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Электронная библиотека Попечительского совета механико-математического факультета Московского государственного университета   Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум    Поиск по указателям de Branges L., Rovnyak J. - Square summable power series Читать книгу бесплатно Скачать книгу с нашего сайта нельзя Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Square summable power series Авторы: de Branges L., Rovnyak J. Язык: Рубрика: Математика/Анализ/Продвинутый анализ/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1966 Количество страниц: 104 Добавлена в каталог: 02.04.2005 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель       47       91       88-91       4-5 38 42       22-24 33 , characterization of spaces      38-39 , decomposition of spaces      29 32 , equality of spaces      33 , finite dimensional spaces      29 51 53-54 , inclusions      29-30 32-33 , relation to       47-49 , relation to       23 29       11 Absolute value      1 Adjoint transformation      34 35 38 39 42 Adjoint transformation of difference-quotient transformation      36 37 39 46 47 Approximation by Blaschke products      51 Approximation by Borel measurable functions      86 Approximation by finite dimensional spaces      53 Approximation by polynomials      19 Aronszajn, N.      71 B-norm      22 Bessel's inequality      7 Beurling, A.      12 34 Beurling's factorization      97 Blaschke product      17 33 51 54 Borel measurable function      86-87 Borel measurable function, conjugate of      86 Borel measurable function, limits of      86 Borel measure      82-86 Borel measure and nondecreasing functions      82 Borel set      81 Bound of a transformation      47-48 Boundary value function      91-95 98 Bounded function      17 18-19 22 28 29 31-33 70 Bounded type      95-99 Bounded type and non-negative real part      96 Bounded type and square summable power series      96 98 Canonical model      34-35 42 Cantor diagonal procedure      53 80 81 Caratheodory condition      84 Cauchy sequence of complex numbers      1 Cauchy sequence of vectors      8 Cauchy's Theorem      63-67 Change of measure theorem      79 Characterization of       38 Characterization of difference-quotient transformation      34-35 Characterization of functions of bounded type      96 Characterization of range of multiplication by B(z)      29 Characterization of spaces       39 Closed curve      62-63 Closed ideal      10-14 33 Closed ideal, examples      11 15 16 17 33 Closed ideal, generated by a power series      33 97 98 Closed set      8 Closed span      10 Commuting transformations      28 55-56 Completeness of       8 Completeness of       24 Completeness of complex numbers      2 Completeness of inner product spaces      8 Completeness of Lebesgue spaces      88 complex numbers      1 Conjugate of a Borel measurable function      86 Conjugate of a complex number      1 Construction of closed ideals      10-11 Construction of measures      83 Continuity of function values      14 28 Continuity of inner product      10 Continuity of length of a curve      59 63 Continuous linear functional      10 Continuous transformation      34 Contour integral      58 Convergent power series      14 18-19 Convergent sequence      1 Convex region      67 Convex set      8 Countable number of discontinuities      81 Curve      57 Decomposition of open sets      82 Decomposition of spaces       29 32 Density of continuous functions in       91 Difference quotient      14 29 Difference quotient and minimal decompositions      36 44-46 Difference quotient in       29 39 43 Difference quotient, identity      38-39 42-43 46 Difference-quotient transformation      34-39 45-47 Differentiability      14 57 59 67 68 70 Differentiable function      14 57 Differentiable function as derivative      67 Discontinuities of nondecreasing function      81 Disjoint sequence of sets      82 Double orthogonal complement      10 Equivalence classes of functions      88 Estimate of function values      97-99 Existence of factors      53 Existence of integral      58 Existence of subsequence      53 80 Existence of subspaces      53 Exponential function      3 52 55 Factorization      17 18 30-31 53 97-99 Factorization theorem      53 Factors of B(z)      17 18 29 30 Fatou's theorem      91 Finite dimensional space      51 54 Formal convergence      19 Formal power series      2-3 Function values      14 28 Function values, bounded by one      17 18 70 