Right inverses for partial differential operators on Fourier hyperfunctions

Michael Langenbruch. "Right inverses for partial differential operators on Fourier hyperfunctions." Studia Mathematica 183.3 (2007): 273-299. <http://eudml.org/doc/285074>.

@article{MichaelLangenbruch2007,
abstract = {We characterize the partial differential operators P(D) admitting a continuous linear right inverse in the space of Fourier hyperfunctions by means of a dual (Ω̅)-type estimate valid for the bounded holomorphic functions on the characteristic variety $V_\{P\}$ near $ℝ^\{d\}$. The estimate can be transferred to plurisubharmonic functions and is equivalent to a uniform (local) Phragmén-Lindelöf-type condition.},
author = {Michael Langenbruch},
journal = {Studia Mathematica},
keywords = {partial differential operator; right inverses; Fourier hyperfunctions; Phragmén-Lindelöf conditions; ()-type conditions; Ehrenpreis Palamodov fundamental principle},
language = {eng},
number = {3},
pages = {273-299},
title = {Right inverses for partial differential operators on Fourier hyperfunctions},
url = {http://eudml.org/doc/285074},
volume = {183},
year = {2007},
}

TY - JOUR
AU - Michael Langenbruch
TI - Right inverses for partial differential operators on Fourier hyperfunctions
JO - Studia Mathematica
PY - 2007
VL - 183
IS - 3
SP - 273
EP - 299
AB - We characterize the partial differential operators P(D) admitting a continuous linear right inverse in the space of Fourier hyperfunctions by means of a dual (Ω̅)-type estimate valid for the bounded holomorphic functions on the characteristic variety $V_{P}$ near $ℝ^{d}$. The estimate can be transferred to plurisubharmonic functions and is equivalent to a uniform (local) Phragmén-Lindelöf-type condition.
LA - eng
KW - partial differential operator; right inverses; Fourier hyperfunctions; Phragmén-Lindelöf conditions; ()-type conditions; Ehrenpreis Palamodov fundamental principle
UR - http://eudml.org/doc/285074
ER -