Spectral theory for commutative algebras of differential operators on Lie groups

Alessio Martini

doi:10.1016/j.jfa.2011.01.008

Spectral theory for commutative algebras of differential operators on Lie groups

Journal of Functional Analysis ◽

10.1016/j.jfa.2011.01.008 ◽

2011 ◽

Vol 260 (9) ◽

pp. 2767-2814 ◽

Cited By ~ 7

Author(s):

Alessio Martini

Keyword(s):

Lie Groups ◽

Spectral Theory ◽

Differential Operators ◽

Commutative Algebras

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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):

Lie Groups ◽

Differential Operators ◽

Pseudo Differential Operators

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Canonical construction of differential operators intertwining representations of real semisimple Lie groups

Reports on Mathematical Physics ◽

10.1016/0034-4877(88)90050-x ◽

1988 ◽

Vol 25 (2) ◽

pp. 159-181 ◽

Cited By ~ 71

Author(s):

V.K. Dobrev

Keyword(s):

Lie Groups ◽

Differential Operators ◽

Semisimple Lie Groups

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Müller-Pfeiffer, E., Spectral Theory of Ordinary Differential Operators. Ellis Horwood Series in Mathematics and Its Applications. Chichester, Ellis Horwood Limited 1981. 246. S., £ 16.50. ISBN 0-85312-189-3

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19820620310 ◽

1982 ◽

Vol 62 (3) ◽

pp. 211-211

Author(s):

L. Collatz

Keyword(s):

Spectral Theory ◽

Differential Operators ◽

Ordinary Differential Operators

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Krall–Laguerre commutative algebras of ordinary differential operators

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-011-0219-9 ◽

2011 ◽

Vol 192 (2) ◽

pp. 203-224 ◽

Cited By ~ 18

Author(s):

Plamen Iliev

Keyword(s):

Differential Operators ◽

Commutative Algebras ◽

Ordinary Differential Operators

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Spectral Theory for Differential Operators with Variable Exponents

Monographs and Research Notes in Mathematics - Partial Differential Equations with Variable Exponents ◽

10.1201/b18601-6 ◽

2015 ◽

pp. 75-116

Keyword(s):

Spectral Theory ◽

Differential Operators ◽

Variable Exponents

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Spectral Theory for Differential Operators with Variable Exponents

Partial Differential Equations with Variable Exponents ◽

10.1201/b18601-12 ◽

2015 ◽

pp. 97-138

Keyword(s):

Spectral Theory ◽

Differential Operators ◽

Variable Exponents

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Elements of the spectral theory of differential operators

Spectral Geometry of Partial Differential Operators ◽

10.1201/9780429432965-3 ◽

2020 ◽

pp. 115-248

Author(s):

Michael Ruzhansky ◽

Makhmud Sadybekov ◽

Durvudkhan Suragan

Keyword(s):

Spectral Theory ◽

Differential Operators

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Spectral Theory of Differential Operators and Energy Levels of Subatomic Particles

Journal of Mathematical Study ◽

10.4208/jms.v49n3.16.04 ◽

2016 ◽

Vol 49 (3) ◽

pp. 259-292 ◽

Cited By ~ 3

Author(s):

T. Ma and S.-H.Wang

Keyword(s):

Spectral Theory ◽

Differential Operators ◽

Energy Levels ◽

Subatomic Particles

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Book Review: Spectral theory of linear differential operators and comparison algebras

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-1989-15777-7 ◽

1989 ◽

Vol 21 (1) ◽

pp. 105-109 ◽

Cited By ~ 1

Author(s):

Alexander Dynin

Keyword(s):

Spectral Theory ◽

Differential Operators ◽

Linear Differential Operators ◽

Linear Differential

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Solvability of Transversally Elliptic Differential Operators on Nilpotent Lie Groups

American Journal of Mathematics ◽

10.2307/2374656 ◽

1986 ◽

Vol 108 (3) ◽

pp. 589 ◽

Cited By ~ 1

Author(s):

Lawrence Corwin ◽

Linda Preiss Rothschild

Keyword(s):

Lie Groups ◽

Differential Operators ◽

Nilpotent Lie Groups ◽

Elliptic Differential Operators

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