Author | Kytmanov, Alexander M. author |
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Title | The Bochner-Martinelli Integral and Its Applications [electronic resource] / by Alexander M. Kytmanov |
Imprint | Basel : Birkhรคuser Basel, 1995 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-9094-6 |
Descript | XII, 308 p. online resource |
1 The Bochner-Martinelli Integral -- 1 The Bochner-Martinelli integral representation -- 2 Boundary behavior -- 3 Jump theorems -- 4 Boundary behavior of derivatives -- 5 The Bochner-Martinelli integral in the ball -- 2 CR-Functions Given on a Hypersurface -- 6 Analytic representation of CR-functions -- 7 The Hartogs-Bochner extension theorem -- 8 Holomorphic extension from a part of the boundary -- 9 Removable singularities of CR-functions -- 10 Analogue of Riemannโs theorem for CR-functions -- 3 Distributions Given on a Hypersurface -- 11 Harmonic representation of distributions -- 12 Multiplication of distributions -- 13 The generalized Fourier transform -- 4 The $$\bar \partial $$-Neumann Problem -- 14 Statement of the $$\bar \partial $$-Neumann problem -- 15 Functions represented by Bochner-Martinelli -- 16 Iterates of the Bochner-Martinelli integral -- 17 Uniqueness theorem for the $$\bar \partial $$-Neumann problem -- 18 Solvability of the $$\bar \partial $$-Neumann problem -- 19 Integral representation in the ball -- 5 Some Applications and Open Problems -- 20 Multidimensional logarithmic residues -- 21 Multidimensional analogues of Carlemanโs formula -- 22 The Poincarรฉ-Bertrand formula -- 23 Problems on holomorphic extension -- 6 Holomorphic Extension of Functions -- 24 Holomorphic extension of hyperfunctions -- 25 Holomorphic extension of functions -- 26 The Cauchy problem for holomorphic functions