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This volume, like its predecessors, is based on the special session
on pseudo-differential operators, one of the many special sessions
at the 11th ISAAC Congress, held at Linnaeus University in Sweden
on August 14-18, 2017. It includes research papers presented at the
session and invited papers by experts in fields that involve
pseudo-differential operators. The first four chapters focus on the
functional analysis of pseudo-differential operators on a spectrum
of settings from Z to Rn to compact groups. Chapters 5 and 6
discuss operators on Lie groups and manifolds with edge, while the
following two chapters cover topics related to probabilities. The
final chapters then address topics in differential equations.
This volume consists of twenty peer-reviewed papers from the
special session on pseudodifferential operators and the special
session 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,
Lp-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
are 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 volumes 155, 164, 172, 189, 205 and 213 published in
the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and
2011.
This volume consists of twenty peer-reviewed papers from the
special session on pseudodifferential operators and the special
session 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,
Lp-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
are 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 volumes 155, 164, 172, 189, 205 and 213 published in
the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and
2011.
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