St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
9 sonuçtan 1-3 arası sonuçlar
Sayfa 1106
... torus is obtained which has a multiple - valued Hamiltonian H. In this case every nonsingular level curve of a sufficiently smooth function H has exactly one unbounded component [ 4 ] . The topological and ergodic properties of such ...
... torus is obtained which has a multiple - valued Hamiltonian H. In this case every nonsingular level curve of a sufficiently smooth function H has exactly one unbounded component [ 4 ] . The topological and ergodic properties of such ...
Sayfa 1107
... torus T3 = R3 / Z3 can be reduced to the form f.vo , where vo is a constant ( translation - invariant ) vector field on the torus and f is a positive function , by a smooth ( or analytic if v is analytic ) change of coordinates on the torus ...
... torus T3 = R3 / Z3 can be reduced to the form f.vo , where vo is a constant ( translation - invariant ) vector field on the torus and f is a positive function , by a smooth ( or analytic if v is analytic ) change of coordinates on the torus ...
Sayfa 1109
... torus R3 / Z3 . In this coordinate system v = -A0 / ƏZ , where A > 0. Reducing the lattice @ Z3 to the standard form Z3 by the inverse linear transformation w - 1 , we reduce v to the form required in the theorem . Remark . The ...
... torus R3 / Z3 . In this coordinate system v = -A0 / ƏZ , where A > 0. Reducing the lattice @ Z3 to the standard form Z3 by the inverse linear transformation w - 1 , we reduce v to the form required in the theorem . Remark . The ...
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HADAMARDS CONJECTURE | 634 |
1993 No 4 | 921 |
AND ESTIMATES OF THE GREEN FUNCTION | 1054 |
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According algebra analytic apply assertion assume asymptotic boundary bounded closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function given gives hence holds implies inequality integral introduce Lemma limit linear mapping Math Mathematical means measure multiplicity norm obtained Obviously operator pair particular perturbation positive possible principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique vector zero