The research of differential equations in domain names and on manifolds with singularities belongs to the most streams of modern advancements in utilized and natural arithmetic. The functions and urban types from engineering and physics are frequently classical however the sleek constitution calculus was once in simple terms attainable because the achievements of pseudo-differential operators. This ended in deep connections with index idea, topology and mathematical physics.
The current booklet is dedicated to elliptic partial differential equations within the framework of pseudo-differential operators. the 1st bankruptcy comprises the Mellin pseudo-differential calculus on R
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