On a theorem of Bochner
Publications Mathématiques de l'IHÉS, Volume 36 (1969), pp. 59-67
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DOI: 10.1007/BF02684597
@article{PMIHES_1969__36__59_0,
     author = {Peter L. Falb},
     title = {On a theorem of {Bochner}},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {59--67},
     year = {1969},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {36},
     doi = {10.1007/BF02684597},
     mrnumber = {622032},
     zbl = {0182.18401},
     language = {en},
     url = {https://pmihes.centre-mersenne.org/articles/10.1007/BF02684597/}
}
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Peter L. Falb. On a theorem of Bochner. Publications Mathématiques de l'IHÉS, Volume 36 (1969), pp. 59-67. doi: 10.1007/BF02684597

[1] S. Bochner, Monotone Funktionen, Stieltjessche Integrale, und harmonische Analyse, Math. Ann., 108 (1933), 378-410. | Zbl | JFM

[2] W. Rudin, Fourier Analysis on Groups, Interscience, New York, 1962. | Zbl | MR

[3] P. Falb and M. I. Freedman, A generalized transform theory for causal operators, to appear, in SIAM J. on Control. | Zbl

[4] P. Falb and U. Haussmann, Plancherel's theorem and the stability and control of parabolic systems, to appear, in SIAM J. on Control.

[5] N. Dunford and J. Schwartz, Linear Operators, Part I: General Theory, Interscience, New York, 1958. | Zbl | MR

[6] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien, Paris, Gauthier-Villars, 1957. | Zbl

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