TitleLinear and Complex Analysis Problem Book 3 [electronic resource] : Part II / edited by Victor P. Havin, Nikolai K. Nikolski
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1994
Connect tohttp://dx.doi.org/10.1007/BFb0101060
Descript XXII, 514 p. online resource

SUMMARY

The 2-volume-book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and metho- dological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved!


CONTENT

Spectral analysis and synthesis -- Approximation and capacities -- Orthogonal polynomials -- Uniqueness, moments, normality -- Interpolation, bases, multipliers -- Entire and subharmonic functions. -- ?n -- Geometric function theory -- Holomorphic dynamics -- Miscellaneous problems


SUBJECT

  1. Mathematics
  2. Topological groups
  3. Lie groups
  4. Mathematical analysis
  5. Analysis (Mathematics)
  6. Functions of complex variables
  7. Potential theory (Mathematics)
  8. Mathematics
  9. Analysis
  10. Functions of a Complex Variable
  11. Topological Groups
  12. Lie Groups
  13. Potential Theory