Fourier integral operators of infinite order on 𝒟 L 2 σ 𝒟 L 2 σ ' with an application to a certain Cauchy problem
Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990), pp. 71-82 
@article{RSMUP_1990__84__71_0,
     author = {Agliardi, Rossella},
     title = {Fourier integral operators of infinite order on $\mathcal {D}^{ \left\lbrace  \sigma \right\rbrace }_{L^2} \left(\mathcal {D}^{\left\lbrace  \sigma \right\rbrace ^{\prime }}_{L^2}\right)$ with an application to a certain {Cauchy} problem},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {71--82},
     year = {1990},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {84},
     zbl = {0737.35172},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_1990__84__71_0/}
}
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Agliardi, Rossella. Fourier integral operators of infinite order on $\mathcal {D}^{ \left\lbrace  \sigma \right\rbrace }_{L^2} \left(\mathcal {D}^{\left\lbrace  \sigma \right\rbrace ^{\prime }}_{L^2}\right)$ with an application to a certain Cauchy problem. Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990), pp. 71-82. https://www.numdam.org/item/RSMUP_1990__84__71_0/

1] R. Agliardi, Pseudo-differential operators of infinite order on D{σ}L2),(D{σ)'L2), and applications to the Cauchy problem for some elementary operators, to appear on Ann. di Mat. Pura e Appl. | Zbl

[2] L. Cattabriga, Some remarks on the well-posedness of the Cauchy problem in Gevrey spaces, in Partial Differential Equations and the Calculus of Variations: Essays in honour of Ennio De Giorgi. | Zbl

[3] L. Cattabriga - D. MARI, Parametrix of infinite order on Gevrey spaces to the Cauchy problem for hyperbolic operators with one constant multiple characteristics, Ricerche di Mat., Suppl., 36 (1987), pp. 127-147. | Zbl | MR

[4] L. Cattabriga - L. Zanghirati, Fourier integral operators of infinite order on Gevrey spaces-Applications to the Cauchy problem for certain hyperbolic operators, to appear on Journal of Math. of Kyoto Univ. | Zbl | MR

[5] P. Hartman, Ordinary Differential Equations, John Wiley, 1964. | Zbl | MR

[6] S. Hashimoto - T. Matsuzawa - Y. Morimoto, Operateurs pseudo-differentiels et classes de Gevrey, C.P.D.E., (1983), pp. 1277-1289. | Zbl | MR

[7] K. Kajitani, Fundamental solution of Cauchy problem for hyperbolic systems and Gevrey classes, Tsukuba J. Math., 1 (1977), pp. 163-193. | Zbl | MR

[8] K. Kajitani - S. Wakabayashi, Microhyperbolic operators in Gevrey classes, Publ. RIMS (to appear). | Zbl | MR

[9] H. Kumano-Go, Pseudo-differential Operators, M.I.T. Press, 1981. | Zbl

[10] S. Misohata, On the Cauchy problem for hyperbolic equations and related problems-micro-local energy methods, Proc. Taniguchi Intern. Sympos. on Hyperbolic Equations and Related Topics, Kataka, 1984, pp. 193-233. | Zbl | MR

[11] S. Mizohata, On the Cauchy Problem, Science Press, Bejing, 1985. | Zbl | MR

[12] Y. Morimoto - K. Taniguchi, Propagation of wave front sets of solutions of the Cauchy problem for hyperbolic equations in Gevrey classes, Osaka J. of Math., 23 (1986), pp. 765-814. | Zbl | MR

[13] L. Rodino - L. Zanghirati, Pseudo-differential operators with multiple characteristics and Gevrey singularities, C.P.D.E., 11 (1986), pp. 673-711. | Zbl | MR

[14] K. Taniguchi, Fourier integral operators in Gevrey classes on Rn and the fundamental solution for a hyperbolic operator, Publ. R.I.M.S., 20 (1984), pp. 491-542. | Zbl | MR

[15] K. Taniguchi, Pseudo-differential operators acting on ultradistributions, Math. Japonica, 30 (1985), pp. 719-741. | Zbl

[16] L. Zanghirati, Pseudo-differential operators of infinite order and Gevrey classes, Ann. Univ. Ferrara - sez. VII - Sc. Mat. (1985), pp. 197-219. | Zbl