On the canonical development of Parseval formulas for singular differential operators

Robert W. Carroll

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1982)

  • Volume: 72, Issue: 2, page 65-70
  • ISSN: 0392-7881

How to cite

top

Carroll, Robert W.. "On the canonical development of Parseval formulas for singular differential operators." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 72.2 (1982): 65-70. <http://eudml.org/doc/288969>.

@article{Carroll1982,
author = {Carroll, Robert W.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {65-70},
publisher = {Accademia Nazionale dei Lincei},
title = {On the canonical development of Parseval formulas for singular differential operators},
url = {http://eudml.org/doc/288969},
volume = {72},
year = {1982},
}

TY - JOUR
AU - Carroll, Robert W.
TI - On the canonical development of Parseval formulas for singular differential operators
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1982/2//
PB - Accademia Nazionale dei Lincei
VL - 72
IS - 2
SP - 65
EP - 70
LA - eng
UR - http://eudml.org/doc/288969
ER -

References

top
  1. Carroll, R. (1979) - Transmutation and operator differential equations, «Notas de Matematica», 67, North-Holland, Amsterdam. Zbl0416.35021
  2. Carroll, R. (1979) - Transmutation, Parseval formulas, and generalized spectral functions, «Notices Amer. Math. Soc.», Aug., A434 - Transmutation, generalized translation, and transform theory, I and II, Osaka Jour. Math., to appear. 
  3. Carroll, R. (1979) - Some remarks on transmutation, «Applicable Anal.», 9, 291-294. Zbl0435.34010
  4. Carroll, R. - Transmutation, scattering theory, and special functions, North-Holland, Amsterdam, 1982. 
  5. Carroll, R. (1981) - Remarks on the Gelfand-Levitan and Marčenko equations, «Applicable Anal.», 7, 153-157. Zbl0501.34025
  6. Carroll, R. - The Gelfand-Levitan and Marčenko equations via transmutation, «Rocky Mount. Jour. Math.», 12 (1982), 393-427. 
  7. Carroll, R. - Some remarks on the generalized Gelfand-Levitan equation, «Jour. Math. Anal. Appl.», to appear. 
  8. Carroll, R. (1981) - A survey of some recent results in transmutation, «Spectral Theory of Differential Operators», North-Holland, pp. 81-92. 
  9. Carroll, R. - Elliptic transmutation, I, «Proc. Royal Soc.»Edinburgh, 91A (1982), 315-334. 
  10. Carroll, R. (1981) - Some remarks on singular pseudodifferential operators, «Comm. Partial Diff. Eqs.», 6 (12), 1907-1927. 
  11. Carroll, R. - Some inversion theorems of Fourier type, «Rev. Roumaine Math. Pures Appl.», to appear. 
  12. Carroll, R. - On the characterization of transmutations, «Anais Acad. Brasil. Ciencias», 54 (1982), 271-280. 
  13. Carroll, R. and Gilbert, J. (1981) - Scattering techniques in transmutation and some connection formulas for special functions, «Proc. Japan Acad.», 57, 34-37. Zbl0477.34020
  14. Carroll, R. and Gilbert, J. (1981) - Remarks on transmutation, scattering theory, and special functions, «Math Annalen», 258, 39-54. Zbl0457.33005MR641667DOI10.1007/BF01450345
  15. Carroll, R. and Santosa, F. (1981) - Résolution d'un problème inverse qui détermine complètement les données géophysiques, «C. R. Acad. Sci. Paris», 292, 23-26. Zbl0545.35091
  16. Carroll, R. and Santosa, F. (1981) - Scattering techniques for a one dimensional inverse problem in geophysics, «Math. Methods Appl. Sci.», 3, 145-171. Zbl0456.73086
  17. Chebli, H. (1979) - Théorème de Paley-Wiener associé à un opérateur différentiel singulier sur ( 0 , ) , «Jour. Math. Pures Appl.», 58, 1-19. Zbl0362.34019
  18. Flensted-Jensen, M. (1972) - Paley-Wiener type theorems for a differential operator connected with symmetric spaces, «Ark Math.», 10, 143-162. Zbl0233.42012
  19. Gasymov, M. (1975) - The expansion in eigenfunctions for a nonselfadjoint second order differential operator with a singularity at zero. «Trudy Let. Šk. Spekt. Teorii Oper.»..., Izd. Aim, Baku, pp. 20-45. 
  20. Koornwinder, T. (1975) - A new proof of a Paley-Wiener type theorem for the Jacobi transform, «Ark. Mat.», 13, 145-159. Zbl0303.42022
  21. Levitan, B. (1973) - The theory of generalized translation operators, «Izd. Nauka», Moscow. 
  22. Lions, J. (1956) - Opérateurs de Delsarte et problèmes mixtes, «Bull. Soc. Math. France», 84, 9-95. Zbl0075.10804
  23. Marcenko, V. (1977) - Sturm-Liouville operators and their applications, «Izd. Nauk». Dumka, Kiev. 
  24. Siersma, J. (1979) - On a class of singular Cauchy problems, «Thesis», Groningen. 
  25. Trimeche, K. (1981) - Transformation intégrale de Weyl et théorème de Paley-Wiener associés à un opérateur différentiel singulier sur ( 0 , ) , «Jour. Math. Pures Appl.», 60, 51-98. Zbl0416.44002

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.