Rupert Lasser - Böcker

This work addresses all of the major topics in Fourier series, emphasizing the concept of approximate identities and presenting applications, particularly in time series analysis. It stresses throughout the idea of homogenous Banach spaces and provides recent results. Techniques from functional analysis and measure theory are utilized.;College and university bookstores may order five or more copies at a special student price, available on request from Marcel Dekker, Inc.

??Dieses Buch ist entstanden aus Vorlesungen an der Technischen Universität München und behandelt im Wesentlichen die Themen, die üblicherweise Gegenstand der Vorlesungen "Analysis" der ersten beiden Semester im Bachelor-Studium der Mathematik und Physik sind.

Untersucht die Aussagekraft epidemiologischer Studien zum Thema "Wirkung vonUmweltfaktoren auf die menschliche Ge- sundheit". Dargestellt wird, welche Zusammenh{nge zwischen Umweltkontaminanten und Gesundheit der Bev|lkerung auf der Basis epidemiologischer Studien gesichert, hinreichend ge- st}zt, m|glich oder nicht belegt erscheinen. Au~erdem wurde herausgearbeitet, wo die Chancen, aber auch Problemzonen epidemiologischer Arbeit zu umweltmedizinischen Fragestel- lungen liegen.

The book aims at giving a monographic presentation of the abstract harmonic analysis of hypergroups, while combining it with applied topics of spectral analysis, approximation by orthogonal expansions and stochastic sequences. Hypergroups are locally compact Hausdorff spaces equipped with a convolution, an involution and a unit element. Related algebraic structures had already been studied by Frobenius around 1900. Their axiomatic characterisation in harmonic analysis was later developed in the 1970s. Hypergoups naturally emerge in seemingly different application areas as time series analysis, probability theory and theoretical physics.The book presents harmonic analysis on commutative and polynomial hypergroups as well as weakly stationary random fields and sequences thereon. For polynomial hypergroups also difference equations and stationary sequences are considered. At greater extent than in the existing literature, the book compiles a rather comprehensive list of hypergroups, in particular of polynomial hypergroups. With an eye on readers at advanced undergraduate and graduate level, the proofs are generally worked out in careful detail. The bibliography is extensive.