Multiparameter root vectors
1989 ◽
Vol 32
(1)
◽
pp. 19-29
◽
Keyword(s):
The concept of “root vectors” is investigated for a class of multiparameter eigenvalue problemswhere operate in Hilbert spaces Hm and . Previous work on this “uniformly elliptic” class has demonstrated completeness of the decomposable tensors x1 ⊗…⊗ xk in a subspace G of finite codimension in H=H1 ⊗…⊗ Hk, but questions remain about extending this to a basis of H. In this work, bases of elements ym, in general nondecomposable but satisfying recursive equations of the type are constructed for the “root subspaces” corresponding to λ∈ℝk.
1981 ◽
Vol 91
(1-2)
◽
pp. 15-30
◽
1987 ◽
Vol 30
(2)
◽
pp. 215-228
◽
1974 ◽
Vol 26
(3)
◽
pp. 734-745
◽
1971 ◽
Vol 23
(4)
◽
pp. 611-626
◽
1978 ◽
Vol 21
(2)
◽
pp. 213-219
◽
Keyword(s):
1985 ◽
Vol 28
(2)
◽
pp. 143-158
◽
1969 ◽
Vol 10
(3-4)
◽
pp. 367-384
◽
Keyword(s):
2016 ◽
Vol 60
(1)
◽
pp. 107-126
◽
1964 ◽
Vol 60
(1)
◽
pp. 67-74
◽
1971 ◽
Vol 69
(2)
◽
pp. 125-131