LEADER 00000cam a2200625Ia 4500
001 ocn181368349
003 OCoLC
005 20160527040842.4
006 m o d
007 cr cnu---unuuu
008 071116s2006 nju ob u001 0 eng d
019 815750034
020 9789812774606|q(electronic book)
020 9812774602|q(electronic book)
020 128191956X
020 9781281919564
035 (OCoLC)181368349|z(OCoLC)815750034
040 N$T|beng|epn|cN$T|dYDXCP|dOCLCQ|dIDEBK|dOCLCQ|dOCLCF
|dNLGGC|dOCLCQ|dSTF|dOCLCQ
049 RIDW
050 4 QA329.2|b.G84 2006eb
072 7 MAT|x037000|2bisacsh
072 7 JFFC|2bicssc
082 04 515/.7246|222
090 QA329.2|b.G84 2006eb
100 1 Gulisashvili, Archil.|0https://id.loc.gov/authorities/
names/nb2006026283
245 10 Non-autonomous Kato classes and Feynman-Kac propagators /
|cArchil Gulisashvili, Jan A. van Casteren.
264 1 Hackensack, NJ :|bWorld Scientific,|c[2006]
264 4 |c©2006
300 1 online resource (xiii, 344 pages)
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
340 |gpolychrome|2rdacc
347 text file|2rdaft
504 Includes bibliographical references (pages 331-340) and
index.
505 0 Preface -- 1. Transition functions and Markov processes.
1.1. Introduction. 1.2. Markov property. 1.3. Transition
functions and backward transition functions. 1.4. Markov
processes associated with transition functions. 1.5. Space
-time processes. 1.6. Classes of stochastic processes.
1.7. Completions of [symbol]-algebras. 1.8. Path
properties of stochastic processes: separability and
progressive measurability. 1.9. Path properties of
stochastic processes: one-sided continuity and continuity.
1.10. Reciprocal transition functions and reciprocal
processes. 1.11. Path properties of reciprocal processes.
1.12. Examples of transition functions and Markov
processes. 1.13. Notes and comments -- 2. Propagators:
general theory. 2.1. Propagators and backward propagators
on Banach spaces. 2.2. Free propagators and free backward
propagators. 2.3. Generators of propagators and
Kolmogorov's forward and backward equations. 2.4. Howland
semigroups. 2.5. Feller-Dynkin propagators and the
continuity properties of Markov processes. 2.6. Stopping
times and the strong Markov property. 2.7. Strong Markov
property with respect to families of measures. 2.8. Feller
-Dynkin propagators and completions of [symbol]-algebras.
2.9. Feller-Dynkin propagators and standard processes.
2.10. Hitting times and standard processes. 2.11. Notes
and comments -- 3. Non-autonomous Kato classes of
measures. 3.1. Additive and multiplicative functionals.
3.2. Potentials of time-dependent measures and non-
autonomous Kato classes. 3.3. Backward transition
probability functions and non-autonomous Kato classes of
functions and measures. 3.4. Weighted non-autonomous Kato
classes. 3.5. Examples of functions and measures in non-
autonomous Kato classes. 3.6. Transition probability
densities and fundamental solutions to parabolic equations
in non-divergence form. 3.7. Transition probability
densities and fundamental solutions to parabolic equations
in divergence form. 3.8. Diffusion processes and
stochastic differential equations. 3.9. Additive
functionals associated with time-dependent measures. 3.10.
Exponential estimates for additive functionals. 3.11.
Probabilistic description of non-autonomous Kato classes.
3.12. Notes and comments -- 4. Feynman-Kac propagators.
4.1. Schrödinger semigroups with Kato class potentials.
4.2. Feynman-Kac propagators. 4.3. The behavior of Feynman
-Kac propagators in L[symbol]-spaces. 4.4. Feller, Feller-
Dynkin, and BUC-property of Feynman-Kac propagators. 4.5.
Integral kernels of Feynman-Kac propagators. 4.6. Feynman-
Kac propagators and Howland semigroups. 4.7. Duhamel's
formula for Feynman-Kac propagators. 4.8. Feynman-Kac
propagators and viscosity solutions. 4.9. Notes and
comments -- 5. Some theorems of analysis and probability
theory. 5.1. Monotone class theorems. 5.2. Kolmogorov's
extension theorem. 5.3. Uniform integrability. 5.4. Radon-
Nikodym theorem. 5.5. Vitali-Hahn-Saks theorem. 5.6.
Doob's inequalities.
520 This book aims to present the overall existing tsunami
hazard in the Caribbean Sea region, a region which is
typically only associated with hurricanes. It initially
presents an overview of all of the existing tsunami-
causing factors found in the region: earthquakes, sub-
aerial and submarine landslides, and submarine explosions.
This is followed by field evidence of recent and pre-
historic tsunami events, which gives credibility to all of
this effort. The next section is a description of the
tsunami hazard mitigation efforts being carried out
locally and in collaboration with national and
international programs. The final part is dedicated to the
presentation of related recent research results.
588 0 Print version record.
590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic
Collection - North America
650 0 Linear operators.|0https://id.loc.gov/authorities/subjects
/sh85077178
650 0 Banach spaces.|0https://id.loc.gov/authorities/subjects/
sh85011441
650 0 Operator theory.|0https://id.loc.gov/authorities/subjects/
sh85095029
650 7 Linear operators.|2fast|0https://id.worldcat.org/fast/
999087
650 7 Banach spaces.|2fast|0https://id.worldcat.org/fast/826389
650 7 Operator theory.|2fast|0https://id.worldcat.org/fast/
1046419
655 4 Electronic books.
700 1 Casteren, J. A. van.|0https://id.loc.gov/authorities/names
/n84191713
776 08 |iPrint version:|aGulisashvili, Archil.|tNon-autonomous
Kato classes and Feynman-Kac propagators.|dHackensack, NJ
: World Scientific, ©2006|z9812565574|z9789812565570
|w(DLC) 2006285514|w(OCoLC)72762821
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
search.ebscohost.com/login.aspx?direct=true&scope=site&
db=nlebk&AN=210622|zOnline eBook. Access restricted to
current Rider University students, faculty, and staff.
856 42 |3Instructions for reading/downloading this eBook|uhttp://
guides.rider.edu/ebooks/ebsco
901 MARCIVE 20231220
948 |d20160615|cEBSCO|tebscoebooksacademic|lridw
994 92|bRID
