Hobson E.W. — The Theory of Functions of a Real Variable and the Theory of Fourier's Series. Vol. II :: Электронная библиотека попечительского совета мехмата МГУ

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Hobson E.W. — The Theory of Functions of a Real Variable and the Theory of Fourier's Series. Vol. II

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Название: The Theory of Functions of a Real Variable and the Theory of Fourier's Series. Vol. II

Автор: Hobson E.W.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1926

Количество страниц: 780

Добавлена в каталог: 17.04.2008

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Предметный указатель

Schoenflies      135
schur      56 67 87
Schwarz      540 545 632
Seidel      130
Seliverstoff      626
Sequences, oscillatory and non-oscillatory      4
Series allied with Fourier’s series      692
Series of numbers of transfinite type      43
Series of numbers with positive terms, convergence and divergence      9 15
Series, integration of      289 303
Sets of points of orders 1 and 2      260
Sets of points, descriptive properties of      258
Sierpinski      278
Simply uniform convergence      109
Singular integrals      443
Singularities, condensation of      389
Sommerfeld      735
Special cases of trigonometrical series      479
St $\ddot{a}$ ckel      514
Steinhaus      540 623 663 678 755
Steinitz      402
Stirling      70
Stokes      119 130 641
Stolz      7 28 200 214 220 344 351
Strong and weak convergence      251
Sturm — Liouville functions      771
Substitution of Fourier’s series      581
Sum of series of numbers      1
Sum-function of series, continuity of      123 129 132
Summability ( $\phi$ ) of Fourier’s repeated integral      728
Summability (C, r) of Fourier’s repeated integral      737
Summability of Fourier’s series      567
Summability of integrals      384
Summability of series of numbers      65 90
Sutton      590
System of Fourier’s coefficients      614
Sz $\acute{a}$ sz      551
Szidon      620 623
Tait      481
Tannery      120 122
Tauber      182 184
Tauberian theorems      182
Taylor’s Theorem      141
Taylor’s theorem for functions of two variables      235

Tests of convergence      115
Thomson      481
Tietze      150
Titchmarsh      489 521 573 600 698 712 742 745 747
Toepler      639
Tonelli      230 380
Tonelli’s theory of integration      381
Trigonometrical series      476
Unconditional convergence      9
Uniform convergence      104
Uniform convergence of double series and sequences      47
Uniform convergence of Fourier’s series      513 535
Uniform convergence of infinite products      142
Uniform convergence of power-series      173
Uniform divergence      108
Uniform oscillation of sequences      160
Uniform oscillation of sequences of the second kind      167
Uniqueness of trigonometrical series      673
Upper and lower associated functions      102
Upper and lower functions      104
Upper and lower sums of series of numbers      3
Vall $\acute{e}$ e Poussin, Ch. de la      234 265 267 277 282 342 350 353 359 463 531 576 659 664 665 669 676 677
Van Vleck      111
Vergerio      698
Vibrating strings      476
Vitali      282 289 297 309
Vitali’s theorem on integrable sequences      297 309
Volterra      119 230 637
Voss      58
Watson      117
Weierstrass      111 130 131 228 230 402
Weierstrass’ theorem      228 461
Weierstrass’ theorem for continuous functions, standard sets of      228
Weierstrass’ theorem for two or more variables      230
Weierstrass’ theorem for unbounded functions      235
Weyl      56 145 763 767
Whittaker      117
Wiener      56
Wilbraham      498
Young, G. C.      225 402 404 577 612
Young, R. C.      704
Young, W. H.      103 111 114 137 138 139 146 148 150 157 160 162 167 169 203 205 238 280 293 299 300 310 318 320 321 331 335 340 341 353 361 362 374 379 464 469 475 489 513 517 531 532 553 556 564 567 570 571 577 580 581 583 596 597 598 600 612 616 619 620 621 624 659 662 664 674 675 682 686 692 694 696 698 717
Young’s test, Fourier’s series      532
Zygmund      587 647 678

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