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Endomorphismes de l'espace des germes de fonctions holomorphes en un point et opérateurs différentiels d'ordre infini

Ryuichi Ishimura — 1988

Annales Polonici Mathematici

Existence locale de solutions holomorphes pour les équations différentielles d'ordre infini

Ryuichi Ishimura — 1985

Annales de l'institut Fourier

L’existence de solutions holomorphes locales d’équations aux dérivées partielles d’ordre infini à coefficients holomorphes de type spécial est étudiée.

Opérateurs pseudo-différentiels définis en un point

Ryuichi Ishimura — 2006

Annales Polonici Mathematici

We introduce the notion of pseudo-differential operators defined at a point and we establish a canonical one-to-one correspondence between such an operator and its symbol. We also prove the invertibility theorem for special type operators.

The existence and the continuation of holomorphic solutions for convolution equations in tube domains

Ryuichi Ishimura; Yasunori Okada — 1994

Bulletin de la Société Mathématique de France

The micro-support of the complex defined by a convolution operator in tube domains

Ryuichi Ishimura; Yasunori Okada — 1996

Banach Center Publications

Continuation of holomorphic solutions to convolution equations in complex domains

Ryuichi Ishimura; Jun-ichi Okada; Yasunori Okada — 2000

Annales Polonici Mathematici

For an analytic functional $S$ on $ℂ^{n}$ , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in $ℂ^{n}$ . We determine the directions in which every solution can be continued analytically, by using the characteristic set.

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Currently displaying 1 – 6 of 6

Endomorphismes de l'espace des germes de fonctions holomorphes en un point et opérateurs différentiels d'ordre infini

Existence locale de solutions holomorphes pour les équations différentielles d'ordre infini

Opérateurs pseudo-différentiels définis en un point

The existence and the continuation of holomorphic solutions for convolution equations in tube domains

The micro-support of the complex defined by a convolution operator in tube domains

Continuation of holomorphic solutions to convolution equations in complex domains