Solvability of invariant differential operators of principal type on certain Lie groups and symmetric spaces

Jiri Dadok

doi:10.1007/bf02797682

Solvability of invariant differential operators of principal type on certain Lie groups and symmetric spaces

Journal d Analyse Mathématique ◽

10.1007/bf02797682 ◽

1980 ◽

Vol 37 (1) ◽

pp. 118-127 ◽

Cited By ~ 1

Author(s):

Jiri Dadok

Keyword(s):

Lie Groups ◽

Symmetric Spaces ◽

Differential Operators ◽

Principal Type ◽

Invariant Differential Operators ◽

Invariant Differential

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Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1973-13127-1 ◽

1973 ◽

Vol 79 (1) ◽

pp. 129-133 ◽

Cited By ~ 6

Author(s):

Sigurdur Helgason

Keyword(s):

Lie Groups ◽

Symmetric Spaces ◽

Differential Operators ◽

Invariant Differential Operators ◽

Invariant Differential

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Riemannian symmetric spaces and invariant differential operators — preliminaries

Hyperfunctions and Harmonic Analysis on Symmetric Spaces ◽

10.1007/978-1-4612-5298-6_3 ◽

1984 ◽

pp. 54-62

Author(s):

Henrik Schlichtkrull

Keyword(s):

Symmetric Spaces ◽

Differential Operators ◽

Invariant Differential Operators ◽

Invariant Differential ◽

Riemannian Symmetric Spaces

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Hardy-type spaces for eigenfunctions of invariant differential operators on homogeneous line bundles over Hermitian symmetric spaces

Complex Variables Theory and Application An International Journal ◽

10.1080/02781070310001617547 ◽

2003 ◽

Vol 48 (10) ◽

pp. 865-876 ◽

Cited By ~ 1

Author(s):

Salem Ben Saïd

Keyword(s):

Symmetric Spaces ◽

Differential Operators ◽

Line Bundles ◽

Hermitian Symmetric Spaces ◽

Invariant Differential Operators ◽

Hardy Type ◽

Type Spaces ◽

Invariant Differential

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Invariant differential operators for non-compact Lie groups: the SO*(12) case

Journal of Physics Conference Series ◽

10.1088/1742-6596/597/1/012032 ◽

2015 ◽

Vol 597 ◽

pp. 012032

Author(s):

V K Dobrev

Keyword(s):

Lie Groups ◽

Differential Operators ◽

Compact Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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Eigenfunctions of the invariant differential operators on symmetric spaces havingA 2 as a restricted root system

Il Nuovo Cimento A ◽

10.1007/bf02906447 ◽

1986 ◽

Vol 95 (4) ◽

pp. 311-324

Author(s):

M. C. Peati

Keyword(s):

Root System ◽

Symmetric Spaces ◽

Differential Operators ◽

Invariant Differential Operators ◽

Invariant Differential ◽

Restricted Root System

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Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent lie groups

Acta Mathematica ◽

10.1007/bf02392875 ◽

1981 ◽

Vol 147 (0) ◽

pp. 265-288 ◽

Cited By ~ 13

Author(s):

L. Corwin ◽

L. P. Rothschild

Keyword(s):

Lie Groups ◽

Differential Operators ◽

Necessary Conditions ◽

Local Solvability ◽

Nilpotent Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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Invariant differential operators for non-compact Lie groups: The main su(n, n) cases

Physics of Atomic Nuclei ◽

10.1134/s1063778813080073 ◽

2013 ◽

Vol 76 (8) ◽

pp. 983-990 ◽

Cited By ~ 4

Author(s):

V. K. Dobrev

Keyword(s):

Lie Groups ◽

Differential Operators ◽

Compact Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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Invariant differential operators on Hermitian symmetric spaces and their eigenvalues

Israel Journal of Mathematics ◽

10.1007/bf02810667 ◽

2000 ◽

Vol 119 (1) ◽

pp. 157-185 ◽

Cited By ~ 6

Author(s):

Genkai Zhang

Keyword(s):

Symmetric Spaces ◽

Differential Operators ◽

Hermitian Symmetric Spaces ◽

Invariant Differential Operators ◽

Invariant Differential

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On the principal symbols of $K_C$- invariant differential operators on Hermitian symmetric spaces

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/06330837 ◽

2011 ◽

Vol 63 (3) ◽

pp. 837-869

Author(s):

Takashi HASHIMOTO

Keyword(s):

Symmetric Spaces ◽

Differential Operators ◽

Hermitian Symmetric Spaces ◽

Invariant Differential Operators ◽

Invariant Differential

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A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1991.416.207 ◽

1991 ◽

Vol 1991 (416) ◽

pp. 207-219 ◽

Cited By ~ 3

Keyword(s):

Lie Groups ◽

Differential Operators ◽

Nilpotent Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential ◽

New Criterion

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