Asensio V., Boiti C., Jornet D., Oliaro, A.: Global Wave Front Sets in Ultradifferentiable Classes. Results Math. 77, Paper No. 65, 40 (2022)
Asensio, V., Jornet, D.: Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113 (2019), no. 4, 3477–3512
Björck, G.: Linear partial differential operators and generalized distributions. Ark. Mat. 6, 351–407 (1966)
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Asensio V., Boiti C., Jornet D., Oliaro, A.: Global Wave Front Sets in Ultradifferentiable Classes. Results Math. 77, Paper No. 65, 40 (2022)
Asensio, V., Jornet, D.: Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113 (2019), no. 4, 3477–3512
Björck, G.: Linear partial differential operators and generalized distributions. Ark. Mat. 6, 351–407 (1966)
Boggiatto, P., Buzano, E., Rodino, L.: Global hypoellipticity and spectral theory, Mathematical Research, vol. 92. Akademie Verlag, Berlin (1996)
Boiti, C., Jornet, D., Oliaro, A.: Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms. J. Math. Anal. Appl. 446(1), 920–944 (2017)
Boiti, C., Jornet, D., Oliaro, A.: The Gabor wave front set in spaces of ultradifferentiable functions. Monatsh. Math. 188(2), 199–246 (2019)
Boiti, C., Jornet, D., Oliaro, A.: Real Paley-Wiener theorems in spaces of ultradifferentiable functions, J. Funct. Anal. 278 (2020), no. 4, 108348, 45
Bonet, J., Meise, R., Melikhov, S.N.: A comparison of two different ways to define classes of ultradifferentiable functions. Bull. Belg. Math. Soc. Simon Stevin 14(3), 425–444 (2007)
Braun, R.W.: An extension of Komatsu’s second structure theorem for ultradistributions, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 40 (1993), no. 2, 411–417
Braun, R.W., Meise, R., Taylor, B.A.: Ultradifferentiable functions and Fourier analysis. Results Math. 17(3–4), 206–237 (1990)
Cappiello, M.: Pseudodifferential parametrices of infinite order for SG-hyperbolic problems. Rend. Sem. Mat. Univ. Politec. Torino 61(4), 411–441 (2003)
Cappiello, M.: Fourier integral operators of infinite order and applications to SG-hyperbolic equations. Tsukuba J. Math. 28(2), 311–361 (2004)
Cappiello, M., Pilipović, S., Prangoski, B.: Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions. J. Pseudo-Differ. Oper. Appl. 5(4), 491–506 (2014)
Cappiello, M., Toft, J.: Pseudo-differential operators in a Gelfand-Shilov setting. Math. Nachr. 290(5–6), 738–755 (2017)
Fernández, C., Galbis, A.: Superposition in classes of ultradifferentiable functions. Publ. Res. Inst. Math. Sci. 42(2), 399–419 (2006)
Fernández, C., Galbis, A., Jornet, D.: $$\omega $$-hypoelliptic differential operators of constant strength, J. Math. Anal. Appl. 297 (2004), no. 2, 561–576, Special issue dedicated to John Horváth
Fernández, C., Galbis, A., Jornet, D.: Pseudodifferential operators on non-quasianalytic classes of Beurling type. Studia Math. 167(2), 99–131 (2005)
Gröchenig, K., Zimmermann, G.: Spaces of test functions via the STFT. J. Funct. Spaces Appl. 2(1), 25–53 (2004)
Heinrich, T., Meise, R.: A support theorem for quasianalytic functionals. Math. Nachr. 280(4), 364–387 (2007)
Komatsu, H.: Ultradistributions. I. Structure theorems and a characterization, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 20 (1973), 25–105
Langenbruch, M.: Continuation of Gevrey regularity for solutions of partial differential operators, Functional analysis (Trier, 1994), de Gruyter, Berlin, 1996, pp. 249–280
Mele, C., Oliaro, A.: Regularity of global solutions of partial differential equations in non isotropic ultradifferentiable spaces via time-frequency methods. J. Differ. Equ. 286, 821–855 (2021)
Nicola, F., Rodino, L.: Global pseudo-differential calculus on Euclidean spaces, Pseudo-Differential Operators. Theory and Applications, vol. 4, Birkhäuser Verlag, Basel, (2010)
Petzsche, H.J., Vogt, D.: Almost analytic extension of ultradifferentiable functions and the boundary values of holomorphic functions. Math. Ann. 267(1), 17–35 (1984)
Prangoski, B.: Pseudodifferential operators of infinite order in spaces of tempered ultradistributions. J. Pseudo-Differ. Oper. Appl. 4(4), 495–549 (2013)
Shubin, M.A.: Pseudodifferential operators and spectral theory, 2nd edn. Springer-Verlag, Berlin (2001)
Zanghirati, L.: Pseudodifferential operators of infinite order and Gevrey classes, Ann. Univ. Ferrara Sez. VII (N.S.) 31 (1985), 197–219
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