# Solution operators for convolution equations on the germs of analytic functions on compact convex sets in ${\u2102}^{N}$

Studia Mathematica (1995)

- Volume: 117, Issue: 1, page 79-99
- ISSN: 0039-3223

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topMelikhov, S., and Momm, Siegfried. "Solution operators for convolution equations on the germs of analytic functions on compact convex sets in $ℂ^N$." Studia Mathematica 117.1 (1995): 79-99. <http://eudml.org/doc/216243>.

@article{Melikhov1995,

abstract = {$G ⊂ ℂ^N$ is compact and convex it is known for a long time that the nonzero constant coefficients linear partial differential operators (of finite or infinite order) are surjective on the space of all analytic functions on G. We consider the question whether solutions of the inhomogeneous equation can be given in terms of a continuous linear operator. For instance we characterize those sets G for which this is always the case.},

author = {Melikhov, S., Momm, Siegfried},

journal = {Studia Mathematica},

keywords = {constant coefficients linear partial differential operators; space of all analytic functions; solutions of the inhomogeneous equation},

language = {eng},

number = {1},

pages = {79-99},

title = {Solution operators for convolution equations on the germs of analytic functions on compact convex sets in $ℂ^N$},

url = {http://eudml.org/doc/216243},

volume = {117},

year = {1995},

}

TY - JOUR

AU - Melikhov, S.

AU - Momm, Siegfried

TI - Solution operators for convolution equations on the germs of analytic functions on compact convex sets in $ℂ^N$

JO - Studia Mathematica

PY - 1995

VL - 117

IS - 1

SP - 79

EP - 99

AB - $G ⊂ ℂ^N$ is compact and convex it is known for a long time that the nonzero constant coefficients linear partial differential operators (of finite or infinite order) are surjective on the space of all analytic functions on G. We consider the question whether solutions of the inhomogeneous equation can be given in terms of a continuous linear operator. For instance we characterize those sets G for which this is always the case.

LA - eng

KW - constant coefficients linear partial differential operators; space of all analytic functions; solutions of the inhomogeneous equation

UR - http://eudml.org/doc/216243

ER -

## References

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