Schwartz’s Theorem in spectral synthesis of continuous functions on the real is generalized to the Euclidean motion group. The rightsided analogue of Schwartz’s Theorem for the motion group is reduced to the study of some invariant subspaces of continuous functions on .
Le théorème de Schwartz en synthèse spectrale des fonctions continues sur l’axe réel est généralisé au groupe euclidien du plan. L’analogie unilatérale du théorème de Schwartz pour le groupe euclidien du plan est réduite à l’étude de certains espaces invariants de fonctions continues sur .
@article{AIF_1980__30_1_91_0, author = {Weit, Yitzhak}, title = {On {Schwartz's} theorem for the motion group}, journal = {Annales de l'Institut Fourier}, pages = {91--107}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {30}, number = {1}, year = {1980}, doi = {10.5802/aif.776}, zbl = {0407.43008}, mrnumber = {81h:43007}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.776/} }
TY - JOUR AU - Weit, Yitzhak TI - On Schwartz's theorem for the motion group JO - Annales de l'Institut Fourier PY - 1980 SP - 91 EP - 107 VL - 30 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.776/ DO - 10.5802/aif.776 LA - en ID - AIF_1980__30_1_91_0 ER -
Weit, Yitzhak. On Schwartz's theorem for the motion group. Annales de l'Institut Fourier, Volume 30 (1980) no. 1, pp. 91-107. doi : 10.5802/aif.776. https://aif.centre-mersenne.org/articles/10.5802/aif.776/
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