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Introduction to Hardy Spaces

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Abstract

Basic material from the theory of Hardy spaces is presented. The principle of positive energy representations is used as motivation to introduce these spaces.

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References

  • Baumgärtel, H. and Wollenberg, M. (1983). Mathematical Scattering Theory, Birkhäuser, Boston, MA.

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  • Raymond, E. A. C. and Paley, N. W. (1934). Fourier Transforms in the Complex Plane, AMS, New York.

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  • Yosida, K. (1971). Functional Analysis, 3rd edn. Die Grundlehren der mathematischen Wissenschaften, Bd. 123, Springer-Verlag, Berlin.

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Baumgärtel, H. Introduction to Hardy Spaces. International Journal of Theoretical Physics 42, 2213–2223 (2003). https://doi.org/10.1023/B:IJTP.0000005955.90256.e8

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  • DOI: https://doi.org/10.1023/B:IJTP.0000005955.90256.e8

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