Summability Kernels and Spectral Synthesis

  • Toru Maruyama
Part of the Monographs in Mathematical Economics book series (MOME, volume 2)


We have discussed the (C, 1)-summability of Fourier series in Chapter  2. We recapitulate this topic primarily in the framework of Fourier series in complex form.


  1. 1.
    Amann, H., Escher, J.: Analysis, I, II. Birkhäuser, Basel (2005, 2008) Google Scholar
  2. 2.
    Helson, H.: Harmonic Analysis. Wadsworth and Brooks, Belmont (1991) CrossRefGoogle Scholar
  3. 3.
    Katznelson, Y.: An Introduction to Harmonic Analysis, 3rd edn. Cambridge University Press, Cambridge (2004) Google Scholar
  4. 4.
    Kawata, T.: Ohyo Sugaku Gairon (Elements of Applied Mathematics). I, II, Iwanami Shoten, Tokyo (1950, 1952) (Originally published in Japanese) Google Scholar
  5. 5.
    Malliavin, P.: Integration and Probability. Springer, New York (1995) CrossRefGoogle Scholar
  6. 6.
    Maruyama, T.: Suri-keizaigaku no Hoho (Methods in Mathematical Economics). Sobunsha, Tokyo (1995) (Originally published in Japanese) Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Toru Maruyama
    • 1
  1. 1.Professor EmeritusKeio UniversityTokyoJapan

Personalised recommendations