On a theorem of Bochner
Publications Mathématiques de l'IHÉS, Tome 36 (1969), pp. 59-67. 
@article{PMIHES_1969__36__59_0,
     author = {Falb, Peter L.},
     title = {On a theorem of {Bochner}},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {59--67},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {36},
     year = {1969},
     mrnumber = {622032},
     zbl = {0182.18401},
     language = {en},
     url = {http://archive.numdam.org/item/PMIHES_1969__36__59_0/}
}
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Falb, Peter L. On a theorem of Bochner. Publications Mathématiques de l'IHÉS, Tome 36 (1969), pp. 59-67. http://archive.numdam.org/item/PMIHES_1969__36__59_0/

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[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. | MR | Zbl

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