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Volkmer H. — Multiparameter Eigenvalue Problems And Expansion Theorems
Volkmer H. — Multiparameter Eigenvalue Problems And Expansion Theorems

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Название: Multiparameter Eigenvalue Problems And Expansion Theorems

Автор: Volkmer H.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2008

Количество страниц: 172

Добавлена в каталог: 12.11.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Accumulation points of eigenvalues      26 59
Arscott, F.M.      140
Atkinson, F.V.      20 49 74 77 86 113 114 140
Berman, A.      95
Binding, P.      20 48 49 74 75 86 113 114 140
Bocher, M.      74
Boundary eigenvalue problems      61
Boundary eigenvalue problems, definiteness conditions      65 66
Boundary eigenvalue problems, examples      4 68 72 135 136 138
Boundary eigenvalue problems, existence of eigenvalues      64 69 137
Boundary eigenvalue problems, expansion theorems      132 133 134 137 139
Boundary eigenvalue problems, oscillation theorems      64 67 137
Boundary eigenvalue problems, singular case      64 71
Boundedness principle      28 32 74
Boundedness principle, for left definite problems      99
Brouwer's degree of maps      8 12 14 74
Browne, P.J.      74 75 86 140
Carmichael, R.D.      20 113
Closable forms      51 52
Closure of forms      51 52 56
Coddington, E.A.      63
Continuity of eigenvalues      15 47 97
Coordinates, ellipsoidal      4 67 135 137 138
Coordinates, sphero-conal      139 140
Cordes, H.O.      140
Darai , A.      140
Decomposable eigenvector      76
Definiteness      17 42 60
Definiteness, criterion      85
Definiteness, left      43 60
Definiteness, local      8 21 39 57
Definiteness, local in the strong sense      22 39 59
Definiteness, right      42 60
Definiteness, strict left      61 66
Definiteness, strict right      61 66
Deimling, K.      13
Differential equations, Hamilton — Jacobi      62
Differential equations, Lame      67 70 71 72 138
Differential equations, Laplace      67
Differential equations, Mathieu      5
Differential equations, Schrodinger      137
Differential equations, wave equation      4 135
Differential operator, Laplace      137
Differential operator, ordinary      53 62 65
Differential operator, partial      4 128 134
Differential operator, uniformly elliptic      130 131 140
Discreteness of the spectrum      26
Dixon, A.C.      140 141
Dunford, N.      54
Eigencurve      2 3 98
Eigenspace      77 88 120
Eigensystem      90 101
Eigenvalue      8 21 50
Eigenvalue problems for bounded operators      21 87
Eigenvalue problems for bounded operators, approximation      87 90 113
Eigenvalue problems for bounded operators, continuity of eigenvalues      47 97
Eigenvalue problems for bounded operators, examples      38 107
Eigenvalue problems for bounded operators, existence of eigenvalues      36 43
Eigenvalue problems for bounded operators, expansion theorems      93 99 103 105
Eigenvalue problems for bounded operators, projection      25 90
Eigenvalue problems for bounded operators, uniqueness of eigenvalues      25
Eigenvalue problems for integral operators      107
Eigenvalue problems for integral operators, expansion theorems      109 112
Eigenvalue problems for matrices      8 76
Eigenvalue problems for matrices, completeness of eigenvectors      77 82 85
Eigenvalue problems for matrices, continuity of eigenvalues      15
Eigenvalue problems for matrices, examples      1 18
Eigenvalue problems for matrices, existence of eigenvalues      13
Eigenvalue problems for matrices, orthogonality of eigenvectors      79
Eigenvalue problems for matrices, uniqueness of eigenvalues      11
Eigenvalue problems for unbounded operators      50 116
Eigenvalue problems for unbounded operators, examples      61 64
Eigenvalue problems for unbounded operators, existence of eigenvalues      59
Eigenvalue problems for unbounded operators, expansion theorems      123 126 127 128
Eigenvalue problems for unbounded operators, transformation      56 116 120
Eigenvalue problems for unbounded operators, uniqueness of eigenvalues      59
Eigenvectors      78 89 121
Eigenvectors, decomposable      76
Ellipsoidal coordinates      4 67 135 137 138
Elliptic membrane      4
Erdelyi, A.      139
