St. Petersburg Mathematical Journal, 8. cilt,1-542. sayfalarAmerican Mathematical Society, 1997 |
Kitabın içinden
33 sonuçtan 1-3 arası sonuçlar
Sayfa 93
... OPERATORS AND COMMUTING DIFFERENTIAL OPERATORS F. ALBERTO GRÜNBAUM Given a differential operator L defined ( for instance ) in L2 ( 0 , ∞ ) with properly chosen eigenfunctions f ( x , k ) , namely , Lƒ = −D2ƒ + Vƒ = k2ƒ , one is often ...
... OPERATORS AND COMMUTING DIFFERENTIAL OPERATORS F. ALBERTO GRÜNBAUM Given a differential operator L defined ( for instance ) in L2 ( 0 , ∞ ) with properly chosen eigenfunctions f ( x , k ) , namely , Lƒ = −D2ƒ + Vƒ = k2ƒ , one is often ...
Sayfa 94
... differential operator is A , = −Dk1 ( G2 − k2 ) Dk1 + k2T2 + G2 ( v2 − 1/4 ) / k2 . In all these cases the differential operator A has simple spectrum and , thus , every eigen- function of it automatically becomes one for the integral ...
... differential operator is A , = −Dk1 ( G2 − k2 ) Dk1 + k2T2 + G2 ( v2 − 1/4 ) / k2 . In all these cases the differential operator A has simple spectrum and , thus , every eigen- function of it automatically becomes one for the integral ...
Sayfa 96
... differential operators of order higher than two . Notice the limiting relations given by AA ( 1 ) ( ∞ ) = 2G2 Ao ... operator of our kind to admit a commuting differential operator . For convolution type integral operators this was seen ...
... differential operators of order higher than two . Notice the limiting relations given by AA ( 1 ) ( ∞ ) = 2G2 Ao ... operator of our kind to admit a commuting differential operator . For convolution type integral operators this was seen ...
İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
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2can a₁ arbitrary assume assumptions asymptotics b₁ boundary bounded classical coefficients compact condition congruence constant construction convex convex hull corresponding curvature curve decomposition defined definition denote differential dimension discrete domain eigenfunctions eigenvalues elliptic English transl equation ergodic estimate exists finite fixed formula function genus gradient flow Grassmannians H₁ Hilbert space implies inequality integral invariant inverse isometric isospectral labeled graph lattice Lemma linear M₁ manifolds Math Mathematics Subject Classification matrix Moreover Morse functions nonzero obtain orbifolds orthogonal parameter periodic orbits perturbation Phys positive potential problem Proposition prove quadratic forms quantization quantum relation respect result satisfies Schrödinger equation Schrödinger operator selfadjoint semiclassical solutions space spectral spectrum square free Subsection subspace symbol symmetric theory vector wavelet Wiener zero