Rigid cohomology of Drinfeld’s upper half space over a finite field
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DOI: 10.1007/s00209-017-1951-7
Abstract: In this paper the rigid cohomology of Drinfeld’s upper half space over a finite field is computed in two ways. The first method proceeds by computation of the rigid cohomology of the complement of Drinfeld’s… read more here.
Keywords: space; cohomology; half space; upper half ... See more keywords
Comparison of Boundary Smoothness for an Analytic Function and for its Modulus in the Case of the Upper Half-Plane
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DOI: 10.1007/s10958-018-3696-1
Abstract: Results of a recent paper by A. V. Vasin, S. V. Kislyakov, and the author are extended to the case of outer functions in the upper half-plane. As in the case of the disk, it… read more here.
Keywords: half plane; case; upper half; half ... See more keywords
Reproducing Kernels for Iterated Parabolic Operators on the Upper Half Space with Application to Polyharmonic Bergman Spaces
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DOI: 10.1007/s11785-017-0673-5
Abstract: We consider parabolic operators of fractional order and their iterates on the upper half space of the euclidean space. We deal with Hilbert spaces of solutions of those parabolic equations. We shall show, in this… read more here.
Keywords: space; reproducing kernels; parabolic operators; half space ... See more keywords
Invariant metric on the extended Siegel–Jacobi upper half space
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DOI: 10.1016/j.geomphys.2020.104049
Abstract: Abstract The real Jacobi group G n J ( R ) , defined as the semidirect product of the Heisenberg group H n ( R ) with the symplectic group Sp ( n , R… read more here.
Keywords: jacobi; half space; invariant metric; jacobi upper ... See more keywords
Monotonicity of solutions for the uniformly elliptic nonlocal Bellman equation on the upper half space
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DOI: 10.1016/j.jmaa.2020.124843
Abstract: Abstract In this paper, we develop a sliding method for the uniformly elliptic nonlocal Bellman operator. We first establish a maximum principle on an upper half space, which plays an important role in the sliding… read more here.
Keywords: nonlocal bellman; half space; uniformly elliptic; upper half ... See more keywords