Measure and Integration Publications 1997-2011 /

• Κύριος συγγραφέας: König, Heinz (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Θέματα: Mathematics.; Measure theory.; Measure and Integration.

This volume presents a collection of twenty-five of Heinz König’s recent and most influential works. Connecting to his book of 1997 “Measure and Integration”, the author has developed a consistent new version of measure theory over the past years. For the first time, his publications are collected h...

Πίνακας περιεχομένων:

• Image measures and the so-called image measure catastrophe
• The product theory for inner premeasures
• Measure and Integration: Mutual generation of outer and inner premeasures
• Measure and Integration: Integral representations of isotone functionals
• Measure and Integration: Comparison of old and new procedures
• What are signed contents and measures?- Upper envelopes of inner premeasures
• On the inner Daniell-Stone and Riesz representation theorems
• Sublinear functionals and conical measures
• Measure and Integration: An attempt at unified systematization
• New facts around the Choquet integral
• The (sub/super)additivity assertion of Choquet
• Projective limits via inner premeasures and the trueWiener measure
• Stochastic processes in terms of inner premeasures
• New versions of the Radon-Nikodým theorem
• The Lebesgue decomposition theorem for arbitrary contents
• The new maximal measures for stochastic processes
• Stochastic processes on the basis of new measure theory
• New versions of the Daniell-Stone-Riesz representation theorem
• Measure and Integral: New foundations after one hundred years
• Fubini-Tonelli theorems on the basis of inner and outer premeasures
• Measure and Integration: Characterization of the new maximal contents and measures
• Notes on the projective limit theorem of Kolmogorov
• Measure and Integration: The basic extension theorems
• Measure Theory: Transplantation theorems for inner premeasures.  .