someone you know about this product.
Quasi-Invariant and Pseudo-Differentiable Measures in Banach Spaces
Retail Price: $215.00
10% Online Discount
You Pay:

$193.50
Authors: Sergey Ludkovsky (Dept. of Applied Mathematics, Moscow State Technical Univ., MIREA, Moscow, Russia) 
Book Description:
This book is devoted to new results of investigations of non-Archimedean functional analysis, which is becoming more important nowadays due to the development of non-Archimedean mathematical physics, particularly, quantum mechanics, quantum field theory, theory of super-strings and super-gravity (VV89, VVZ94, ADV88, Cas02, DD00, Ish84, Khr90, Lud99t, Lud03b, Mil84, Jan 98). Recently non-Archimedean analysis was found to be useful in dynamical systems, mathematical biology, mathematical psychology, cryptology and information theory. On the other hand, quantum mechanics is based on measure theory and probability theory. The results of this
book published mainly in papers [Lud02a, Lud03s2, Lud04a, Lud96c, Lud99a, Lud00a, Lud99t, Lud01f, Lud00f, Lud99s, Lud04b] have served for investigations of non-Archimedean stochastic processes (Lud0321, Lud0341, Lud0348,Lud01f, LK02). Stochastic approach in quantum-field theory is actively used and investigated especially in recent years (see, for example, and references therein (AHKMT93, AHKT84]). As it is well-known in the theory of functions great role is played by continuous functions and differentiable functions.
In classical measure theory, the analog of continuity is quasi-invariance relative to shifts and actions of linear or non-linear operators in the Banach space. Moreover, differentiability of measures is the stronger condition and there is a very large theory about it in the classical case. Apart from it, the non-Archimedean case was less studied. Since there are not any non-trivial differentiable functions from the p-adic field Qp into R or into another p-adic non-Archimedean field Qp' with p not equal to p', then instead of differentiability of measures their pseudo-differentiability is considered.
Traditional or classical mathematical analysis and functional analysis work mainly over the real and complex fields. But there are well-known many other infinite fields with non-trivial multiplicative norms since the end of the 19-th century and is called the non-Archimedean norm. Such fields and vector spaces with non-Archimedean norms are frequently called for short non-Archimedean fields and non-Archimedean normed spaces correspondingly. Therefore, mathematical analysis and functional analysis over non-Archimedean fields have developed already during a rather long period of time, but they remain substantially less elaborated in comparison with classical ones

Table of Contents:
Preface

Acknowledgement

Notation

1. Real-valued measures, pp.1
1.1 Introduction, pp. 1
1.2 Distributions and families of measures, pp. 3
1.3 Quasi-invariant measures, pp. 28
1.4 Pseudo-differentiable measures, pp. 57
1.5 Convergence of measures, pp. 67
1.6 Measures with particular properties, pp. 73
1.7 Comments, pp. 86

2. Non-Archimedean valued measures, pp. 91
2.1 Introduction, pp. 91
2.2 Non-Archimedean valued distributions, pp. 92
2.3 Quasi-invariant Ks-valued measures, pp. 109
2.4 Pseudo-differentiable Ks-valued measures, pp. 121
2.5 Convergence of Ks-valued measures, pp. 124
2.6 Measures with particular properties, pp. 128
2.7 Comments, pp. 140

3. Algebras of real measures on groups, pp. 143
3.1 Introduction, pp. 143
3.2 Algebras of measures and functions, pp. 143
3.3 Commentspp, pp. 152

4. Algebras of non-Archimedean measures on groups, pp. 153
4.1 Introduction, pp. 153
4.2 Algebras of measures and functions, pp. 153
4.3 Comments, pp. 162

A. Operators in Banach spaces, pp. 173

B. Non-Archimedean polyhedral expansions, pp. 179
B.1 Ultra-uniform spaces, pp. 179
B.2 Polyhedral expansions, pp. 184

References

Index

   Series:
      Mathematics Research Developments
   Binding: Hardcover
   Pub. Date: 2009
   Pages: 7 x 10, 198 pp
   ISBN: 978-1-60692-734-2
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
Customers who bought this product also purchased
Air Quality in the 21st Century
Air Quality in the 21st Century
Special Education in the 21st Century
Special Education in the 21st Century
Electric Vehicles: Technology, Research and Development
Electric Vehicles: Technology, Research and Development
Sovereign Wealth Funds
Sovereign Wealth Funds
Hazardous Waste: Classifications and Treatment Technologies
Hazardous Waste: Classifications and Treatment Technologies
The Chemistry and Mathematics of DNA Polyhedra
The Chemistry and Mathematics of DNA Polyhedra
Special Focus Titles
01.Essureal Journey: Concepts, Concerns and Considerations for Hysteroscopic Sterilization
02.Feminism: Past, Present and Future Perspectives
03.Accelerating Newborn through Toddler Learning Development
04.Neonatal Intensive Care Units (NICUs): Clinical and Patient Perspectives, Levels of Care and Emerging Challenges
05.Genetic Mistakes: Understanding and Living with Fatty Acid Oxidation Disorders
06.The Impact of Severe Mental Illness on Quality of Life: Challenges for Research and Practices
07.Vukhomba: An Analysis of the Puberty Rites of Passage for Girls among Vatsonga in Relation to Sexuality Education
08.The Challenges and Issues of Tourism Development in China
09.Reconstruction of the Tradition: Tourism and Authentication of Heritage in China
10.Nonlinearity: Problems, Solutions and Applications. Volume 1
11.Adaptive Management: Elements, Applications and Research
12.Natural Fibers: Properties, Mechanical Behavior, Functionalization and Applications

Nova Science Publishers
© Copyright 2004 - 2017

Quasi-Invariant and Pseudo-Differentiable Measures in Banach Spaces