Titlebook: Ramified Integrals, Singularities and Lacunas; V. A. Vassiliev Book 1995 Springer Science+Business Media Dordrecht 1995 Dimension.Potentia

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,Newton’s Potential of Algebraic Layers,By two celebrated theorems of Newton, a homogeneous spherical layer in Euclidean space does not attract bodies inside the sphere, and exterior bodies are attracted by it to the centre of the sphere as by the pointwise particle whose mass is equal to the mass of the entire sphere

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,Calculation of Local Petrovski? Cycles and Enumeration of Local Lacunas Close to Real Function Singl lacunas close to many singularities of wave fronts. All the ingredients of the lacuna problem for such operators are reformulated in terms of the singularity theory of functions, so that this chapter can be read independently of the previous one

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https://doi.org/10.1007/978-94-011-0213-1Dimension; Potential theory; algebraic geometry; integral transform; manifold; operational calculus; singu

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,Lacunas and the Local Petrovski? Condition for Hyperbolic Differential Operators with Constant Coefc (respectively, C∞-smooth) function on the whole neighbourhood of our point (respectively, on the closure of this local component); in this case the component is called a . of our operator. The main problem arizing there is to give geometrical or topological criteria recognizing the sharpness of fronts in terms of their local shape

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