Suppose we lhave n observationis ftom Y= X+ c, where e is nieasuremiienit error with kiowin distributioni, and the denesity f of X is uniknowii withi thte nloln-paraniietric conistrainit
Morosawa S. INVARIANT SUBSETS OF THE LIMIT SET FOR A FUCHSIAN GROUP[J]. Tohoku Mathematical Journal, 1990, 42(3): 429-437.
2
Jrgen Elstrodt. Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil III. 1973.
3
Tukia P. The Hausdorff dimension of the limit set of a geometrically finite Kleinian group[J]. Acta Mathematica, 1984, 152(1): 127-140.
4
Lyons T J, Mckean H P. Winding of the plane Brownian motion[J]. Advances in Mathematics, 1984, 51(3): 212-225.
5
Patterson S J. The Exponent of Convergence of Poincar6 Series[J]. Monatshefte für Mathematik, 1976, 82(4): 297-315.
6
Christiansen J, Simon B, Zinchenko M, et al. Finite Gap Jacobi Matrices, I. The Isospectral Torus[J]. Constructive Approximation, 2008, 32(1): 1-65.
7
Falk K, Stratmann B O. REMARKS ON HAUSDORFF DIMENSIONS FOR TRANSIENT LIMIT SETS OF KLEINIAN GROUPS[J]. Tohoku Mathematical Journal, 2004, 56(4): 571-582.
8
Jurgen Elstrodtaffiliated Withmathematisches Institut Der Universitat Munchen. Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil III. 1973.
9
Stratmann B O. Fractal Geometry on Hyperbolic Manifolds[C]., 2006: 227-247.
10
Naud F. Precise asymptotics of the length spectrum for finite-geometry Riemann surfaces[J]. International Mathematics Research Notices, 2005, 2005(5): 299-310.
Niels Skovhus Poulsen. On C∞-vectors and intertwining bilinear forms for representations of Lie groups. 1972.
2
Levyleblond J. Galilei Group and Galilean Invariance[C]., 1971: 221-299.
3
Rigelhof R. Induced representations of locally compact groups[J]. Acta Mathematica, 1970, 125(1): 155-187.
4
Marko Tadic. An external approach to unitary representations. 1993.
5
Roger Howe. On A Notion of Rank for Unitary Representations of the Classical Groups. 2010.
6
Marko Tadiċ. Geometry of dual spaces of reductive groups (non-archimedean case). 1988.
7
Želobenko D P. A DESCRIPTION OF THE QUASI-SIMPLE IRREDUCIBLE REPRESENTATIONS OF THE GROUPS U(n, 1) AND Spin(n, 1)[J]. Mathematics of The Ussr-izvestiya, 1977, 11(1): 31-50.
8
Jorgensen P E. Unbounded operators: Perturbations and commutativity problems[J]. Journal of Functional Analysis, 1980, 39(3): 281-307.
9
Zhelobenko D P. Representations of complex semisimple lie groups[J]. Journal of Mathematical Sciences, 1975, 4(6): 656-680.
10
Thieleker E. On the irreducibility of nonunitary induced representations of certain semidirect products[J]. Transactions of the American Mathematical Society, 1972: 353-369.
Björn AndreasMathematisches Institut, Freie Universität BerlinDarío Sánchez GómezDepartamento de Matemáticas and Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de SalamancaFernando Sancho de SalasDepartamento de Matemáticas and Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca
We construct relative and global Euler sequences of a module. We apply it to prove some acyclicity results of the Koszul complex of a module and to compute the cohomology of the sheaves of (relative and absolute) differential $p$ -forms of a projective bundle. In particular we generalize Bott’s formula for the projective space to a projective bundle over a scheme of characteristic zero.