Interpolation on plane sets in C2

D. E. Papush; A. M. Russakovskii

Annales de la Faculté des sciences de Toulouse : Mathématiques (1992)

  • Volume: 1, Issue: 3, page 337-362
  • ISSN: 0240-2963

How to cite

top

Papush, D. E., and Russakovskii, A. M.. "Interpolation on plane sets in C2." Annales de la Faculté des sciences de Toulouse : Mathématiques 1.3 (1992): 337-362. <http://eudml.org/doc/73307>.

@article{Papush1992,
author = {Papush, D. E., Russakovskii, A. M.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {holomorphic functions; analytic varieties; growth estimates; interpolatory divisors},
language = {eng},
number = {3},
pages = {337-362},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Interpolation on plane sets in C2},
url = {http://eudml.org/doc/73307},
volume = {1},
year = {1992},
}

TY - JOUR
AU - Papush, D. E.
AU - Russakovskii, A. M.
TI - Interpolation on plane sets in C2
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1992
PB - UNIVERSITE PAUL SABATIER
VL - 1
IS - 3
SP - 337
EP - 362
LA - eng
KW - holomorphic functions; analytic varieties; growth estimates; interpolatory divisors
UR - http://eudml.org/doc/73307
ER -

References

top
  1. [Az] Azarin ( V.S.) .- On asymptotic behavior of subharmonic functions of finite order, Mat. Sb., 108 (1979) pp. 147-167. Zbl0398.31004MR525835
  2. [BT1] Berenstein ( C.A.) and Taylor ( B.A.) .— Interpolation problems in CN with applications to harmonic analysis, J. Anal. Math., 38 (1980) pp. 188-254. Zbl0464.42003MR600786
  3. [BT2] Berenstein ( C.A.) and Taylor ( B.A.) .- On the geometry of interpolating varieties, Lect. Notes in Math., Springer-Verlag, 919 (1982) pp. 1-25. Zbl0484.32004MR658877
  4. [Gr] Grishin ( A.F.) . — On sets of regular growth of entire functions, I, Theor. Funk., Funk. Anal. i Ih Pril., 40 (1983) pp 36-47. Zbl0601.30036MR738442
  5. [GrRu] Grishin ( A.F.) and Russakovskii ( A.M.) .— Free interpolation by entire functions, Theor. Funk., Funk. Anal i Ih Pril., 44 (1985) pp. 32-42. Zbl0577.30031MR800805
  6. [Gru] Gruman ( L.) .- The regularity of growth of entire functions whose zeros are hyperplanes, Ark. Mat., 10 (1972) pp. 23-31. Zbl0235.32001MR313533
  7. [Hö] Hörmander ( L.) .— An introduction to complex analysis in several variables, North Holland (1973). Zbl0271.32001MR344507
  8. [LGru] Lelong ( P.) and Gruman ( L.) .- Entire functions of several complex variables, Springer-Verlag (1989). Zbl0583.32001
  9. [Pa1] Papush ( D.E.) . — On interpolation on discrete sets in CN, Theor. Funk., Funk. Anal. i Ih Pril., 55 (1991) pp. 113-124. Zbl0752.32001MR1219945
  10. [Pa2] Papush ( D.E.) .- Entire functions of several variables with a regular set of " plane " zeros, Sib. Math. J., 32 (1991) pp. 120-130. Zbl0737.32003MR1138447
  11. [Pa3] Papush ( D.E.) . — On the growth of entire functions with "plane" zeros, Theor. Funk., Funk. Anal. i Ih Pril., 48 (1987) pp. 117-125. Zbl0636.32001MR916467
  12. [Ro1] Ronkin ( L.I.) .- On extension with estimates of functions holomorphic on a zero set of a polynomial, Theor. Funk., Funk. Anal. i Ih Pril., 36 (1981) pp. 89-103. Zbl0509.32005MR645312
  13. [Ro2] Ronkin ( L.I.) .- On extention with estimates of functions holomorphic on a zero set of a pseudopolynomial, Sib. Math. J., 24 (1983) pp. 150-163. Zbl0525.32015MR713592
  14. [Ro3] Ronkin ( L.I.) .— Introduction to the theory of entire functions of several variables, Transl. of Math. Monographs, V. 44, AMS (1974). Zbl0286.32004MR346175
  15. [Ro4] Ronkin ( L.I.) .— Entire functions, Encyclopaedia of Mathematical Sciences. Several Complex VariablesIII, Springer-Verlag (1990). 
  16. [RORu] Ronkin ( L.I.) and Russakovskii ( A.M.) .- On extension with estimates of functions holomorphic on an algebraic set, Ann. Pol. Math., 46 (1985) pp. 403-431. Zbl0604.32002MR841846
  17. [Ru] Russakovskii ( A.M.) .— Extension with estimates from analytic sets of codimension 1, Theor. Funk., Funk. Anal. i Ih Pril., 51 (1989) pp. 88-94. Zbl0698.32009MR1009150
  18. [Rud] Rudin ( W.) .— Function theory in the unit ball of CN, Springer-Verlag, New York (1980). Zbl0495.32001MR601594

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.