Existence of eigenvalues      13 36 43 59 64 137
Expansion theorems, in series of Lame products      139
Expansion theorems, in series of Lame's wave functions      137
Expansion theorems, preliminary      93 94
Expansion theorems, under definiteness      85
Expansion theorems, under left definiteness      99 112 123
Expansion theorems, under local definiteness      77 82
Expansion theorems, under right definiteness      103 105 109 126 127 134
Expansion theorems, under strict left definiteness      126 132
Expansion theorems, under strict right definiteness      128 133
Faierman, M.      74 75 140 141
Form determinants      77 78 88
Form determinants, positive definite      83
Form determinants, strictly definite      119
Fredholm integral operator      107
Gamma-operator      102 123
Garding's inequality      131
Hamilton — Jacobi equation      62
Hausdorff, F.      49
Hilb, E.      74 141
Hilbert, D.      27 140
Howe, A.      75
Ince, E.      74
Index of eigenvalues      9 23 57
Jacobian elliptic functions      70 71
Jdrgens, K.      65 71
Joint range of forms      26
Kallstrom, A.      113 114 140
Kalnins, E.G.      4
Kato, T.      51 56 101
Klein's oscillation theorem      67 70
Klein, F.      67 70 74
Lame functions      73 140
Lame polynomials      70 71 73 138
Lame products      138 139 140 141
Lame's differential equation      67 70 71 72 73 138
Lame's differential equation, Jacobian -form      72 138
Lame's wave functions      116
Laplace equation      67
Laplace series      140
Left definiteness      43
Left definiteness, relations      44
Left definiteness, strict left      61 66
Levinson , N.      63
Limit-circle case      65 71
Limit-point case      65
Local definiteness      8 21 57
Local definiteness, criterion      16 24
Local definiteness, in the strong sense      22 59
Local definiteness, motivation      82
Local definiteness, relation to definiteness      17 18
Local definiteness, relation to local definiteness in the strong sense      40 60 65
Local definiteness, relation to other definiteness conditions      44
Magnus, W.      139
Mathieu's differential equation      5
Maximum-minimum principle      9 15 23 25 38 45 52
Meixner, J.      4 6 135 136 140
Miller, W., Jr      4
Minkowski matrices      87 94
Multiplication operator      62 65 128 132
Multiplicity of eigenvalues      9 23 57 63 76 78 80 89
Nagy      8 27
Oberhettinger, F.      139
Operator determinant      86 120 122 125 128
Orthogonality of eigenvectors      79 89
Oscillation theorem, abstract      37 74
Oscillation theorem, Klein's      67 70 74
Oscillation theorems      63 64 70 73 74 137
Pell, A.      49 114 115
Plenwions, R.J.      95
Reid, W.T.      54 55
Rellich, F.      65 71
Richardson, R.G.      74
Riesz, F.      27
Right definiteness      42 60
Right definiteness, relations      44
Right definiteness, strict right      61 66
Roach, G.F.      141
Sansone, G.      140
Schaefke, F.W.      4 6 135 136 140
Schaefke, R.      75
Schmidt, D.      136 138 140
Schroedinger equation      137
Schwartz, J.T.      54
Semibounded operators with compact resolvent      51 54 65
Separation constants      3 5 67 129 136
Separation of variables      3 5 62 67 116 128 129 130 135 138 140
Sequences of compact Hermitian operators      45 93
Signed index      11 24 57
Signed index, signum of eigenvalues      11 24 57
Sleeman, B.D.      74 113 114 140
Sobolev space      7 116 130 131 132
Spherical surface harmonics      139 140
Sphero-conal coordinates      139 140
Staeckel, P.      62
Stenger, W.      9
Stieltjes' theorem      71 73 138
Stieltjes, T.J.      71
Strict left definteness      61
Strict left definteness, criterion      65
Strict right definteness      61
Strict right definteness, criterion      65
Sturm — Liouville      6 50 54 63 64 65 74 75 140 141
Tensor product      76 88 108 117
Tensorial product      77 88 118 120
Tricomi, F.G.      139
Turyn, L.      75
Uniqueness of eigenvalues      11 25 59
Watson, G.N.      70
Wave equation      4 135 136
Weak topology      27 46
Weinstein, A.      9
Whittaker, E.T.      70
Wolf, G.      136 138 140
Yandermonde determinant      136
Yolkmer, H.      20 48 49 74 75 86 114 115 140 141
Yoshida, K.      130 131
Yoshikawa, J.      74
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