Index
analytical dynamics, 4
annular-domain, 61
annular-Lagrangian, 63
annular-operator, 62
Banach space, 99
Bessel
Bessel inequality, 87
Bessel-domain, 69
Bessel-Laplacian, 69
Bessel-type boundary conditions, 62
Bessel-type domain, 61
Bessel-type Lagrangian, 75
differential equation, 46
function, 46
boundary conditions (ordinary), 77
coupled, 77
regular, 77
separated, 77
boundary differential operator, 13
boundary system, 14
tangential operator, 52
boundary space, 7, 39-41
boundary value problems, 1
generalized boundary conditions, 48, 57,
60, 77
global or non-local, 2, 77, 78
local, 78
self-adjoint, 1, 9
cardinality, 3, 8, 44
continuum, 44
Coker, 12, 17
Condition D, 20, 21, 23, 26-30, 34, 38-40,
55, 56, 60
coordinates, 1, 97
local normal, 52, 99
polar, 60
real, 1
cosets, 7
deficiency indices, 3, 41, 43, 44
defects, 3
deficiency spaces, 3
deficiency subspaces, 29
direct sum, 3, 5
orthogonal (Hilbert space), 3
orthogonal (symplectic space), 6, 7
Dirichlet boundary value problem, 10
classical, 10
generalized, 19
well-posed, 19
Dirichlet map, 10, 12, 20
Dirichlet system (boundary operators), 14
classical Dirichlet system, 14
generalized Dirichlet system, 15
Dirichlet-domain, 41, 42
Dirichlet-Lagrangian, 11, 41
Dirichlet-operator, 41, 42
Ehrling's Lemma, 17
eigenvalue, 20, 21, 24, 73
multiplicity, 90
eigenvector, 63, 72
eigenfunction, 46, 70
multiplicative eigenfunction, 85
elliptic, 1, 13
elliptic conditions, 13, 21
partial differential operator, 1, 13
elliptic partial differential expression, 1, 13,
17, 27, 38
strongly, uniformly elliptic, 1
essentially self-adjoint, 44, 62, 63, 89
Euclidean space, 1, 97
dimension of, 1
excess, 6, 8, 37
form, 4, 5
semi-bilinear, conjugate-bilinear, 4
sesquilinear, 4
skew-hermitian, 4
symplectic, 5
Fredholm map, 17
index of, 20
Gauss' Theorem, 22
GKN, 3
GKN-correspondence, 8, 39, 40
Previous Page Next Page