Convolution type functional equations on topological Abelian groups

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Presents a unified treatment for a branch of the theory of functional equations, the main idea being to use the fundamental results about spectral synthesis on discrete abelian groups. Acidic paper. Annotation copyrighted by Book News, Inc., Portland, OR.

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Title Statements

Full title :Convolution type functional equations on topological Abelian groups / László Székelyhidi.

Summary

Edition Statements

Publication Date:©1991.

Publication Statements

Publisher(s):World Scientific
Place of Publication:Singapore
Language:eng
Publication Date:©1991.

The Physical Object

Description:1 online resource (xi, 157 pages)

Edition Identifiers

ISBN:9789814360241, 9814360244
oclc:ocn841809907
LC Classification:QA387
Dewey Decimal:512.2

CONTENTS -- PREFACE -- PRELIMINARIES THE BASIC PROBLEMS OF SPECTRAL ANALYSIS AND SPECTRAL SYNTHESIS -- CHAPTER 1 POLYNOMIALS AND EXPONENTIAL POLYNOMIALS -- 1. Multi-additive functions on semigroups -- 2. Polynomials on semigroups -- 3. Regularity properties of polynomials -- 4. Exponential polynomials on semigroups -- 5. Regularity properties of exponential polynomials -- 6. Exponential polynomials on special abelian semigroups -- CHAPTER 2 FOURIER-TRANSFORMATION AND MEAN PERIODIC FUNCTIONS -- 7. The Fourier-transform of exponential polynomials

""8. Mean periodic functions on abelian groups""""CHAPTER 3 APPLICATIONS FOR FUNCTIONAL EQUATIONS""; ""9. Functional equations for polynomials""; ""10. The Levi-CivitÃ¡ functional equation""; ""11. D'Alembert-type functional equations""; ""12. Addition and subtraction theorems""; ""13. Difference equations on semigroups""; ""14. Mean-value type functional equations""; ""15. Applications for differential equations""; ""16. Noncommutative applications""; ""APPENDIX""; ""Index""; ""REFERENCES""

Subjects

Abelsche Gruppe Compact Abelian groups Équations de fonctions Équations fonctionnelles Functional equations Funktionalgleichung Groupes abéliens compacts MATHEMATICS -- Group Theory Topologische Gruppe