Albanese, A.A., Jornet, D., Oliaro, A.: Quasianalytic wave front sets for solutions of linear partial differential operators. Integral Equ. Oper. Theory 66(2), 153–181 (2010)
Albanese, A.A., Jornet, D., Oliaro, A.: Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes. Math. Nachr. 285(4), 411–425 (2012)
Annovazzi, E.: Esempi notevoli di funzioni gevrey ed ultradistribuzioni. Master’s thesis, University of Torino (1999/2000) Italian
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Albanese, A.A., Jornet, D., Oliaro, A.: Quasianalytic wave front sets for solutions of linear partial differential operators. Integral Equ. Oper. Theory 66(2), 153–181 (2010)
Albanese, A.A., Jornet, D., Oliaro, A.: Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes. Math. Nachr. 285(4), 411–425 (2012)
Annovazzi, E.: Esempi notevoli di funzioni gevrey ed ultradistribuzioni. Master’s thesis, University of Torino (1999/2000) Italian
Asensio, V.: Quantizations and global hypoellipticity for pseudodifferential operators of infinite order in classes of ultradifferentiable functions (2022). arXiv:2104.09198. Accepted for publication in Mediterr. J. Math
Asensio, V.: Global pseudodifferential operators in spaces of ultradifferentiable functions [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/174847
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(4), 3477–3512 (2019)
Björck, G.: Linear partial differential operators and generalized distributions. Ark. Mat. 6, 351–407 (1966)
Boiti, C., Jornet, D.: A simple proof of Kotake–Narasimhan theorem in some classes of ultradifferentiable functions. J. Pseudo-Differ. Oper. Appl. 8(2), 297–317 (2017)
Boiti, C., Jornet, D.: A characterization of the wave front set defined by the iterates of an operator with constant coefficients. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 111(3), 891–919 (2017)
Boiti, C., Jornet, D., Juan-Huguet, J.: Wave front sets with respect to the iterates of an operator with constant coefficients. Abstr. Appl. Anal. 2014, 438716 (2014)
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(4), 108348 (2020)
Boiti, C., Jornet, D., Oliaro, A., Schindl, G.: Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis. Collect. Math. 72(2), 423–442 (2021)
Boiti, C., Jornet, D., Oliaro, A., Schindl, G.: Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting. Banach J. Math. Anal. 15(14), 1–39 (2021)
Braun, R.W., Meise, R., Taylor, B.A.: Ultradifferentiable functions and Fourier analysis. Results Math. 17(3–4), 206–237 (1990)
Cappiello, M., Schulz, R.: Microlocal analysis of quasianalytic Gelfand–Shilov type ultradistributions. Complex Var. Elliptic Equ. 61(4), 538–561 (2016)
Cordero, E., Gröchenig, K.: Time-frequency analysis of localization operators. J. Funct. Anal. 205(1), 107–131 (2003)
Debrouwere, A., Neyt, L., Vindas, J.: Characterization of nuclearity for Beurling–Björck spaces. Proc. Am. Math. Soc. 148(12), 5171–5180 (2020)
Debrouwere, A., Neyt, L., Vindas, J.: The nuclearity of Gelfand–Shilov spaces and kernel theorems. Collect. Math. 72(1), 203–227 (2021)
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(2), 561–576 (2004). Special issue dedicated to John Horváth
Fernández, C., Galbis, A., Jornet, D.: Pseudodifferential operators of Beurling type and the wave front set. J. Math. Anal. Appl. 340(2), 1153–1170 (2008)
Franken, U.: Weight functions for classes of ultradifferentiable functions. RM 25(1–2), 50–53 (1994)
Gröchenig, K.: Foundations of Time-frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser Boston Inc, Boston (2001)
Gröchenig, K., Zimmermann, G.: Spaces of test functions via the STFT. J. Funct. Spaces Appl. 2(1), 25–53 (2004)
Hörmander, L.: Fourier integral operators. I. Acta Math. 127(1–2), 79–183 (1971)
Hörmander, L.: Quadratic Hyperbolic Operators, Microlocal Analysis and Applications (Montecatini Terme, 1989). Lecture Notes in Mathematics, vol. 1495, pp. 118–160. Springer, Berlin (1991)
Mascarello, M., Rodino, L.: Partial Differential Equations with Multiple Characteristics, Mathematical Topics, vol. 13. Akademie, Berlin (1997)
Nakamura, S.: Propagation of the homogeneous wave front set for Schrödinger equations. Duke Math. J. 126(2), 349–367 (2005)
Nicola, F., Rodino, L.: Global Pseudo-Differential Calculus on Euclidean Spaces, Pseudo-Differential Operators. Theory and Applications, vol. 4. Birkhäuser, 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)
Pilipović, S., Prangoski, B.: Anti-Wick and Weyl quantization on ultradistribution spaces. J. Math. Pures Appl. (9) 103(2), 472–503 (2015)
Pilipović, S., Prangoski, B., Vindas., J.: Infinite order $$\psi $$ DOs: Composition with entire functions, new Shubin-Sobolev spaces, and index theorem. Anal. Math. Phys. https://doi.org/10.1007/s13324-021-00545-w
Prangoski, B.: Pseudodifferential operators of infinite order in spaces of tempered ultradistributions. J. Pseudo-Differ. Oper. Appl. 4(4), 495–549 (2013)
Rodino, L.: Linear Partial Differential Operators in Gevrey Spaces. World Scientific Publishing Co., River Edge (1993)
Rodino, L., Wahlberg, P.: The Gabor wave front set. Monatsh. Math. 173(4), 625–655 (2014)
Schulz, R., Wahlberg, P.: Equality of the homogeneous and the Gabor wave front set. Commun. Partial Differ. Equ. 42(5), 703–730 (2017)
Shubin, M.A.: Pseudodifferential Operators and Spectral Theory, 2nd edn. Springer, Berlin (2001)
Sjöstrand, J.: Singularités analytiques microlocales, Astérisque, 95, Astérisque, vol. 95, pp. 1–166. Soc. Math. France, Paris (1982)
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