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Analog of the F. and M. Riesz theorem for A-analytic functions
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E. V. Arbuzov
Veröffentlicht/Copyright:
7. September 2013
Abstract
- The analog of the F. and M. Riesz theorem is proved for functions satisfying the operator equation of the Beltrami type. Such functions are called A-analytic. The interest to this class of functions is stimulated by the fact that they can be used for solving a wide class of boundary-value problems for second order elliptic systems of equations and integral geometry problems on the plane
Published Online: 2013-09-07
Published in Print: 2000-12
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- CONTENTS
- Finding a Riemannian metric in the case when some of the components of a curvature’s tensor don’t depend on one of the variables
- Direct and inverse problems for kinetic equations
- Analog of the F. and M. Riesz theorem for A-analytic functions
- Location of a gas source in a geophysical problem
- Tikhonov regularization for an integral equation of the first kind with logarithmic kernel
- Identification of heat transfer functions in continuous casting of steel by regularization
Artikel in diesem Heft
- CONTENTS
- Finding a Riemannian metric in the case when some of the components of a curvature’s tensor don’t depend on one of the variables
- Direct and inverse problems for kinetic equations
- Analog of the F. and M. Riesz theorem for A-analytic functions
- Location of a gas source in a geophysical problem
- Tikhonov regularization for an integral equation of the first kind with logarithmic kernel
- Identification of heat transfer functions in continuous casting of steel by regularization
