1549380232-Automorphic_Forms_and_Applications__Sarnak_

LECTURE 2. THREE SYMMETRIC SPACES 367 terms are not so hard to deal with as in the continuous case since there can be no diverge ...

368 AUDREY TERRAS, ARITHMETICAL QUANTUM CHAOS Figure 7. Tessellation o f t h e 3-regular tree from K4 Figure 8. Tessellation of ...

LECTURE 2. THREE SYMMETRIC SPACES 369 b ehavior of level curves of eigenfunctions. This question is a mathematical analogue of p ...

370 AUDREY TERRAS, ARITHMETICAL QUANTUM CHAOS Figure 10. Level " curves" for eigenfunctions of the adjacency matrix for finite E ...

Bibliography G. Ahumada, Fonctions periodiques et formule des traces de Selberg sur les arbres, C. R. Acad. Sci. Paris, 305 (19 ...

372 AUDREY TERRAS, ARITHMETICAL QUANTUM CHAOS P. Buser, Geometry and Spectra of Compact Riemann Surfaces, Birkhauser, Boston, 1 ...

BIBLIOGRAPHY 373 N. Hurt, Finite volume graphs, Selberg conjectures, and mesoscopic systems: A review, preprint, 1998. Y. Ihara ...

374 AUDREY TERRAS, ARITHMETICAL QUANTUM CHAOS Z. Rudnick, Some problems in "quantum chaos" or statistics of spectra, Park City ...

BIBLIOGRAPHY 375 Melvyn B. Nathanson, in press. A. Terras, Finite Quantum Chaos, American Math. Monthly, 109 (2002), 121- 139. ...

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Isolated Unitary Representations. David A. Vogan, Jr ...

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!AS/Park City Mathematics Series Volume 12, 2002 Isolated Unitary Representations David A. Vogan, Jr In this paper we collect so ...

380 DAVID A. VOGAN, JR, ISOLATED UNITARY REPRESENTATIONS if G is the group of real points of a connected reductive algebraic gro ...

DAVID A. VOGAN, JR, ISOLATED UNITARY REPRESENTATIONS 381 b) The sequence {7rn} is convergent in G, and Sis precisely the set of ...

382 DAVID A. VOGAN, JR, ISOLATED UNITARY REPRESENTATIONS the convergence of infinitesimal characters explained in the preceding ...

DAVID A. VOGAN, JR, ISOLATED UNITARY REPRESENTATIONS 383 List the composition factors of IM(v) = Ind~LnM(o ® v) as {p 1 , ... , ...

384 DAVID A. VOGAN, JR, ISOLATED UNITARY REPRESENTATIONS Suppose now that the theorem is false. Decompose the set 8 of irreducib ...

DAVID A. VOGAN, JR, ISOLATED UNITARY REPRESENTATIONS 385 Theorem 6. Suppose V and V' are distinct irreducible admissible represe ...

386 DAVID A. VOGAN, JR, ISOLATED UNITARY REPRESENTATIONS Write p(u) E fJ* for half the sum of the roots of fJ in u, and M(C, L n ...