Function values, estimate of      97-99 Fundamental theorem of algebra      18 70 Fundamental theorem of the calculus      59 Goursat, E.      63 Helly selection principle      80 Helly, E.      80 Herglotz, G.      79 Herglotz's theorem      80 Hilbert space      8 Hilbert space of power series      38 39 Ideal      10 Ideal theorem      12 Ideal, closed      11-14 33 Ideal, examples of closed ideals      11 15 16 17 33 Identity for difference quotients      38-39 42-43 46 Inclusions of spaces       29 30 32-33 Indeterminate      57 Infinite products      15 Infinite products, expressed in terms of norms      7 24 Infinite products, inner product      3 4 integral      58 79 Integral and sums      79 Integral over a curve      58-67 Integral, Lebesgue      87-91 Integral, Stieltjes      79 91 Integral, Stieltjes and Lebesgue      91 Interval of parametrization      57 Invariant subspace      33 Isometric inclusion      32 Isometric multiplication      11 32 33 Isometric multiplication and factors      33 Isometric substitution      49 54 Isometric transformation      34 47 Jensen's Inequality      96-97 Kernel of a linear functional      10 Laguerre polynomial      3 Landau, E.      1 Lebesgue and Stieltjes integrals      91 Lebesgue integral      87-91 Lebesgue space      88 Lebesgue, H.      83 Left and right limits      59 64 Limits of Borel measurable functions      86 Linear functional      10 Linear transformation      2 Linearity      4 Logarithm      96 Maximum principle      17 29 68-70 Measurable function      86-87 Measure      82-86 Measure and nondecreasing function      82 83 Measure, change of measure theorem      79 Mesh of a partition      58 Minima of modulus      70 Minimal decomposition      26-29 31-32 36 44-46 Minimal decomposition and difference quotients      36 44 45 Multiplication by B(z)      11 18 28 29 33 54-55 Multiplication by z      13-14 38 43 45 Nevanlinna, R.      95 98-99 Nevanlinna's estimate      98 Nevanlinna's factorization      99 Non-negative real part      80 Non-negative real part and bounded type      96 Nondecreasing function      79 80 82 83 89 Norm      5 Norm of limit      19 91 One-dimensional range      34 37 39 42 Orthogonal complement      10 Orthogonal complement of ideal      23 Orthogonal sequence      7 Orthogonality      7 Outer measure      82-86 Parallelogram law      5 6-7 23 PARAMETER      57 Partial isometry      39 56 Partition      57 Perpendicular      7 Perpendicular and shortest distance      9 Poisson formula      76 Poisson kernel      92 Poisson representation      79 Polynomial      19 Polynomial and Blaschke products      33 Positive-definiteness      70 Positivity      4 Power series      see 'Formal power series' Power series, convergent power series      14 18-19 Power series, square summable power series      4 Powers tending to zero      34-35 Products of Borel measurable functions      86 Products of functions of bounded type      96 Products of power series      3 Projection      9 R(w)      36 46 Rational function and Blaschke product      33 Rectangular region      63 Refinement of a partition      58 Region      57 Representation of continuous linear functionals      10 Representation of differentiable function as power series      70 Riesz - Fischer theorem      88-91 Riesz, F., and Sz.-Nagy, B.      88 Rovnyak, J.      12 Schwarz inequality      5-6 Schwarz inequality, equality in      6 12 Schwarz's lemma      70 Sequence of finite Blaschke products      51 Sequence of nondecreasing functions      80 Sequence of polynomials      19 Sequence of spaces      53 Series      see 'Formal power series' Series and functions      14 57 Sets of measure zero      88 Shortest distance      9 Soap bubble theorem      77 Space of dimension zero or one      53 span      9 Square integrable function      87-88 Square summable power series      4 Square summable power series and bounded type      96 98 Stieltjes and Lebesgue integrals      91 Stieltjes integral      79 Subadditivity of outer measure      82-83 Substitution theory      49-51 54-55 Sums of Borel measurable functions      86 Sums of functions of bounded type      96 Sums of squares bounded by one      22 Symmetry      4 Transformations      2 33-36 42 Transformations, commuting      28 55-56 Triangle inequality      6 Uniqueness of shortest distance      9 Unitary equivalence      34 42 47 Variable      57 Vector space      2 Vector space with inner product      4 Walsh, J. 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