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Sayfa 483
More generally, we can consider differential operators of an arbitrary order
defined on the space of smooth loops in M'. It is natural to call such operators
ordinary differential operators. The ordinary elliptic quasilinear differential
operators have ...
More generally, we can consider differential operators of an arbitrary order
defined on the space of smooth loops in M'. It is natural to call such operators
ordinary differential operators. The ordinary elliptic quasilinear differential
operators have ...
Sayfa 569
By (3.1), we conclude that Gq, (0, 0) Then (3.7) becomes (3.8) IIImo <(l + e)(p-l)(
JJ Mp(*))1/P(// But Mo is an arbitrary compact set in the upper half-space, and e is
an arbitrary positive number. Therefore, (3.9) dx\ dip dxi + dip dtp dx2 i/p dxo ...
By (3.1), we conclude that Gq, (0, 0) Then (3.7) becomes (3.8) IIImo <(l + e)(p-l)(
JJ Mp(*))1/P(// But Mo is an arbitrary compact set in the upper half-space, and e is
an arbitrary positive number. Therefore, (3.9) dx\ dip dxi + dip dtp dx2 i/p dxo ...
Sayfa 934
where T(y) is the standard gamma function and <p(y) is an arbitrary periodic
function, <p(y + 1) = f(y). If we set <p(y) — 1, then for an appropriate choice of the
contour C the integral I\ (see (2.1)) is none other than the Meijer function [EMOT].
where T(y) is the standard gamma function and <p(y) is an arbitrary periodic
function, <p(y + 1) = f(y). If we set <p(y) — 1, then for an appropriate choice of the
contour C the integral I\ (see (2.1)) is none other than the Meijer function [EMOT].
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İçindekiler
G KOKAREV AND S KUKSIN | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
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algebra American Mathematical Society apply arbitrary assume asymptotics belongs boundary conditions cellular ring Chevalley groups Co-contraction coefficients coincides commutative commutative ring compact consider constant contains convergence Corollary corresponding curve cyclic cyclic group defined Definition denote differential operator domain easily seen eigenvalues element elliptic elliptic gamma function English transl equation equivalent estimate exists exponential finite formula Hankel Hankel operators Hecke operators Hilbert space homogenization hypergeometric hypergeometric series ideal identity implies inequality inner function integral invariant isomorphism Jordan model kernel lattice Lemma linear manifold mapping Math matrix g Moreover multiple norm notation obtain orthogonal parameters perestroika polynomial present paper problem proof of Theorem Proposition prove quasiaffinity quasilinear relation representation respectively right-hand side satisfies selfadjoint sequence smooth Sobolev spaces solution solvable spectrum subgroup Subsection subspaces Suppose symplectic group Theorem Theorem 2.1 theory theta theta-series transformation transvections zero