Functional analysis and transforms

A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book.

This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations.

The task of developing algorithms to solve problems has always been considered by mathematicians to be an especially interesting and im- portant one.

Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples.

The purpose of this book is to provide a careful and accessible account along modern lines of the subject wh ich the title deals, as weIl as to discuss prob- lems of current interest in the field.

Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems.

Positivity is one of the most basic mathematical concepts.

This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva- ture -1, which is traditionally called hyperbolic 3-space.

This volume is the first in the series devoted to the commutative harmonic analysis, a fundamental part of the contemporary mathematics.

In der Mathematik ist es immer als eine besonders interessante und wichtige Aufgabe angesehen worden, Algorithmen zur Lösung von Pro­ blemen zu entwickeln.

These notes are, for the most part, the result of a course I taught at the University of Arizona during the Spring of 1977.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

In these lecture notes which grew out of my lectures at the Honours classes of Honash University, I have attempted to develop queueing and storage problems from a unified viewpoint.

This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations.

Since the publication of Banach's treatise on the theory of linear operators, the literature on the theory of bases in topological vector spaces has grown enormously.

What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis- cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta- tion relations occurring there.

In classical analysis, there is a vast difference between the class of problems that may be handled by means of the methods of calculus and the class of problems requiring combinatorial techniques.

The present book is a collection of variations on a theme which can be summed up as follows: It is impossible for a non-zero function and its Fourier transform to be simultaneously very small.

This book is an elementary introduction to non-classical spectral theory.

Scientists and engineers have been involved in medical radiology from the very beginning.

The axioms of a complex Banach algebra were very happily chosen.

This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles.

Recent research has produced a large number of results concerning the Stone-Cech compactification or involving it in a central manner.

Die vorliegende Darstellung der klassischen Funktionentheorie ist aus Nachschriften, die wir seit geraumer Zeit von unseren Vorlesungen anfertigen ließen, entstanden.

Generalizations of the classical concept of a convexfunction have been proposed in various fields such aseconomics, management science, engineering, statistics andapplied sciences during the second half of this century.

The present work is an extended version of a manuscript of a course which the author taught at the University of Hamburg during summer 1969.

The aim of this book is to give a systematic study of questions con- cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems.

In recent years important progress has been made in the study of semi-groups of operators from the viewpoint of approximation theory.

This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory.

The theory of slice regular functions over quaternions is the central subject of the present volume.

Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain.

This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata.

The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively.

One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram.