| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 1, 2017
Hamiltonian Systems
|
|
|---|---|---|
| Page(s) | 115 - 140 | |
| DOI | https://doi.org/10.1051/mmnp/201712107 | |
| Published online | 03 February 2017 | |
Nonharmonic Analysis of Boundary Value Problems Without WZ Condition
1
Department of Mathematics, Imperial College London, 180 Queen’s Gate, London
SW7 2AZ, United Kingdom
2
Al–Farabi Kazakh National University, 71 al–Farabi ave., Almaty, 050040, Kazakhstan
* Corresponding author. E-mail: m.ruzhansky@imperial.ac.uk
In this work we continue our research on nonharmonic analysis of boundary value problems as initiated in [8]. There, we assumed that the eigenfunctions of the model operator on which the construction is based do not have zeros. In this paper we have weakened this condition extending the applicability of the developed pseudo-differential analysis. Also, we do not assume that the underlying set Ω is bounded.
Mathematics Subject Classification: 58J40 / 35S05 / 35S30 / 42B05
Key words: pseudo-differential operators / boundary value problems / Fourier series / non-local boundary condition / nonharmonic analysis
© EDP Sciences, 2017
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