Analytic Pseudo-Differential Operators and their Applications

Inhaltsverzeichnis

• I. PD-Operators with Complex Arguments.
• 1. PD-Operators with Constant Analytic Symbols.
• 2. Fourier Transformation of Arbitrary Analytic Functions. Complex Fourier Method.
• 3. PD-Equations whose Symbols are Formal Series.
• II. The Cauchy Problem in the Complex Domain.
• 4. Cauchy-Kovalevskaya Theory in Spaces of Analytic Functions with Pole-type Singularities.
• 5. Exponential theory of the Cauchy problem.
• 6. PD-Operators with Variable Analytic Symbols.
• III. PD-Operators with Real Arguments.
• 7. Spaces of Test Functions and Distributions.
• 8. Analytic PD-operators with Real Arguments. Applications.
• References.
• Author Index.
• Index of Basic Formulae.