Functional Analysis Methods for Reliability Models by Geni Gupur
The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Then, after a brief history of reliability theory, methods that study the well-posedness, the asymptotic behaviors of solutions and reliability indices for varied reliability models are presented.-
Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms
-
The Localization Problem in Index Theory of Elliptic Operators
-
Symplectic Methods in Harmonic Analysis and in Mathematical Physics
-
Solvable Algebras of Pseudodifferential Operators
-
The Weyl Operator and its Generalization
-
Quantization and Arithmetic
-
Pseudodifferential Methods in Number Theory
-
Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
-
Discrete Fourier Analysis
-
Pricing Derivatives Under Levy Models
-
Pseudodifferential Operators with Automorphic Symbols
-
Pseudo-Differential Operators and Symmetries
From the reviews:
“The main goal of this monograph is to introduce the reader to methods of linear functional analysis useful for studying contemporary reliability models… The book will be definitely of interest for specialists in queuing theory, in mathematical modelling of complex manufacturing systems and for all interested in applications of semigroups methods to integro-differential equations. The volume can be read by anyone with a basic knowledge of probability theory and linear functional analysis.” (Mikhail Yu. Kokurin, Zentralblatt MATH, Vol. 1223, 2011)
“This book focuses on mathematical methodologies for reliability theory, with emphasis on theory and methods of functional analysis for stochastic models in reliability. … this monograph provides a detailed study of some Markov processes describing an integrated manufacturing system. The mathematical analysis is based on useful methods of functional analysis, concerning pseudo-differential operators and infinite-dimensional tridiagonal matrices.” (Antonio Di Crescenzo, Mathematical Reviews, Issue 2012 h)
| SKU | Unavailable |
| ISBN 13 | 9783034801003 |
| ISBN 10 | 3034801009 |
| Title | Functional Analysis Methods for Reliability Models |
| Author | Geni Gupur |
| Series | Pseudo-Differential Operators |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Basel |
| Year published | 2011-06-22 |
| Number of pages | 277 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |