Geodesic
Operators on leaves of the foliation generated by locally free action of $\mathbb R$
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 55-64

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For a manifold $M$ with foliation $F$, we construct an inclusion $$ \phi:C_0(M)|_L\to C_0(L)\times\prod_\mathbb ZC([0,1]) $$ where $L$ is a leaf of $F$ and $C_0(X)$ is the space of continuous functions with compact support. Using $\phi$, we study properties of operators on the spaces of functions on leaves of the foliation $F$. We also find properties of spectra of Schroedinger-type operators on the leaves of $F$. 
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     author = {P. N. Ivanshin},
     title = {Operators on leaves of the foliation generated by locally free action of $\mathbb R$},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {147},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a6/}
}
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P. N. Ivanshin. Operators on leaves of the foliation generated by locally free action of $\mathbb R$. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 55-64. http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a6/