Spectral decomposition of Green’s integrals and existence of W s,2 -solutions of matrix factorizations of the Laplace operator in a ball
Rendiconti del Seminario Matematico della Università di Padova, Tome 96 (1996), pp. 237-256 
@article{RSMUP_1996__96__237_0,
     author = {Shlapunov, A.},
     title = {Spectral decomposition of {Green{\textquoteright}s} integrals and existence of $W^{s,2}$-solutions of matrix factorizations of the {Laplace} operator in a ball},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {237--256},
     year = {1996},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {96},
     mrnumber = {1438300},
     zbl = {0955.35017},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_1996__96__237_0/}
}
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Shlapunov, A. Spectral decomposition of Green’s integrals and existence of $W^{s,2}$-solutions of matrix factorizations of the Laplace operator in a ball. Rendiconti del Seminario Matematico della Università di Padova, Tome 96 (1996), pp. 237-256. https://www.numdam.org/item/RSMUP_1996__96__237_0/

[AnNa] A. Andreotti - M. Nacinovich, On analytic and C∞ Poincaré Lemma, Mathematical Analysis and Applications. Advances in Math. suppl. studies, 7A (81), pp. 41-93 | Zbl

[Bj] J.E. Bjork, Rings of Differential Operators, North-Holland, New York (1979). | Zbl | MR

[Hö] L. Hörmander, L2-estimates and existence theorems for the ∂ operator, Acta Math., 113, 1-2 (1965), pp. 89-152. | Zbl

[Ke] N. Kerzman, Hölder and Lp-estimates for solutions of ∂0 = f, Comm. Pure Appl. Math., 24, 3 (1971), pp. 89-152.

[Ky] A.M. Kytmanov, The Bochner-Martinelli Integral, and its Applications, Nauka, Siberian branch Novosibirsk (1992); English transl. in Birkhäuser, Berlin (1995). | Zbl | MR

[NaSh] M. Nacinovich - A.A. Shlapunov, On iterations of the Green integrals and their applications to elliptic differential complexes, Prepr. Sezione di Analisi e Probabilità, Dipartimento di Matematica, Universita di Pisa, 2.170.805 (1994); Mathematiche Nachrichten (1995), to appear. | Zbl | MR

[ReSz] S. Rempel - B.-W. Shulze, Index Theory of Elliptic Boundary Problems, Akademie-Verlag, Berlin (1982). | Zbl | MR

[Rom1] A.V. Romanov, Spectral analysis of Martinelli-Bochner integral for ball in Cn, and its application, Functional. Anal. i Prilozhen., 12, 3 (1978); English transl. in Funct. Anal. Appl, 12, 3 (1978). | Zbl | MR

[Rom1] A.V. Romanov, Convergence of iterations of Bochner-Martinelli operator, and the Cauchy-Riemann system, Dokl. Akad. Nauk SSSR, 2424 (1978), pp. 780-783; English transl. in Soviet Math. Dokl., 19, 5 (1978). | Zbl | MR

[Sh1] A.A. Shlapunov, On the Cauchy problem for Laplace's operator, Siberian Math. Journ., 33 (1992-93), pp. 205-215. | Zbl | MR

[Sh2] A.A. Shlapunov, On iterations of Green type integrals for matrix factorizations of the Laplace operator, Rend. Mat. Ace. Lincei, 9, 2 (1994), pp. 103-116. | Zbl | MR

[ShTa] A.A. Shlapunov - N.N. Tarkhanov, Bases with double orthogonality in the Cauchy problem for systems with injective symbol, The Proceedings of the London Math. Soc. (3), 71 (1995). | Zbl | MR

[Ta] N.N. Tarkhanov, Laurent Series for Solutions of Elliptic Systems, Nauka, Novosibirsk (1991) (in Russian). | Zbl | MR

[Tr] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, VEB Wiss. Verlag, Berlin (1978). | Zbl | MR

[VI] V.S. Vladimirov, Equations of Mathematical Physics, Nauka, Moscow (1988); English transl. in M. Dekker, New York (1971). | Zbl