5610 



Harmonic Analysis; Fourier's Series 



Gilbert, P. Brux. S. Sc. A. 8 (1884) (Pt. 



2) 1-. 



Hermite, C. Am. J. Mth. 9 (1887) 381-. 

 Michelson, A. A. Nt. 58 (1898) 544-. 

 Love, A.E.H. Nt. 58 (1898) 569-. 

 Gibbs, J. W. [1898] Nt. 59 (1898-99) 200. 

 Michelson, A. A. [1898] Nt. 59 (1898-99) 200. 



5610 



Finite and continuous functions not develop- 

 able in Fourier's series at point x = 0. 

 Harolli, B. G. Mt. 37 (1899) 80-. 



General form and application. Dienger, J. 

 Grunert Arch. 39 (1862) 303-. 



History. Gibson, G. A. Edinb. Mth. S. P. 

 11 (1893) 137-. 



Love, A.E.H. [1898] Nt. 59 (1898-99) 200-. Logarithmic potentials and Fourier's series. 

 Hay ward, R. B. Nt. 59 (1898-99) 271. c. .--i-- ^ mi T T __,. ^ ^ naon 



Baker, H. F. Nt. 59 (1898-99) 319-. 

 Gibbs, J. W. Nt. 59 (1898-99) 606. 

 Poincare, . Nt. 60 (1899) 52. 

 Love, A.E.H. Nt. 60 (1899) 100-. 

 Lerch, . Bll. Sc. Mth. 24 (1900) 102-. 

 Application in optics. Wind, C. H. [1900] 

 Ps. Z. 2 (1901) 189-. 



to theory of functions of complex variable. 

 Harnack, A. [1882] Mth. A. 21 (1883) 305-. 



Approximate representation by. Picard, E. 



C. E. 112 (1891) 183-. 

 Behaviour at discontinuities. Lindemann, 



C. L. F. [1881] Mth. A. 19 (1882) 517-. 

 Calculation of Fourier and Bessel series. 



Dechevrens, M. Em. N. Line. Mm. 16 



(1899) 149- ; 17 (1900) 47-. 

 Case. Poreckij, P. S. Kazan S. Nt. (Ps.-Mth.) 



P. 6 (1888) 330-. 

 Coefficients. Bruno de Cabedo, J. G. Teix. 



J. Sc. 12 (1895) 81- ; Fschr. Mth. (1893-94) 



395. 

 , calculation. Mace de Lepinay, J. J. de 



Ps. 8 (1899) 137-. 



, harmonic analyser for graphic determina- 

 tion. Bervy, N. Mosc. Obs. A. 3 (Pt. 2) 



(1896) 109-. 

 Conduction of heat : imaginary roots of certain 



transcendental equations. Fourier, J. B. J. 



[1826] Par. Mm. Ac. Sc. 7 (1827) 605-. 



, mathematical theory, additions 

 1811-89. Gibson, G. A. Edinb. Mth. S. 

 P. 7 (1889) 5-. 



in solid, series connected with. 

 Poisson, S. D. Crelle J. 16 (1837) 39. 



, . Liouville, J. Crelle 



J. 16 (1837) 41-. 

 Convergence. Gibson, G. A. Edinb. Mth. S. 



P. 12 (1894) 39-. 



. Williams, W. Ph. Mg. 42 (1896) 125-. 

 . Ford, W. B. [1900] N. Y. Am. Mth. S. 



Bll. 7 (1901) 227-. 

 , Cauchy's second proof. Harnack, A. Mth. 



A. 32 (1888) 175-. 



and divergence. Du 



Somigliana, C. Mil. I. Lomb. Ed. 20 (1887) 



635-. 

 Machine for expansion of any function in. 



Sommerfeld, A. Konigsb. Schr. 32 (1891) 



(Sb.) 28-. 

 Proof of law of coefficient formation. Du Bois- 



Reymond, P. [1875] Munch. Ak. Ab. 12 



(1876) (l te Ab.) 117-. 

 for periodic functions. Alexander, P. Mess. 



Mth. 16 (1887) 23-. 

 Proofs, simplification. Harnack, A. [1881] 



Mth. A. 19 (1882) 235-, 524-. 

 Properties of Fourier's series and coefficients. 



Bjorling, C. F. E. [1865] Stockh. Ofv. 22 



(1866) 511-. 



Eepresentation of functions by, sufficient con- 

 dition for. Holder, 0. Berl. Ak. Sb. (1885) 



419-. 

 of 1 variable by Fourier's series and 



in other ways. Hermite, C. C. E. 91 (1880) 



1018-. 

 Theorem, proof. Johnson, A. E. Mess. Mth. 



16 (1887) 90-. 

 "Theorie analytique de la chaleur," passage 



in. Stieltjes, T.J. N. A. Mth. 8 (1889) 472-. 

 Theory. Harnack, A. Bll. Sc. Mth. As. 6 



(1882) 242-, 265-, 282-. 

 . Mansion, P. Brux. Ac. Mm. 45 (1884) 



(No. 5) 20 pp. 

 . Lerch, M. Prag Ceske Ak. Fr. Jos. Ez. 



(Tfida 2) 9 (1900) Art. 7, 15 pp. 

 Uniqueness. Cantor, G. Crelle J. 72 (1870) 



139- ; 73 (1871) 294-. 



Munch. Ak. Ab. 12 (1876) (2< Ab.) 1- ; Mth. 

 A. 10 (1876) 431-. 



Expansion of discontinuous functions. Berger, 

 A. Ups. S. Sc. N. Acta 15 (1895) No. 13, 

 33pp. 



doubly periodic functions. Charlier, 

 C. V. L. Stockh. Ak. Hndl. Bh. 12 (Afd. 1) 

 (1887) No. 9, 24 pp.; Fschr. Mth. (1887) 448. 



, graphic. Perry, J. Elect. 35 (1895) 285-. 



of uniform finite function of an angle by. 

 Voigt, W. Em. E. Ac. Line. Ed. 8 (1899) 

 (Sem. 1) 93-. 



Extensions of Fourier's trigonometric series. 

 Alexander, P. Mess. Mth. 16 (1887) 42-. 



Approximately simple waves. Rayleigh, (Lord). 



Ph. Mg. 50 (1900) 135-. 

 Bessel' s formula in meteorology. Schreiber, P. 



[1892] Ac. Nt. C. N. Acta 58 (1893) 137-. 

 Expansion of functions in periodic series. 



Hottel, J. C. E. 52 (1861) 512- ; (x) Par. 



Obs. A. 8 (1866) 83-. 

 . series of cosines, case. Julius, 



V.A. N. Arch. Wisk. 3 (*1877) 80-. 

 Bois-Reymond, P. sines and cosines. Liouville, 



J. Liouv. J. Mth. 1 (1836) 14- . 

 trigonometric series, possibility. 



Riemann, [G. F.] B. Gott. Ab. 13 (1868) 



(Mth.) 87- ; Bll. Sc. Mth. As. 5 (1873) 20-, 



79-. 

 of sin B and cos 6 in terms of sines 



and cosines of multiples of d. Cauchy, A. L. 



C. E. 12 (1841) 323-. 

 2 summatory formulae. Schlomilch, O. 



Crelle J. 42 (1851) 125-. 

 in trigonometric series of functions having, 



between finite limits, an infinite number of 



maxima and minima. Lipschitz, R. Crelle 



J. 63 (1864) 296-. 



VOL. I. 



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