000 02609nam a22003858i 4500
001 CR9780511543029
003 UkCbUP
005 20200124160237.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090505s2005||||enk o ||1 0|eng|d
020 _a9780511543029 (ebook)
020 _z9780521846226 (hardback)
020 _z9780521183840 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC20.7.D5
_bF45 2005
082 0 0 _a515/.7242
_222
100 1 _aFeller, M. N.
_q(Mikhail Naumovich),
_d1928-
_eauthor.
245 1 4 _aThe Lévy Laplacian /
_cM.N. Feller.
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (vi, 153 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v166
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aThe Lévy Laplacian -- Lévy-Laplace operators -- Symmetric Lévy-Laplace operator -- Harmonic functions of infinitely many variables -- Linear elliptic and parabolic equations with Lévy Laplacians -- Quasilinear and nonlinear elliptic equation with Lévy Laplacians -- Nonlinear parabolic equations with Lévy Laplacians.
520 _aThe Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this book was the first systematic treatment of the Lévy-Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Lévy Laplacian and the symmetrized Lévy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lévy Laplacians and to Lévy-Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang-Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.
650 0 _aLaplacian operator.
650 0 _aLévy processes.
650 0 _aHarmonic functions.
776 0 8 _iPrint version:
_z9780521846226
830 0 _aCambridge tracts in mathematics ;
_v166.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511543029
999 _c518151
_d518149