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Book Categories |
Ch. I | General regular and harmonic functions in real and complex Clifford analysis | 1 |
1 | Real and complex Clifford algebra | 1 |
2 | Cauchy integral formula of regular functions and Plemelj formula of Cauchy type integrals in real Clifford analysis | 4 |
3 | Quasi-permutations and generalized regular functions in real Clifford analysis | 15 |
4 | The chain rule and the differentiation rules of new hypercomplex differential functions in Clifford analysis | 24 |
5 | Regular and harmonic functions in complex Clifford analysis | 30 |
Ch. II | Boundary value problems of generalized regular functions and hyperbolic harmonic functions in real Clifford analysis | 41 |
1 | The Dirichlet problem of regular functions for a ball in real Clifford analysis | 41 |
2 | The mixed boundary value problem for generalized regular functions in real Clifford analysis | 49 |
3 | A nonlinear boundary value problem with Haseman shift for regular functions in real Clifford analysis | 60 |
4 | The Dirichlet problem of hyperbolic harmonic functions in real Clifford analysis | 68 |
Ch. III | Nonlinear boundary value problems for generalized biregular functions in real Clifford analysis | 75 |
1 | A nonlinear boundary value problem for biregular functions in real Clifford analysis | 75 |
2 | Nonlinear boundary value problems for generalized biregular functions with Haseman shift in real Clifford analysis | 87 |
3 | A nonlinear boundary value problem for biregular function vectors in real Clifford analysis | 95 |
Ch. IV | Boundary value problems of second order partial differential equations for classical domains in real Clifford analysis | 105 |
1 | Harmonic analysis in classical domains for several complex variables | 105 |
2 | The Dirichlet problem of second order complex partial differential equations for classical domains in complex Clifford analysis | 110 |
3 | A pseudo-modified boundary value problem of second order real partial differential equations of a hyperball in real Clifford analysis | 117 |
Ch. V | Integrals dependent on parameters and singular integral equations in real Clifford analysis | 125 |
1 | Cauchy's estimates of integrals with one parameter in real Clifford analysis | 125 |
2 | Three kinds of Poincare-Bertrand transformation formulas of singular integrals with a Cauchy's kernel in real Clifford analysis | 134 |
3 | The composition formula and inverse formula of singular integrals with a Cauchy's kernel in real Clifford analysis | 145 |
4 | The Fredholm theory of a kind of singular integral equations in real Clifford analysis | 148 |
5 | Generalized integrals and integral equations in real Clifford analysis | 153 |
Ch. VI | Several kinds of high order singular integrals and differential integral equations in real Clifford analysis | 159 |
1 | The Hadamard principal value and differential formulas of high order singular integrals with one singular point in real Clifford analysis | 159 |
2 | The Holder continuity of high order singular integrals in real Clifford analysis | 179 |
3 | Nonlinear differential integral equations including three kinds of high order singular integrals of Quasi-Bochner-Martinelli type in real Clifford analysis | 184 |
4 | A kind of high order singular integrals of Quasi-Bochner-Martinelli type with two singular points and Poincare-Bertrand permutation formulas in real Clifford analysis | 189 |
Ch. VII | Relation between Clifford analysis and elliptic equations | 197 |
1 | Oblique derivative problems for uniformly elliptic equations of second order | 197 |
2 | Boundary value problems of degenerate elliptic equations of second order | 209 |
3 | The Schwarz formulas and Dirichlet problem in Halfspace and in a ball | 217 |
4 | Oblique derivative problems for regular functions and elliptic systems in Clifford analysis | 228 |
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Add Real and Complex Clifford Analysis, Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the authors introduce many properties of regular functions and generalized regular functions in re, Real and Complex Clifford Analysis to the inventory that you are selling on WonderClubX
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Add Real and Complex Clifford Analysis, Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the authors introduce many properties of regular functions and generalized regular functions in re, Real and Complex Clifford Analysis to your collection on WonderClub |