Integral Transforms

  • Edmundo Capelas de OliveiraEmail author
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 240)


In general, the problems that are presented are accompanied by an equation (system of equations) and, possibly, with conditions arising either from the geometry of the problem and/or from the physics of the problem, among others, the so-called boundary conditions and, in many cases, the initial condition (initial velocity), when the temporal variable is present.


  1. 1.
    Sneddon, I.N.: Fourier Transforms. Dover Publications, New York (1995)zbMATHGoogle Scholar
  2. 2.
    Debnath, L., Bhatta, D.: Integral Transform and Their Applications, 2nd edn. Chapman & Hall/CRC, Boca Raton (2007)zbMATHGoogle Scholar
  3. 3.
    Capelas de Oliveira, E., Rodrigues Jr., W.A.: Analytical Functions with Applications. Editora Livraria da Física, São Paulo (2005). (in Portuguese)Google Scholar
  4. 4.
    Edwards, H.M.: Riemann’s Zeta Function. Dover Publications Inc., Mineola, New York (1974)zbMATHGoogle Scholar
  5. 5.
    Capelas de Oliveira, E.: Special Functions and Applications, 2nd edn. Livraria Editora da Física, São Paulo (2012). (in Portuguese)Google Scholar
  6. 6.
    Prudnikov, A.P., Brychkov, YuA, Marichev, O.I.: Integral and Series (Elementary Functions). Gordon and Breach Science Publishers, London (1986)zbMATHGoogle Scholar
  7. 7.
    Figueiredo Camargo, R., Capelas de Oliveira, E.: Fractional Calculus. Editora Livraria da Física, São Paulo (2015). (in Portuguese)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.IMECCUniversidade Estadual de CampinasCampinasBrazil

Personalised recommendations