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28 sonuçtan 1-3 arası sonuçlar
Sayfa 570
The variables in Burkholder's function stand for certain martingales, which in his
case are related to each other: one is subordinate to the other. In our case we
replace this variables not by martingales but by functions: the first is Ri<p, and the
...
The variables in Burkholder's function stand for certain martingales, which in his
case are related to each other: one is subordinate to the other. In our case we
replace this variables not by martingales but by functions: the first is Ri<p, and the
...
Sayfa 715
The theta-functions have certain automorphic properties with respect to the
modular transformations of the variables Z and V (see [5]). This makes it possible
to define an action of the Hecke operators on theta-functions. In particular ...
The theta-functions have certain automorphic properties with respect to the
modular transformations of the variables Z and V (see [5]). This makes it possible
to define an action of the Hecke operators on theta-functions. In particular ...
Sayfa 933
If we assume that the variables ij\ yn are discrete, y £ N". and replace integrals by
sums 5ZyGN„ ' then we get the definitions of the plain and (/-hypergeometric
series, which go back to Horn [GGR], and the definition of the elliptic ...
If we assume that the variables ij\ yn are discrete, y £ N". and replace integrals by
sums 5ZyGN„ ' then we get the definitions of the plain and (/-hypergeometric
series, which go back to Horn [GGR], and the definition of the elliptic ...
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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