Global Hypoellipticity in the Schwartz Space

Global hypoellipticity for a class of overdetermined systems of pseudo-differential operators on the torus

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-021-01090-w ◽

2021 ◽

Author(s):

Fernando de Ávila Silva ◽

Cleber de Medeira

Keyword(s):

Differential Operators ◽

Overdetermined Systems ◽

Pseudo Differential Operators ◽

Global Hypoellipticity

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Corrigendum to “Automatic continuity and amenability in the non-commutative Schwartz space” [J. Math. Anal. Appl. 432 (2) (2015) 954–964]

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.10.049 ◽

2016 ◽

Vol 435 (1) ◽

pp. 1015-1016 ◽

Cited By ~ 1

Author(s):

Krzysztof Piszczek

Keyword(s):

Schwartz Space ◽

Automatic Continuity

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A simple example of a universal Schwartz space

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1973-0312192-7 ◽

1973 ◽

Vol 37 (1) ◽

pp. 185-188 ◽

Cited By ~ 9

Author(s):

Daniel J. Randtke

Keyword(s):

Schwartz Space

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Pseudo-Differential Operators in Algebras of Generalized Functions and Global Hypoellipticity

Acta Applicandae Mathematicae ◽

10.1023/b:acap.0000013814.89972.3c ◽

2004 ◽

Vol 80 (2) ◽

pp. 123-174 ◽

Cited By ~ 16

Author(s):

Claudia Garetto

Keyword(s):

Differential Operators ◽

Generalized Functions ◽

Pseudo Differential Operators ◽

Algebras Of Generalized Functions ◽

Global Hypoellipticity

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THE NON-COMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE

Glasgow Mathematical Journal ◽

10.1017/s0017089516000264 ◽

2016 ◽

Vol 59 (2) ◽

pp. 437-443 ◽

Cited By ~ 2

Author(s):

KRZYSZTOF PISZCZEK

Keyword(s):

Open Problem ◽

Schwartz Space

AbstractWe show in a straightforward way that the non-commutative Schwartz space is weakly amenable. At the end, we leave an open problem.

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Representation of Synthesizable Differentiation-Invariant Subspaces of the Schwartz Space

Doklady Mathematics ◽

10.1134/s1064562421030029 ◽

2021 ◽

Vol 103 (3) ◽

pp. 99-102

Author(s):

N. F. Abuzyarova

Keyword(s):

Invariant Subspaces ◽

Schwartz Space

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Propagation of regularity and global hypoellipticity

10.1307/mmj/1039029977 ◽

2002 ◽

Vol 50 (3) ◽

pp. 471-482 ◽

Cited By ~ 9

Author(s):

A. Alexandrou Himonas ◽

Gerson Pentronilho

Keyword(s):

Global Hypoellipticity

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Global hypoellipticity and global solvability in Gevrey classes on the n-dimensional torus

Journal of Differential Equations ◽

10.1016/j.jde.2004.01.005 ◽

2004 ◽

Vol 199 (2) ◽

pp. 256-268 ◽

Cited By ~ 10

Author(s):

A.A. Albanese ◽

L. Zanghirati

Keyword(s):

Global Solvability ◽

Dimensional Torus ◽

Gevrey Classes ◽

Global Hypoellipticity

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The Fourier transform of the Schwartz space on a semisimple Lie group

Hiroshima Mathematical Journal ◽

10.32917/hmj/1206137157 ◽

1974 ◽

Vol 4 (1) ◽

pp. 133-209 ◽

Cited By ~ 5

Author(s):

Masaaki Eguchi

Keyword(s):

Fourier Transform ◽

Lie Group ◽

Schwartz Space ◽

Semisimple Lie Group ◽

The Fourier Transform

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On condition of representing a subspace in Schwartz space invariant with respect to differentiation as direct sum of its residual and exponential components

Ufimskii Matematicheskii Zhurnal ◽

10.13108/2021-13-4-3 ◽

2021 ◽

Vol 13 (4) ◽

pp. 3-7

Author(s):

Natal'ya Fairbakhovna Abuzyarova

Keyword(s):

Schwartz Space ◽

Direct Sum

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