Abstract
Infinite determinants. The concept of infinite determinant was introduced by G. W. Hill 5 in connection with the solution of differential equations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Notes
Schlesinger, L.: J. reine angew. Math. Vol. 128 (1904) pp. 263ā297.
Schlesinger, L.: Math. Z. Vol. 33 (1931) pp. 33ā61.
Turnbull, H. W.: Proc. Edinburgh Math. Soc. II Vol. 1 (1927) pp. 111ā128.
Loewy, A.: Math. Ann. Vol. 78 (1918) pp. 1ā51, 343-358 and 359-368.
Hill, G. W.: Acta math. Vol. 8 (1886) pp. 1ā36.
PoincarĆ©: Bull. Soc. Math. France Vol. 14 (1886) pp. 77ā90.
Koch, H. Von: Acta math. Vol. 15 (1891) pp. 53ā63.
Koch, H. Von: Acta math. Vol. 16 (1892ā1893) pp. 217ā295.
Koch, H. Von: C. R. Acad. Sei., Paris Vol. 116 (1893) pp. 91ā93.
Koch, H. Von: Rend. Circ. mat. Palermo Vol. 28 (1909) pp. 255ā266.
BĆ“br, ST.: Math. Z. Vol. 10 (1921) pp. 1ā11.
Cohen, L. W: Bull. Amer. Math. Soc. Vol. 36 (1930) pp. 563ā572.
Schmidt, E.: Rend. Circ. mat. Palermo Vol. 25 (1908) pp. 53ā77.
Toeplitz: Rend. Circ. mat. Palermo Vol. 28 (1909) pp. 88ā96.
Wintner: Math. Z. Vol. 24 (1925) p. 266.
Stieltjes, T. J.: Ann. Fac. Sci. Univ. Toulouse Vol. 8 (1894) J1āJ122.
VonKoch: C. R. Acad. Sci., Paris Vol. 120 (1895) pp. 144ā147.
Hellinger and Toeplitz: Knzykl. der math. Wiss. II C 13 Ā§ 17 (1927)
Gillespie, D, C.: Bull. Amer. Math. Soc. Vol. 33 (1927) pp. 654ā655, abstract only.
Shaw, A. A.: Amer. Math. Monthly Vol. 38 (1931) pp. 188ā194.
Hellinger and Toeplitz: Math. Ann. Vol. 69 (1910) pp. 289ā330.
Toeplitz: Math. Ann. Vol. 70 (1910) pp. 351ā376.
Hellinger and Toeplitz: Math. Ann. Vol. 69 (1910) pp. 289ā330.
Hahn, H.: Mh. Math. Phys. Vol. 23 (1912) pp. 161ā224.
Murray, F. H.: Ann. of Math. Vol. 29 (1928) pp. 133ā139.
Hyslop, J.: Proc. London Math. Soc. II Vol. 24 (1926) pp. 264ā304.
Schur, I.: Math. Z. Vol. 1 (1918) pp. 184ā207.
Wintner, A.: Amer. J. Math. Vol. 54 (1932) pp. 145ā149.
Martin, M. H.: Amer. J. Math. Vol. 54 (1932) pp. 579ā631.
Neumann, J. Von: J. reine angew. Math. Vol. 161 (1929) pp. 208ā236.
Neumann, J. Von: Math. Ann. Vol. 102 (1929) pp. 49ā131.
Dirac, P. A. M.: Proc. Cambridge Phil. Soc. Vol. 23 (1926) pp. 412ā418.
Volterra, V.: Atti Accad. naz. Lincei, Rend. V Vol. 19 (1910) pp. 169ā180.
Dirac, P. A. M.: Proc. Roy. Soc. London A Vol. 113 (1926ā1927) pp. 621 to 641.
Michal, A. D.: Amer. J. Math. Vol. 50 (1928) pp. 473ā517.
Rights and permissions
Copyright information
Ā© 1933 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mac Duffee, C.C. (1933). Matrices of infinite order. In: The Theory of Matrices. Ergebnisse der Mathematik und Ihrer Grenʶgebiete, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-99234-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-99234-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-98421-1
Online ISBN: 978-3-642-99234-6
eBook Packages: Springer Book Archive