| 1. | It is possible to generalize spectral theory to such algebras.
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| 2. | Spectral theory also underlies certain aspects of the Fourier transform of a function.
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| 3. | He is considered one of the founders of the modern Multiparameter Spectral Theory.
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| 4. | Unital Banach algebras over the complex field provide a general setting to develop spectral theory.
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| 5. | He wrote five papers directly related to spectral theory of operators which Hilbert was developing.
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| 6. | There have been three main ways to formulate spectral theory, all of which retain their usefulness.
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| 7. | Some applications have required the development of " p "-adic functional analysis and spectral theory.
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| 8. | Answering such questions is the realm of spectral theory and requires considerable background in functional analysis and matrix algebra.
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| 9. | The role of spectral theory arises in establishing the nature and existence of the basis and the reciprocal basis.
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| 10. | The spectral theory of compact operators then follows, and it is due to Frigyes Riesz ( 1918 ).
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