References
- Grudsky S, Tarkhanov N. A note on Muskhelishvili--Vekua reduction. In: Complex analysis and dynamical systems V. Contemporary mathematics. Vol. 591. Providence (RI): American Mathematical Society; 2013. p. 113–126.
- Goluzin GM, Krylov VI. Verallgemeinerung einer Formel von Carleman und ihre Anwendung auf analytische Fortsetzung. Mat Sb. 1933;40(2):144–149.
- Carleman T. Les fonctions quasianalytiques. Paris: Gauthier-Villars; 1926.
- Videnskii IV, Gavurina EM, Khavin VP. Analogues of the Carleman--Goluzin--Krylov interpolation formula. In: Operator theory and function theory. Vol. 1. Leningrad University Press; 1983. p. 21–32.
- Aizenberg L. Carleman’s formulas in complex analysis. Dordrecht (NL): Kluwer Academic Publishers; 1993.
- Bart VA, Khavin VP. The Szegö--Kolmogorov--Krein theorem on weighted trigonometric approximation and Carleman type formulas. Ukrainean Math J. 1994;46(1):100–127.
- Videnskii I. Carleman formula for some spaces of functions analytic in the disc and smooth in its closure. In: Operator theory: advances and applications. Vol. 113. Basel: Birkhäuser; 2000. p. 399–408.
- Tarkhanov N. The Cauchy problem for solutions of elliptic equations. Berlin: Akademie Verlag; 1995.
- Tarkhanov N. A simple numerical approach to the Riemann hypothesis. Centre de Recherches Mathématiques, CRM Proceedings and Lecture Notes. Vol. 55. Montreal; 2012, p. 21–32.
- Tarkhanov N. An explicit Carleman formula for the Dolbeault cohomology. J Siberian Federal Univ Math Phys. 2010;3(4):450–460.
- Fedchenko D, Shlapunov A. On the Cauchy problem for the Dolbeault complex in spaces of distributions. Complex Variables Elliptic Equ. 2013;58(11):1591–1614.
- Sundnes J, Lines GT, Cai X, et al. Computing the electrical activity in the heart. Berlin: Springer-Verlag; 2006.
- Alsaedy A, Tarkhanov N. A Hilbert boundary value problem for generalised Cauchy--Riemann equations. Adv Appl Clifford Algebras. 2016;26:21.
- Ikehata M. Two analytical formulae of the temperature inside a body by using partial lateral and initial data. Inverse Prob. 2009;25.
- Makhmudov K, Makhmudov O, Tarkhanov N. A nonstandard Cauchy problem for the heat equation. In: Proceedings of the Conference Current Problems of Analysis 2016 Apr 22--23, University of Karshi, Uzbekistan; 2016. p. 143–146.
- Golusin GM. Geometric theory of functions of a complex variable. Providence (RI): American Mathematical Society; 1969. p. 676.
- David G. Courbes corde-arc et espaces de Hardy généralisés. Ann l’Institut Fourier. 1982;32(3):227–239.
- Aizenberg L. Carleman’s formulas and conditions of analytic extendability. Banach Center Publ. 1995;31:27–34.
- Aizenberg L, Adamchik V, Levit VE. One computational approach in support of the Riemann hypothesis. Comput Math Appl. 1999;37:87–94.
- Koppelman W. The Cauchy integral for differential forms. Bull Amer Math Soc. 1967;73(4):554–556.
- Aizenberg LA, Dautov ShA. Differential forms orthogonal to holomorphic functions or forms, and their properties. Providence (RI): American Mathematical Society; 1983.
- Avantaggiati A. Internal and external first order boundary value problems on C1 domains. Pubblicazioni serie III. Vol. 215, Rome: IAC "Mauro Picone"; 1982. p. 19
- Makhmudov K, Makhmudov O, Tarkhanov N. Equations of Maxwell type. J Math Anal Appl. 2011;378(1):64–75.
- Stern I. Direct methods for generalized Cauchy--Riemann systems in the space. Complex Variables, Theory Appl. 1993;23:73–100.
- Straube EJ. Harmonic and analytic functions admitting a distribution boundary value. Ann Scuola Norm Super Pisa. 1984;11(4):559–591.
- Picone M, Fichera G. Neue funktional-analytische Grundlagen für die Existenzprobleme und Lösungsmethoden von Systemen linearer partieller Differentialgleichungen. Monatsh Math. 1950;54:188–209.
- Kupradze VD. Approximate solution of problems of mathematical physics. Uspekhi Mat Nauk. 1967;22(2):59–107.
- Kantorovich LV, Krylov VI. Approximate methods of higher analysis. New York (NY): Interscience Publishers Inc; 1958. p. 681.
- Lavrentiev MM, Romanov VG, Shishatskii SP. Ill-posed problems of mathematical physics and analysis. Moscow: Nauka; 1980.
- Landis EM, Oleynik OA. Generalised analyticity and related properties of solutions of elliptic and parabolic equations. Uspekhi Mat Nauk. 1974;29(2):190–215.
- Gelfand IM, Shilov GE. The Fourier transform of rapidly increasing functions und uniqueness of the Cauchy problem. Uspekhi Mat Nauk. 1953;8(6):3–54.
- Yarmukhamedov Sh. The Carleman function and the Cauchy problem for the Laplace equation. Siberian Math J. 2004;45(3):580–595.