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87 sonuçtan 1-3 arası sonuçlar
Sayfa 478
In this case, the class of quasilinear differential operators has an equivalent
definition, which is more convenient for the treatment of specific operators. The
corresponding definitions are given in the present and the next subsections.
In this case, the class of quasilinear differential operators has an equivalent
definition, which is more convenient for the treatment of specific operators. The
corresponding definitions are given in the present and the next subsections.
Sayfa 852
We put A; = {A}} = 9; \ A and call A* the set of noncommon zeros of the function ipi
. Definition 1 ([5]). We say that a system (ipi,. □ □ ,if>n) of entire functions of
order (at most) p and of finite type (with order p) has regular growth along a ray ty
(y ...
We put A; = {A}} = 9; \ A and call A* the set of noncommon zeros of the function ipi
. Definition 1 ([5]). We say that a system (ipi,. □ □ ,if>n) of entire functions of
order (at most) p and of finite type (with order p) has regular growth along a ray ty
(y ...
Sayfa 857
where Aj = is the set of noncommon zeros of the function ipi (with regard to
multiplicity). Proposition 2. Definitions 4 and 5 are equivalent. Proof. Suppose the
conditions listed in Definition 4 are fulfilled with A and <5o replaced by A and 8q,
...
where Aj = is the set of noncommon zeros of the function ipi (with regard to
multiplicity). Proposition 2. Definitions 4 and 5 are equivalent. Proof. Suppose the
conditions listed in Definition 4 are fulfilled with A and <5o replaced by A and 8q,
...
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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