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Heinz Bauer (1928-2002) was one of the prominent figures in Convex
Analysis and Potential Theory in the second half of the 20th
century. The Bauer minimum principle and Bauer's work on Silov's
boundary and the Dirichlet problem are milestones in convex
analysis. Axiomatic potential theory owes him what is known by now
as Bauer harmonic spaces. These Selecta collect more than twenty of
Bauer's research papers including his seminal papers in Convex
Analysis and Potential Theory. Above his research contributions
Bauer is best known for his art of writing survey articles. Five of
his surveys on different topics are reprinted in this volume. Among
them is the well-known article Approximation and Abstract Boundary,
for which he was awarded with the Chauvenet Price by the American
Mathematical Association in 1980.
"This book is a jewel- it explains important, useful and deep
topics in Algebraic Topology that you won't find elsewhere,
carefully and in detail." Prof. Gunter M. Ziegler, TU Berlin
The series is devoted to the publication of monographs and
high-level textbooks in mathematics, mathematical methods and their
applications. Apart from covering important areas of current
interest, a major aim is to make topics of an interdisciplinary
nature accessible to the non-specialist. The works in this series
are addressed to advanced students and researchers in mathematics
and theoretical physics. In addition, it can serve as a guide for
lectures and seminars on a graduate level. The series de Gruyter
Studies in Mathematics was founded ca. 35 years ago by the late
Professor Heinz Bauer and Professor Peter Gabriel with the aim to
establish a series of monographs and textbooks of high standard,
written by scholars with an international reputation presenting
current fields of research in pure and applied mathematics. While
the editorial board of the Studies has changed with the years, the
aspirations of the Studies are unchanged. In times of rapid growth
of mathematical knowledge carefully written monographs and
textbooks written by experts are needed more than ever, not least
to pave the way for the next generation of mathematicians. In this
sense the editorial board and the publisher of the Studies are
devoted to continue the Studies as a service to the mathematical
community. Please submit any book proposals to Niels Jacob. Titles
in planning include Flavia Smarazzo and Alberto Tesei, Measure
Theory: Radon Measures, Young Measures, and Applications to
Parabolic Problems (2019) Elena Cordero and Luigi Rodino,
Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert,
Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational
Models for Fractional Calculus, second edition (2020) Mariusz
Lemanczyk, Ergodic Theory: Spectral Theory, Joinings, and Their
Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic
Complex Manifolds (2021) Miroslava Antic, Joeri Van der Veken, and
Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds
of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu,
Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference
Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi
Miyanishi, Affine Space Fibrations (2022)
The series is devoted to the publication of monographs and
high-level textbooks in mathematics, mathematical methods and their
applications. Apart from covering important areas of current
interest, a major aim is to make topics of an interdisciplinary
nature accessible to the non-specialist. The works in this series
are addressed to advanced students and researchers in mathematics
and theoretical physics. In addition, it can serve as a guide for
lectures and seminars on a graduate level. The series de Gruyter
Studies in Mathematics was founded ca. 35 years ago by the late
Professor Heinz Bauer and Professor Peter Gabriel with the aim to
establish a series of monographs and textbooks of high standard,
written by scholars with an international reputation presenting
current fields of research in pure and applied mathematics. While
the editorial board of the Studies has changed with the years, the
aspirations of the Studies are unchanged. In times of rapid growth
of mathematical knowledge carefully written monographs and
textbooks written by experts are needed more than ever, not least
to pave the way for the next generation of mathematicians. In this
sense the editorial board and the publisher of the Studies are
devoted to continue the Studies as a service to the mathematical
community. Please submit any book proposals to Niels Jacob. Titles
in planning include Flavia Smarazzo and Alberto Tesei, Measure
Theory: Radon Measures, Young Measures, and Applications to
Parabolic Problems (2019) Elena Cordero and Luigi Rodino,
Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert,
Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational
Models for Fractional Calculus, second edition (2020) Mariusz
Lemanczyk, Ergodic Theory: Spectral Theory, Joinings, and Their
Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic
Complex Manifolds (2021) Miroslava Antic, Joeri Van der Veken, and
Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds
of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu,
Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference
Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi
Miyanishi, Affine Space Fibrations (2022)
In June 1986 a symposium was held in Giessen on Modern Trends in
Virology. It was initiated by the Deutsche Forschungsgemeinschaft,
which had supported virus research for the past 18 years in the
Sonderforschungsbereich 47 at the University of Giessen. The
purpose of the meeting was to serve as a forum for the members of
the Sonderforschungsbereich to discuss scientific topics of mutual
interest with about 200 virologists that had come from various
parts of Europe, the United States, and Japan. It was not by chance
that the symposium took place shortly after the 60th birthday of
Rudolf Rott, who had founded the Sonderforschungsbereich in 1968
and has been its speaker ever since. Without his vision and his
never resting energy Giessen would not have gained the position in
the field of virology that it has today. This Festschrift, which
contains the contributions presented at the plenary sessions of the
symposium, is therefore dedicated to Rudolf Rott. HEINZ BAuER
HANS-DIETER KLENK CHRISTOPH SCHOLTISSEK Table of Contents A Genetic
Approach to Determining Glycoprotein Topology: The Influenza B
Virus NB Glycoprotein has an Extracellular NHz-Terminal Domain
Containing two N-linked Carbohydrate Chains R. A. LAMB and M. A.
WILLIAMS . . . . . . . . . . . . . . . . . . . . . . . . . 1
Paramyxovirus Metabolisms Associated with the Cytoskeletal
Framework Y. NAGAI, T. ToYODA, and M. HAMAGUCHI . . . . . . . . . .
. . . . . . . . . 15 Correlation of High Evolutionary Rate of
Influenza A Viruses in Man with High Mutation Rate Measured in
Tissue Culture: A Hypothesis P. PALESE . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . .
_ .... _---------- ------------ Wahrend der letzten zehn Jahre
konnte: man eine Neubelebung des Interesses fur die
Potentialtheorie beobachten. Zwei Ursachen lassen dies verstandlich
erscheinen: Einmal die innere Weiterentwicklung der
Potentialtheorie. welche nach der Erfassung moeglichst
umfangreicher Klassen von Differentialgleichungen und Kernen
drangt, zum anderen die Entwicklung der Theorie der Markoffschen
Prozesse und der vor allem durch die bahnbrechende Arbeit von
G.A.HUNT erwirkte Bruckenschlag hinuber zur Potentialtheorie. Die
genannte innere Entwicklung der Potentialtheorie hat, aufbauend auf
Ideen von TAUTZ I} 9], I} 0], DOOB [!9] und BRELOT, zu einer
Axiomatisierung der Theorie der harmonischen Funktionen ge- fuhrt
mit dem Ziel eines gleichzeitigen Erfassens bereits vorliegen- der
Resultate uber die Potentialtheorie RieTrlannscher Flachen und
Greenscher Raume und einer Ausdehnung der Potentialtheorie der
Laplace-Gleichung auf bislang unerforschte Klassen elliptischer
Differentialgleichungen. A: m bekanntesten und a: m weitesten
vollendet ist in dieser Richtung die in OS] dargestellte Theorie
von BRELOT. Wichtige Erganzungen verdankt man der These 1}1] von
MadaTrle, HERVE - Wahrend die Brelotsche Theorie ausschliesslich
elliptische Gleichungen betrifft, bemuhten sich DOOB o]. KAMKE {1
und Verf. um die Einbeziehung auch parabolischer partieller Diffe-
rentialgleichungen zweiter Ordnung.
This is an EXACT reproduction of a book published before 1923. This
IS NOT an OCR'd book with strange characters, introduced
typographical errors, and jumbled words. This book may have
occasional imperfections such as missing or blurred pages, poor
pictures, errant marks, etc. that were either part of the original
artifact, or were introduced by the scanning process. We believe
this work is culturally important, and despite the imperfections,
have elected to bring it back into print as part of our continuing
commitment to the preservation of printed works worldwide. We
appreciate your understanding of the imperfections in the
preservation process, and hope you enjoy this valuable book.
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