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Inducing spherical representations of semi-simple Lie groups

100%

Strasburger A.

Instytut Matematyczny Polskiej Akademii Nauk

EN

Contents Introduction............................................................................................................................................................................... 5 Chapter I. Preliminaries and notations....................................................................................................................... 8 1. Manifolds—generalities................................................................................................. 8 2. Representations............................................................................................................. 8 3. Induced representations............................................................................................... 10 4. Elements of structure theory of semi-simple Lie groups........................................ 11 5. Homogoneous spaces of semi-simple Lie groups................................................ 12 6. Measures on G and its homogeneous spaces........................................................ 13 7. Invariant differential operators on homogeneous spaces...................................... 14 Chapter II. Spherical representations and spherical functions—General results..................................................... 15 Chapter III. Some representations in function spaces.................................................................................................... 19 Chapter IV. Conical representations and conical distributions...................................................................................... 27 Chapter V. Induced spherical representations................................................................................................................. 38 References............................................................................................................................................................................... 46

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Reduction of invariant differential operators and expansions of conical distributions for $SO_0(n, 1)$

72%

Strasburger A.

Annales Polonici Mathematici

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1988-1989

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tom 49

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nr 3

297-316

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Differential operators of gradient type associated with spherical harmonics

60%

Strasburger A.

Annales Polonici Mathematici

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1991

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tom 53

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nr 2

161-183

Ograniczanie wyników

2 Annales Polonici Mathematici

3 Strasburger A.

1 1991

1 1989

1 1975

Inducing spherical representations of semi-simple Lie groups

Reduction of invariant differential operators and expansions of conical distributions for $SO_0(n, 1)$

Differential operators of gradient type associated with spherical harmonics