St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
82 sonuçtan 1-3 arası sonuçlar
Sayfa 715
... zero , it follows that y ( +0 ) = + ∞ . Consequently , there exists a zero x_ ( 0 ) € ( 0 , + ∞ ) . If pЄ ( 0 , π ] , then y ( x ) is a continuous function on [ 0 , + ∞ ) . Further , by ( 3.20 ) , y ( x ) = ( b ( p ) − 1 ) x2n − 1 ...
... zero , it follows that y ( +0 ) = + ∞ . Consequently , there exists a zero x_ ( 0 ) € ( 0 , + ∞ ) . If pЄ ( 0 , π ] , then y ( x ) is a continuous function on [ 0 , + ∞ ) . Further , by ( 3.20 ) , y ( x ) = ( b ( p ) − 1 ) x2n − 1 ...
Sayfa 716
... zeros and poles are uniformly distributed on concentric circles about zero . ) Moreover , for p 0 the function ( K , p ) has a zero of order 2n - 1 at the point x = 0 under the condition b ( p ) ‡ 1 . Since we have accounted for all the ...
... zeros and poles are uniformly distributed on concentric circles about zero . ) Moreover , for p 0 the function ( K , p ) has a zero of order 2n - 1 at the point x = 0 under the condition b ( p ) ‡ 1 . Since we have accounted for all the ...
Sayfa 717
... zero . We fix j = 1 , 2 , ... and consider without loss of generality a zero x ' ; ( p ) , p Є ( 0 , π ] . We know that x¦ ( p ) € ( 2πj , 2π j + р ) . Consequently , It remains to prove that lim x ' ( p ) = 2πj . p → + 0 c ' def max x ...
... zero . We fix j = 1 , 2 , ... and consider without loss of generality a zero x ' ; ( p ) , p Є ( 0 , π ] . We know that x¦ ( p ) € ( 2πj , 2π j + р ) . Consequently , It remains to prove that lim x ' ( p ) = 2πj . p → + 0 c ' def max x ...
İçindekiler
MATHEMATICS | 665 |
150 | 832 |
ABSTRACT Let be an elliptic differential operator of order n2 with constant | 940 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
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a₁ analytic assertion assume asymptotic Blaschke product boundary bounded C₁ cone consider const constant construction convex corresponding covector cubes D₁ decomposition defined definition denote diffeomorphisms differential domain eigenvalues English transl equality equation equivalent estimate exists finite follows function f H₁ hence Hilbert space Hölder holds inequality inner function integral irreducible lattice Lemma Leningrad Lie algebra linear M₁ mapping Mathematical Mathematics Subject Classification maximum principle morphism multiplicity nonlinear norm obtained operator pair perturbation polynomial problem proof of Theorem properties Proposition proved representation Riemann-Roch theorem S₁ satisfying the conditions scattering matrix scattering theory selfadjoint singular smooth solution Soviet Math space spectral spectrum Steklov subspace sufficiently Suppose t₁ Theorem 1.1 theory trace formula trace-class unique unitary V₁ zero