The embeddability and structure of all locally compact one-to-one continuous metric (equivalently, Hausdorff) images of the real line are studied. The structure of such spaces is utilized to obtain, for example, necessary and sufficient conditions that they be embeddable in the …
This book studies a new theory of metric geometry on metric measure spaces, originally developed by M. Gromov in his book 2Metric Structures for Riemannian and Non-Riemannian Spaces3 and based on the idea of the concentration of measure phenomenon due to Lévy and Milman. A centr…
Introduction to signal processing on L-groups -- Estimation of signal parameters in sample spaces with L-group properties -- Signal filtering algorithms in spaces with L-group properties -- Signal detection, classification, and resolution in spaces with L-group properties -- Spe…
"Exploring the interrelations between generalized metric spaces, lattice-ordered groups, and order statistics, the book contains a new algebraic approach to Signal Processing Theory. It describes mathematical concepts and results important in the development, analysis, and optim…
"Exploring the interrelations between generalized metric spaces, lattice-ordered groups, and order statistics, the book contains a new algebraic approach to Signal Processing Theory. It describes mathematical concepts and results important in the development, analysis, and optim…
Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. Geared toward advanced undergradu…
This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of exa…
This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction of distance in the Euclidean spac…
The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ℜn. An additional aim is to sketch selected applications in which these m…
