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This book is an introduction to financial mathematics. The first part of the book studies a simple one-period model which serves as a building block f...Savoir plus
This monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on...Savoir plus
Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and i...Savoir plus
Most classes of operators that are not isomorphic embeddings are characterized by some kind of a "smallness" condition. Narrow operators are those ope...Savoir plus
Krichever and Novikov introduced certain classes of infinite dimensional Lie algebras to extend the Virasoro algebra and its related algebras to Riema...Savoir plus
This monograph summarizes and extends a number of results on the topology of trigonal curves in geometrically ruled surfaces. An emphasis is given to ...Savoir plus
The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential o...Savoir plus
Bernstein functions appear in various fields of mathematics, e.g. probability theory, potential theory, operator theory, functional analysis and compl...Savoir plus
The goal of this book is to cover the active developments of arithmetically Cohen-Macaulay and Ulrich bundles and related topics in the last 30 years,...Savoir plus
Affine algebraic geometry has progressed remarkably in the last half a century, and its central topics are affine spaces and affine space fibrations. ...Savoir plus
This book deals with analytic treatments of Markov processes. Symmetric Dirichlet forms and their associated Markov processes are important and powerf...Savoir plus
The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds...Savoir plus
This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and...Savoir plus
This text on measure theory with applications to partial differential equations covers general measure theory, Lebesgue spaces of real-valued and vect...Savoir plus
This monograph examines magnetization dynamics at elevated temperatures which can be described by the stochastic Landau-Lifshitz-Gilbert equation (SLL...Savoir plus
This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose impor...Savoir plus
There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This boo...Savoir plus
Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant...Savoir plus
This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory ...Savoir plus
This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded o...Savoir plus
This book is the first comprehensive treatment of Painlevé differential equations in the complex plane. Starting with a rigorous presentation for the ...Savoir plus
This book presents two natural generalizations of continuous mappings, namely usco and quasicontinuous mappings. The first class considers set-valued ...Savoir plus
Formal analysis is the study of formal power series, formal Laurent series, formal root series, and other formal series or formal functionals. This bo...Savoir plus
This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard ...Savoir plus