Welcome to our book review site go-pdf.online!
You may have to Search all our reviewed books and magazines, click the sign up button below to create a free account.
Applications of Measure Theory to Statistics
This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach – naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates – helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics.
Functional Analysis and the Feynman Operator Calculus
This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.
Mathematical Reviews
None
Cinderella's Stick
This book explains the main problems related to digital preservation using examples based on a modern version of the well-known Cinderella fairy tale. Digital preservation is the endeavor to protect digital material against loss, corruption, hardware/software technology changes, and changes in the knowledge of the community. Τhe structure of the book is modular, with each chapter consisting of two parts: the episode and the technical background. The episodes narrate the story in chronological order, exactly as in a fairy tale. In addition to the story itself, each episode is related to one or more digital preservation problems, which are discussed in the technical background section of the ...
On Generators of Shy Sets in Polish Groups
This book explores a number of new constructions of generators of shy sets (Mankiewicz generator, Preiss-Tiser generator, Baker generator, Kharazishvili generator, ordinary and standard Lebesgue measures, etc), which naturally generate classes of null sets playing an important role in studying the properties of a function space. It includes several interesting infinite-dimensional generalisations of some classical results (Cramer rule, Lioville theorem, etc) in terms of generators of shy sets.
Invariant and Quasiinvariant Measures in Infinite-dimensional Topological Vector Spaces
This monograph deals with certain aspects of the general theory of systems. The author develops the ergodic theory, which is the theory of quaslinvariant and invariant measures in such infinite-dimensional vector spaces which appear as models of various (physical, economic, genetic, linguistic, social, etc.) processes. The methods of ergodic theory are successful as applied to study properties of such systems. A foundation for ergodic theory was stimulated by the necessity of a consideration of statistic mechanic problems and was directly connected with the works of G. Birkhoff, Kryloff and Bogoliuboff, E. Hoph and other famous mathematicians.
Selected Topics of Invariant Measures in Polish Groups
This book explores a number of new applications of invariant quasi-finite diffused Borel measures in Polish groups for a solution of various problems stated by famous mathematicians (for example, Carmichael, Erdos, Fremlin, Darji and so on). By using natural Borel embeddings of an infinite-dimensional function space into the standard topological vector space of all real-valued sequences, (endowed with the Tychonoff topology) a new approach for the construction of different translation-invariant quasi-finite diffused Borel measures with suitable properties and for their applications in a solution of various partial differential equations in an entire vector space is proposed.
The Joys of Haar Measure
From the earliest days of measure theory, invariant measures have held the interests of geometers and analysts alike, with the Haar measure playing an especially delightful role. The aim of this book is to present invariant measures on topological groups, progressing from special cases to the more general. Presenting existence proofs in special cases, such as compact metrizable groups, highlights how the added assumptions give insight into just what the Haar measure is like; tools from different aspects of analysis and/or combinatorics demonstrate the diverse views afforded the subject. After presenting the compact case, applications indicate how these tools can find use. The generalisation ...
