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Symmetric integrals and trigonometric series

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Cross G. E., Thomson B. S.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 1. Introduction............................................................................................5 2. Some preliminary definitions..................................................................6 3. Mařík's symmetric difference..................................................................9 4. Basic definitions...................................................................................11 5. Properties of the second symmetric variation for real functions...........15 6. Measure properties..............................................................................19 7. The integral.........................................................................................23 8. Additivity..............................................................................................26 9. Relations to the James P²-integral.......................................................27 10. Relations to the Burkill SCP-integral...................................................29 11. Mařík's integration by parts formula....................................................36 12. Burkill's integration by parts formula...................................................39 13. An application to trigonometric series.................................................43 14. Some further applications...................................................................47 References...............................................................................................48

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1 Cross G. E.

1 Thomson B. S.

1 1992

Wyniki wyszukiwania

Symmetric integrals and trigonometric series