Treatise on analysis
Treatise on Analysis, Volume 10-VII provides information pertinent to the fundamental aspects of linear functional equations. This book discusses the problems dealing with functional equations of scalar or of vectors. Comprised of one chapter, this volume begins with a description and study of the primary concepts and tools that have prompted the progress in the study of linear partial differential equations. This text then explains the importance of the integral operators. The reader is also i…
Read More ↓Title Statements
- Full title :Treatise on analysis. / J. Dieudonné ; translated by Laura Fainsilber.
Summary
Treatise on Analysis, Volume 10-VII provides information pertinent to the fundamental aspects of linear functional equations. This book discusses the problems dealing with functional equations of scalar or of vectors. Comprised of one chapter, this volume begins with a description and study of the primary concepts and tools that have prompted the progress in the study of linear partial differential equations. This text then explains the importance of the integral operators. The reader is also introduced to integral operators that operate not only on vector function, but also on sections of vec.
Read More ↓Edition Statements
- Publication Date:©1988
Publication Statements
- Publisher(s):Academic Press, Inc
- Place of Publication:San Diego, California
- Language:eng
- Publication Date:©1988
The Physical Object
- Description:1 online resource (387 pages)
Edition Identifiers
- ISBN:9781483144962, 1483144968
- oclc:ocn903964978
- LC Classification:QA300
- Dewey Decimal:515
Table of Contents
Front Cover; Treatise on Analysis; Copyright Page; Table of Contents; NOTATION; CHAPTER XXIII. LINEAR FUNCTIONAL EQUATIONS; PART I: PSEUDODIFFERENTIAL OPERATORS; 1. INTEGRAL OPERATORS; 2. INTEGRAL OPERATORS OF PROPER TYPE; 3. INTEGRAL OPERATORS ON VECTOR BUNDLES; 4. DENSITY BUNDLE AND KERNEL SECTIONS; 5. BOUNDED SECTIONS; 6. VOLTERRA OPERATORS; 7. CARLEMAN OPERATORS; 8. GENERALIZED EIGENFUNCTIONS; 9. KERNEL DISTRIBUTIONS; 10. REGULAR KERNEL DISTRIBUTIONS; 11. SMOOTHING OPERATORS AND COMPOSITION OF OPERATORS; 12. WAVE FRONT OF A DISTRIBUTION; 13. CONVOLUTION EQUATIONS; 14. ELEMENTARY SOLUTIONS.
15. PROBLEMS OF EXISTENCE AND UNIQUENESS FOR SYSTEMS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS16. OPERATOR SYMBOLS; 17. OSCILLATING INTEGRALS; 18. LAX-MASLOV OPERATORS; 19. PSEUDO-DIFFERENTIAL OPERATORS; 20. SYMBOL OF A PSEUDODIFFERENTIAL OPERATOR OF PROPER TYPE; 21. MATRIX PSEUDODIFFERENTIAL OPERATORS; 22. PARAMETRIX OF ELLIPTICAL OPERATORS ON AN OPEN SUBSET OF Rn; 23. PSEUDODIFFERENTIAL OPERATORS IN Hso(X) SPACES; 24. CLASSICAL DIRICHLET PROBLEM AND COARSE DIRICHLET PROBLEMS; 25. THE GREEN OPERATOR; 26. PSEUDODIFFERENTIAL OPERATORS ON A MANIFOLD.
27. ADJOINT OF A PSEUDODIFFERENTIAL OPERAT…
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