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},
     year = {1969},
     publisher = {Institut des Hautes Etudes Scientifiques},
     volume = {36},
     mrnumber = {622032},
     zbl = {0182.18401},
     language = {en},
     url = {https://www.numdam.org/item/PMIHES_1969__36__59_0/}
}
TY  - JOUR
AU  - Falb, Peter L.
TI  - On a theorem of Bochner
JO  - Publications Mathématiques de l'IHÉS
PY  - 1969
SP  - 59
EP  - 67
VL  - 36
PB  - Institut des Hautes Etudes Scientifiques
UR  - https://www.numdam.org/item/PMIHES_1969__36__59_0/
LA  - en
ID  - PMIHES_1969__36__59_0
ER  - 
%0 Journal Article
%A Falb, Peter L.
%T On a theorem of Bochner
%J Publications Mathématiques de l'IHÉS
%D 1969
%P 59-67
%V 36
%I Institut des Hautes Etudes Scientifiques
%U https://www.numdam.org/item/PMIHES_1969__36__59_0/
%G en
%F PMIHES_1969__36__59_0
Falb, Peter L. On a theorem of Bochner. Publications Mathématiques de l'IHÉS, Tome 36 (1969), pp. 59-67. https://www.numdam.org/item/PMIHES_1969__36__59_0/

[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