Hörmander Class of Pseudo-Differential Operators on Compact Lie Groups and Global Hypoellipticity

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-014-9322-9 ◽

2014 ◽

Vol 20 (3) ◽

pp. 476-499 ◽

Author(s):

Michael Ruzhansky ◽

Ville Turunen ◽

Jens Wirth

Keyword(s):

Differential Operators ◽

Compact Lie Groups ◽

Pseudo Differential Operators ◽

Global Hypoellipticity

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On the index of pseudo-differential operators on compact Lie groups

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-018-0261-0 ◽

2018 ◽

Vol 10 (2) ◽

pp. 285-305

Author(s):

Duván Cardona

Keyword(s):

Differential Operators ◽

Compact Lie Groups ◽

Pseudo Differential Operators

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$$L^{p}$$ L p -boundedness, compactness of pseudo-differential operators on compact Lie groups

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-017-0186-z ◽

2017 ◽

Vol 8 (1) ◽

pp. 1-11 ◽

Author(s):

M. B. Ghaemi ◽

M. Jamalpour Birgani

Keyword(s):

Differential Operators ◽

Compact Lie Groups ◽

Pseudo Differential Operators

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A study on the adjoint of pseudo-differential operators on compact lie groups

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2017.1376188 ◽

2017 ◽

Vol 63 (10) ◽

pp. 1408-1420

Author(s):

M. B. Ghaemi ◽

E. Nabizadeh ◽

M. Jamalpour ◽

M. K. Kalleji

Keyword(s):

Differential Operators ◽

Compact Lie Groups ◽

Pseudo Differential Operators

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Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-016-9512-8 ◽

2016 ◽

Vol 23 (5) ◽

pp. 1238-1262 ◽

Author(s):

Duván Cardona

Keyword(s):

Besov Spaces ◽

Differential Operators ◽

Compact Lie Groups ◽

Pseudo Differential Operators

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Besov continuity of pseudo-differential operators on compact Lie groups revisited

Comptes Rendus Mathematique ◽

10.1016/j.crma.2017.02.012 ◽

2017 ◽

Vol 355 (5) ◽

pp. 533-537 ◽

Author(s):

Duván Cardona

Keyword(s):

Differential Operators ◽

Compact Lie Groups ◽

Pseudo Differential Operators

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Pseudo-differential Operators on Compact Lie Groups

Pseudo-Differential Operators and Symmetries ◽

10.1007/978-3-7643-8514-9_15 ◽

2010 ◽

pp. 529-593

Author(s):

Michael Ruzhansky ◽

Ville Turunen

Keyword(s):

Differential Operators ◽

Compact Lie Groups ◽

Pseudo Differential Operators

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Pseudo-differential operators and Markov semigroups on compact Lie groups

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.05.067 ◽

2011 ◽

Vol 384 (2) ◽

pp. 331-348 ◽

Author(s):

David Applebaum

Keyword(s):

Differential Operators ◽

Markov Semigroups ◽

Compact Lie Groups ◽

Pseudo Differential Operators

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Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces

International Mathematics Research Notices ◽

10.1093/imrn/rns122 ◽

2012 ◽

Vol 2013 (11) ◽

pp. 2439-2496 ◽

Author(s):

Michael Ruzhansky ◽

Ville Turunen

Keyword(s):

Differential Operators ◽

Homogeneous Spaces ◽

Compact Lie Groups ◽

Pseudo Differential Operators

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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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$$L^p$$-Bounds for Pseudo-differential Operators on Graded Lie Groups

Journal of Geometric Analysis ◽

10.1007/s12220-021-00694-1 ◽

2021 ◽

Author(s):

Duván Cardona ◽

Julio Delgado ◽

Michael Ruzhansky

Keyword(s):

Differential Operators ◽

Pseudo Differential Operators

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