دانلود کتاب Pseudo-differential operators, generalized functions and asymptotics

This 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. Read more... Elliptic theory for operators associated with diffeomorphisms of smooth manifolds / A. Savin amd B. Sternin -- The singular functions of branching edge asymptotics / B.-W. Schulze and L. Tepoyan -- The heat kernel and green function of the sub-Laplacian on the Heisenberg group / X. Duan -- Metaplectic equivalence of the hierarchical twisted Laplacian / Shahla Molahajloo, L. Rodino and M.W. Wong -- The heat kernel and green function of a sub-Laplacian on the hierarchical Heisenberg group / S. Molahajloo and M.W. Wong -- L [superscript] p-bounds for pseudo-differential operators on the torus / J. Delgado -- Multiplication properties in Gelfand-Shilov pseudo-differential calculus / J. Toft -- Operator invariance / L. Cohen -- Initial value problems in the time-frequency domain / L. Galleani -- Polycaloric distributions and the generalized heat operator / V. Catană -- Smoothing effect and Fredholm property for rirst-order hyperbolic PDEs / I. Kmit -- A note on wave-front sets of Roumieu type ultradistributions / K. Johansson, S. Pilipović, N. Teofanov and J. Toft -- Ordinary differential equations in algebras of generalized functions / E. Erlacher and M. -- Asymptotically almost periodic generalized functions / C. Bouzar and M. Taha Khalladi -- Wave equations and symmetric first-order systems in case of low regularity / C. Hanel, G. Hörmann, C. Spreitzer and R. Steinbauer -- Concept of delta-shock type solutions to systems of conservation laws and the Rankine-Hugoniot conditions / V.M. Shelkovich -- Classes of generalized functions with finite type regularities / S. Pilipović, D. Scarpalézos and J. Vindas -- The wave equation with a discontinuous coefficient depending on time only: generalized solutions and propagation of singularities / H.Geguchi, G. Hörmann and M. Oberguggenberger -- Generalized solutions of abstract stochastic problems / I.V. Melnikova and M.A. Alshanskiy -- Nonhomogeneous first-order linear Malliavin type differential equation / T. Levajković and D. Seles̆i