Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Berezanskii Ju. M. — Expansions in Eigenfunctions of Selfadjoint Operators (Translations of Mathematical Monographs Vol 17)
Berezanskii Ju. M. — Expansions in Eigenfunctions of Selfadjoint Operators (Translations of Mathematical Monographs Vol 17)



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Expansions in Eigenfunctions of Selfadjoint Operators (Translations of Mathematical Monographs Vol 17)

Автор: Berezanskii Ju. M.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1968

Количество страниц: 821

Добавлена в каталог: 09.07.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
*-commutativity      611
Borel set      8
Borel set, measurability by      8
Boundary conditions for unbounded regions      202
Boundary conditions, adjoint      71
Boundary conditions, almost correct      84
Boundary conditions, correct      805
Boundary conditions, Dirichlet      113
Boundary conditions, local satisfaction of      93
Boundary conditions, normal      218
Boundary conditions, normal systems of      218
Boundary conditions, null      113
Boundary conditions, preservation of      91
Boundary conditions, real      740
Boundary conditions, removal of      71
Boundary conditions, selfadjoint      379
Boundary of a region      5
Boundary problem, adjoint      82 214
Boundary, piece of      5
Boundary, piecewise smooth      5
Caplygin's expression      299
Cauchy operator for difference equations      540
Cauchy problem      387
Cauchy problem, uniqueness of weak solutions      387
Characteristics, strong      74
Characteristics, weak      74
Closure of operators      10
Closure of operators, by continuity      10
Closure of sets      1
Codimension      212
Conormal      74
Convolution of a function      26
Covering      205
Covering condition      205
Deficiency subspaces and numbers      12
Derivative, generalized, in the sense of S.L. Sobolev      24
Difference equation, adjoint      712
Difference equation, determinate      516
Difference equation, indeterminate      516
Difference equation, ordinary      501 559 712
Difference operator      502 560 581 589
Differential expression      70
Differential expression, adjoint      23 70
Differential expression, elliptic      103
Differential expression, hyperbolic      395
Differential expression, hypoelliptic      455
Differential expression, positive      95
Differential expression, strongly Carleman      453
Differential expression, strongly elliptic      104
Differential expression, with positive Hermitian part      95
Differential expression, with quadratic form bounded below      95
Differential operator      79
Dirichlet system      218
Ehrling — Nirenberg inequality      20
Eigenfunctions, integral      347
eigenvalue problems      98 120 152
Eigenvector, generalized      332
Eigenvector, generalized, in case of equipment with nuclear spaces      342
Elliptic expression, regular      205
Elliptic expression, smoothness of solutions      161
Elliptic expression, smoothness of solutions, inside a region      164 168 172 174
Elliptic expression, smoothness of solutions, up to the boundary      178 253 257
Elliptic problems, Noetherian      214
Ellipticity, regular      122
Energy inequalities      69 80
Energy inequalities for elliptic expressions, and general boundary conditions      207
Energy inequalities for elliptic expressions, and negative norms      137
Energy inequalities for elliptic expressions, on finite functions      112
Energy inequalities for functions satisfying null boundary conditions      121 144
Energy inequalities for general differential expressions with constant coefficients      263
Energy inequalities for nonelliptic expressions      282
Equipment of a space      33 66
Equipment of a space, extension of      332
Extension of equipment      322
Extension of equipment, of positive definite functions, of one variable      666
Extension of equipment, of positive definite functions, of two variables      704
Extension, solvable      80
Extreme points of a convex set      516 537
Factorization of the operator I      36
Fourier transform      62 498
Fourier transform by eigenvalues of a selfadjoint operator      331 338
Fourier transform by eigenvectors to functions, of a difference operator      510 560 581 591
Fourier transform by eigenvectors to functions, of an ordinary differential operator      495
Fourier transform of a generalized function      443 444
Fourier transform, inverse      444
Frankel condition      306 307
Frankel problem      312
Fredholm property problems      99
Function of the first kind      676
Function of the second kind      677
Function, continuously differentiable up to the boundary      14
Function, convolution of      26
Function, exponentially convex      686 702
Function, exponentially convex, of several variables      702
Function, finite      14
Function, generalized      22
Function, generalized spectral      337
Function, locally bounded      3
Function, Nevanlinna      534
Function, positive definite      661 702 711
Function, positive definite, determinate problem of continuation of      666
Function, positive definite, elementary      610
Function, positive definite, indeterminate problem of continuation of      666
Function, positive definite, of one variable, extension of      666
Function, positive definite, of several variables      701
Function, positive definite, of two variables, extension of      704
Function, positive definite, operator      711
Function, spectral      373 359
Function, support of      16 24
Functional, antilinear      9
Green's formula      75 221 502 560 588
Hilbert scale of spaces      240
Homeomorphism      2
Hyperbolic equations, perturbed, solution of      421 430
Identity, resolution of      13
Identity, resolution of, differentiation of      323
Identity, resolution of, generalized      13
Identity, resolution of, in separation of variables      463
Imbedding theorem      17
Inclusion operator      3
Inclusion, quasinuclear      48
Inclusion, topological      2
Integration by abstract measure      6
Interpolation theorem      240
interval      9
Involution      12
Kernel of the resolvent      187
Kernel, elementary positive definite      610
Kernel, generalized      47
Kernel, generalized spectral      337 347
kernel, hermitian      45 47
Kernel, positive definite      45 46 47
Kernel, spectral      337 352
Kernel, spectral integral      347
Kernel, theorem on      47—48 54—56 67
