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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Semigroups of Operators -Theory and Applications - Bedlewo, Poland, October 2013 (Hardcover, 2015 ed.)
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Semigroups of Operators -Theory and Applications - Bedlewo, Poland, October 2013 (Hardcover, 2015 ed.)
Series: Springer Proceedings in Mathematics & Statistics, 113
Expected to ship within 10 - 15 working days
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Many results, both from semi group theory itself and from the
applied sciences, are phrased in discipline-specific languages and
hence are hardly known to a broader community. This volume contains
a selection of lectures presented at a conference that was
organised as a forum for all mathematicians using semi group theory
to learn what is happening outside their own field of research. The
collection will help to establish a number of new links between
various sub-disciplines of semigroup theory, stochastic processes,
differential equations and the applied fields. The theory of
semigroups of operators is a well-developed branch of functional
analysis. Its foundations were laid at the beginning of the 20th
century, while the fundamental generation theorem of Hille and
Yosida dates back to the forties. The theory was, from the very
beginning, designed as a universal language for partial
differential equations and stochastic processes, but at the same
time it started to live as an independent branch of operator
theory. Nowadays, it still has the same distinctive flavour: it
develops rapidly by posing new 'internal' questions and in
answering them, discovering new methods that can be used in
applications. On the other hand, it is influenced by questions from
PDEs and stochastic processes as well as from applied sciences such
as mathematical biology and optimal control, and thus it
continually gathers a new momentum. Researchers and postgraduate
students working in operator theory, partial differential
equations, probability and stochastic processes, analytical methods
in biology and other natural sciences, optimization and optimal
control will find this volume useful.
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