Pseudodifferential equations and a generalized translation operator in non-gaussian infinite-dimensional analysis

• Date: 1999
• Main Authors: Kachanovskii, N. A., Качановский, Н. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4732
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Pseudodifferential equations of the form $v(D_{\chi})y = f$ (where $v$ is a function holomorphic at zero and $D_{\chi}$ is a pseudodifferential operator) are studied on spaces of test functions of non-Gaussian infinite-dimensional analysis. The results obtained are applied to construct a generalize...