000			04811nam a22005535i 4500
001			978-3-0348-0585-8
003			DE-He213
005			20140220082836.0
007			cr nn 008mamaa
008			130228s2013 sz | s |||| 0|eng d
020			_a9783034805858 _9978-3-0348-0585-8
024	7		_a10.1007/978-3-0348-0585-8 _2doi
050		4	_aQA331.7
072		7	_aPBKD _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.94 _223
100	1		_aMolahajloo, Shahla. _eeditor.
245	1	0	_aPseudo-Differential Operators, Generalized Functions and Asymptotics _h[electronic resource] / _cedited by Shahla Molahajloo, Stevan Pilipović, Joachim Toft, M. W. Wong.
264		1	_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2013.
300			_aVIII, 369 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aOperator Theory: Advances and Applications ; _v231
505	0		_aPreface -- Elliptic Theory for Operators Associated with Diffeomorphisms of Smooth Manifolds -- The Singular Functions of Branching Edge Asymptotics -- The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group -- Metaplectic Equivalence of the Hierarchical Twisted Laplacian -- The Heat Kernel and Green Function of a Sub-Laplacian on the Hierarchical Heisenberg Group -- Lp-Bounds for Pseudo-Differential Operators on the Torus -- Multiplication Properties in Gelfand-Shilov Pseudo-Differential Calculus -- Operator Invariance -- Initial Value Problems in the Time-Frequency Domain -- Polycaloric Distributions and the Generalized Iterated Heat Operator -- Smoothing Effect and Fredholm Property for First-Order Hyperbolic PDEs -- A Note on Wave-Front Sets of Roumieu Type Ultradistributions -- Ordinary Differential Equations in Algebras of Generalized Functions -- Asymptotically Almost Periodic Generalized Functions -- Wave Equations and Symmetric First-Order Systems in Case of Low Regularity -- Concept of Delta-Shock Type Solutions to Systems of Conservation Laws and the Rankine-Hugoniot Conditions -- Classes of Generalized Functions with Finite Type Regularities -- The Wave Equation with a Discontinuous Coefficient Depending on Time Only: Generalized Solutions and Propagation of Singularities -- Gerenalized Solutions of Abstract Stochastic Problems -- Nonhomogeneous First-Order Linear Malliavin Type Differential Equation.  .
520			_aThis volume consists of twenty peer-reviewed papers from the special sessions on pseudodifferential operators and on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples’ Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, L^p-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers is related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to its predecessors published in the same series.
650		0	_aMathematics.
650		0	_aTopological Groups.
650		0	_aGlobal analysis.
650		0	_aOperator theory.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aSeveral Complex Variables and Analytic Spaces.
650	2	4	_aPartial Differential Equations.
650	2	4	_aOperator Theory.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
650	2	4	_aTopological Groups, Lie Groups.
700	1		_aPilipović, Stevan. _eeditor.
700	1		_aToft, Joachim. _eeditor.
700	1		_aWong, M. W. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034805841
830		0	_aOperator Theory: Advances and Applications ; _v231
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0585-8
912			_aZDB-2-SMA
999			_c96310 _d96310