Strong boundary values, analytic functionals, and nonlinear Paley-Wiener theory

DOI10.1090/memo/0725zbMath0988.46032OpenAlexW2048862150MaRDI QIDQ2750964

Edgar Lee Stout, Jean-Pierre Rosay

Publication date: 21 October 2001

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1108cb2f55d007064f4952b82b9b8e74f4ef2f30

zbMATH Keywords

partial differential equationsboundary valueshyperfunctionsanalytic functionalsMartineaus theorynonlinear Paley-Wiener theoryreal analytic boundariesreflection principle of Schwarz

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hyperfunctions, analytic functionals (46F15) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Stein spaces (32E10) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Boundary behavior of holomorphic functions of several complex variables (32A40) Hyperfunctions (32A45) Boundary value problems on manifolds (58J32) Boundary value problems for linear higher-order PDEs (35G15) Distributions and ultradistributions as boundary values of analytic functions (46F20) Holomorphic functions of several complex variables (32A10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Global boundary behavior of holomorphic functions of several complex variables (32E35)

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