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In the recent half-century, many mathematicians have investigated various problems on several equations of mixed type and obtained interesting results, with important applications to gas dynamics. However, the Tricomi problem of general mixed type equations of second order with parabolic degeneracy has not been completely solved, particularly the Tricomi and Frankl problems for general Chaplygin equation in multiply connected domains posed by L Bers, and the existence, regularity of solutions of the above problems for mixed equations with non-smooth degenerate curve in several domains posed b

Differential equations, Elliptic. --- Differential equations, Hyperbolic. --- Differential equations, Partial. --- Boundary value problems.

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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 real Clifford analysis, as well as harmonic functions in complex Clifford analysis. It covers important developments in handling the incommutativity of multiplication in Clifford algebra, the definitions and computations of high-order singular integrals, boundary value problems, and so on. In addition, the book considers harmonic analysis and boundary value problems in four kinds of characteristic fields proposed by Luogeng Hua for complex analysis of several variables. The great majority of the contents originate in the authors’ investigations, and this new monograph will be interesting for researchers studying the theory of functions. Audience This book is intended for mathematicians studying function theory.

Clifford algebras. --- Functions of complex variables. --- Differential equations, Partial. --- Integral equations. --- Equations, Integral --- Functional equations --- Functional analysis --- Complex variables --- Elliptic functions --- Functions of real variables --- Partial differential equations --- Geometric algebras --- Algebras, Linear --- Mathematics. --- Differential equations, partial. --- Matrix theory. --- Real Functions. --- Several Complex Variables and Analytic Spaces. --- Partial Differential Equations. --- Integral Equations. --- Linear and Multilinear Algebras, Matrix Theory. --- Math --- Science --- Functions of real variables. --- Partial differential equations. --- Algebra. --- Mathematics --- Mathematical analysis --- Real variables --- Functions of complex variables