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Linear Differential Operators with Constant Coefficients by Victor P. Palamodov is a nonfiction available to read on EtoBox.
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Title Preface Table of Contents Introduction § 1. Exponential representation for an ordinary equation with one unknown function § 2. Exponential representation of the solutions of partial differential equations § 3. The exponential representation of solutions of arbitrary systems Part One: Analytic Methods I. Homological Tools § 1. Families of topological modules § 2. The fundamental homology theorem § 3. Operations on modules II. Division with Remainder in the Space of Power Series § 1. The space of power series § 2. The base sequence of matrices § 3. Stabilization of the base sequence § 4. p-decompositions III. Cohomologies of Analytic Functions of Bounded Growth § 1. The space of holomorphic functions § 2. The operator Dz in spaces of type I § 3. M-cohomologies § 4. The theorem on the triviality of M-cohomologies § 5. Cohomologies connected with P-matrices IV. The Fundamental Theorem § 1. Some properties of finite P-modules § 2. Local p-operators § 3. The fundamental inequality for the operator D § 4. Noetherian operators § 5. The fundamental theorem Part Two: Differential Equations with Constant Coefficients V. Linear Spaces and Distributions § 1. Limiting processes in families
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It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Victor P. Palamodov
- Publisher
- Springer
- Published
- 1970
- Language
- EN
- Category
- nonfiction
- Subjects
- Mathematics, Differential Equations, Stem
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