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010   $a1-282-65579-5
010   $a9786612655791
010   $a3-642-02141-7
024 7 $a10.1007/978-3-642-02141-1
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100   $a20210218d2009      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aPotential analysis of stable processes and its extensions /$fKrzysztof Bogdan, 6 others, volume editors Piotr Graczyk, Andrzej Stos
205   $a1st ed. 2009.
210  1$aBerlin, Germany :$cSpringer,$d[2009]
210  4$d©2009
215   $a1 online resource (200 p.)
225 1 $aLecture notes in mathematics ;$v1980
300   $aDescription based upon print version of record.
311   $a3-642-02140-9 
320   $aIncludes bibliographical references (pages [177]-183) and index.
327   $aBoundary Potential Theory for Schr#x00F6;dinger Operators Based on Fractional Laplacian -- Nontangential Convergence for #x03B1;-harmonic Functions -- Eigenvalues and Eigenfunctions for Stable Processes -- Potential Theory of Subordinate Brownian Motion.
330   $aStable Lévy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics. This book is about the potential theory of stable stochastic processes. It also deals with related topics, such as the subordinate Brownian motions (including the relativistic process) and Feynman?Kac semigroups generated by certain Schroedinger operators. The authors focus on classes of stable and related processes that contain the Brownian motion as a special case. This is the first book devoted to the probabilistic potential theory of stable stochastic processes, and, from the analytical point of view, of the fractional Laplacian. The introduction is accessible to non-specialists and provides a general presentation of the fundamental objects of the theory. Besides recent and deep scientific results the book also provides a didactic approach to its topic, as all chapters have been tested on a wide audience, including young mathematicians at a CNRS/HARP Workshop, Angers 2006. The reader will gain insight into the modern theory of stable and related processes and their potential analysis with a theoretical motivation for the study of their fine properties.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v1980.
606   $aFunctional analysis
606   $aPotential theory (Mathematics)
606   $aAnalyse fonctionnelle
615  0$aFunctional analysis.
615  0$aPotential theory (Mathematics)
615  6$aAnalyse fonctionnelle.
676   $a510
686   $a60J45$a60G52$a60J50$a60J75$a31B25$a31C05$a31C35$a31C25$2msc
686   $aMAT 315f$2stub
686   $aMAT 605f$2stub
686   $aMAT 607f$2stub
686   $aSI 850$2rvk
700   $aBogdan$b Krzysztof$0323549
702   $aStos$b Andrzej
702   $aGraczyk$b P$g(Piotr),
712 02$aSpringerLink (Online service)
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483950203321
996   $aPotential analysis of stable processes and its extensions$91440578
997   $aUNINA