| 11. | :: : This would almost be the class of Henstock-Kurzweil Integrable functions.
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| 12. | This transform continues to enjoy many of the properties of the Fourier transform of integrable functions.
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| 13. | For any integrable function and all set
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| 14. | In effect, this makes it possible to speak of Fourier transforms of quadratically integrable functions.
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| 15. | To afford a unitary representation of " G " on square-integrable functions.
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| 16. | The Hardy Littlewood maximal inequality states that for an integrable function " f ",
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| 17. | These results remain true for the Henstock Kurzweil integral, which allows a larger class of integrable functions.
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| 18. | Linearity : If and are Lebesgue integrable functions and and are real numbers, then is Lebesgue integrable and
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| 19. | This space is isomorphic to the space of Lebesgue integrable functions modulo the subspace of functions with integral zero.
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| 20. | And found close connections between cube tilings and the spectral theory of square-integrable functions on the cube.
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