Krein — Milman theorem      537
Laplace expression in $E_{n}$      416
Leibnitz formula      264
Local membership in a space      15 93 94
Matrix, Jacobi      503 591
Matrix, spectral      496 582 591
Measure      6
Measure, absolutely continuous      7
Measure, abstract, integration by      6
Measure, analytic      745
Measure, extreme spectral      516
Measure, finite      7
Measure, generalized      7
Measure, generalized, variation of      7
Measure, locally finite      7
Measure, matrix      556
Measure, operator spectral      562
Measure, operator-valued      319 321
Measure, orthogonal spectral      514
Measure, product      8
Measure, spectral      336
Neighborhood, basic      1
Nevanlinna functions      534
Norms, positive and negative      31
Operator integrals      555
Operator, adjoint      9 11 35
Operator, averaging      26 610
Operator, Carleman      351
Operator, closed      10
Operator, closure of      10
Operator, closure of, by continuity      10
Operator, differential      79
Operator, differential, in an unbounded region      375
Operator, hermitian      11
Operator, Hilbert norm of      318
Operator, Hilbert — Schmidt      48 317
Operator, in pseudo-Hilbert space      557
Operator, inclusion      3
Operator, maximal      79
Operator, maximal, domain of definition for general differential expressions      273
Operator, maximal, for expressions with constant coefficients      273
Operator, maximal, for unbounded regions      376
Operator, maximal, strongly elliptic      182
Operator, minimal      79
Operator, minimal, domain of definition for general differential expressions      269
Operator, minimal, for expressions with constant coefficients      269
Operator, minimal, for unbounded regions      376
Operator, minimal, strongly elliptic      182
Operator, nonnegative      13
Operator, of generalized projection onto a generalized eigenmanifold      336
Operator, of orthogonal projection      11
Operator, of skew projection      11
Operator, on generalized vectors      35
Operator, positive      13
Operator, pseudo-linear      557
Operator, real      26 610
Operator, s-strong      90
Operator, s-weak      90
Operator, selfadjoint      11
Operator, strong      82 376
Operator, strong, for unbounded regions      376
Operator, trace of      52 318
Operator, weak      82 376
Operator, weak, for unbounded regions      376
Operator-valued measure      319 321
Operator-valued measure, differentiation of      319
Operator-valued measure, variation of      321
Parseval equality for difference operators      510 562 563 582 591
Parseval equality for general selfadjoint operators      323 325 335 337
Parseval equality for operators in $L_{2}$      347 352 495
Polynomial of the first kind, induced by a difference expression      503 560
Polynomial of the second kind, induced by a difference expression      520 577 589
Polynomial, complete      277
Polynomial, relatively strong      383
Polynomial, relatively weak      383
Polynomial, subspace of linearity      277
Problem of moments, classical      724
Problem of moments, classical, determinate      725
Problem of moments, classical, indeterminate      725
Problem of moments, degenerate      729
Problem of moments, determinate      725
Problem of moments, determinate, many-dimensional      725
Problem of moments, finite      728
Problem of moments, indeterminate      725
Problem of moments, indeterminate, many-dimensional      725
Problem of moments, multidimensional degree      734
Problem of moments, Stieltjes      728
Pseudo-linear manifold      553
Pseudo-orthogonal sum      553
Pseudo-orthogonal supplement      553
Pseudo-orthonormal basis      550
Pseudo-scalar      548
Pseudo-scalar product      548
Pseudo-subspace      553
Pseudo-subspace, maximal      553
Pseudo-subspace, maximal, for unbounded regions      376
Pseudo-vectors      548
Quadratic forms, lower estimates of      104
Quasi-analytic classes of functions      726
Radon — Nikodym theorem      7
Resolution of the identity      13
Resolution of the identity, differentiation of      323
Resolution of the identity, for separation of variables      463
Resolution of the identity, generalized      13
Ring of sets      6
Schroedinger expression      386 420 431
Schroedinger expression, separation of variables      485
Separability, axiom of      3
Separation of variables for general operators      462
Separation of variables for general operators, in $L_{2}$      478
Separation of variables for partial difference equations      605
Separation of variables for the Schroedinger expression      485
Set, Borel      8
Set, bounded      3
Set, bounded modulo subspaces      278
Set, closed      1
Set, closure of      1
Set, compact      4
Set, convex, extreme points of      516 537
Set, everywhere dense      1
Set, of full measure      7
Set, open      1
Set, precompact      4
Smoothness conditions, the usual      70
Smoothness of solutions of elliptic equations      161
Smoothness of solutions of elliptic equations, inside a region      164 168 172 174
Smoothness of solutions of elliptic equations, up to the boundary      178 253 257
Solution of elliptic equations, inside a region      164 168 172 174
Solution of elliptic equations, smoothness      161
Solution of elliptic equations, up to the boundary      178 253 257
Solution of perturbed hyperbolic equations      421 430
Solution, (r + s)-smooth      90
Solution, fundamental      161
Solution, fundamental system of      494 714
Solution, fundamental, in the classical sense      162
Solution, generalized, inside a region      95
Solution, generalized, up to the boundary      95
Solution, inside a region      95
Solution, r-smooth      83
Solution, s-generalized      90
Solution, semistrong      83
Solution, smooth      83
Solution, strong      83
Solution, up to the boundary      95
Solution, weak      83
Solution, weak, for the Cauchy problem      387
Solvability, conditional      69
Solvability, normal      87
Solvable Extension      80
Space with negative norm      32
Space with positive norm      32
Space, Banach      9
Space, complete      3
Space, equipment of      33 66
Space, Hausdorff      4
Space, Hilbert      10
Space, local membership in      15 93—94
Space, locally compact      4
Space, metric      3
Space, normal      4
Space, nuclear      67
Space, pseudo-Hilbert      548
Space, quasi-Hilbert      10
Space, regular      3
Space, separable      3
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте