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Mellin Pseudodifferential Operators with Operator Symbols and its Applications

Vladimir Samuilovich Rabinovich

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Abstract

Mellin pseudodifferential operators based on Mellin transform naturally arise in the theory of boundary value problems on manifolds with singularities (see the pioneering paper [1], the recent monographs [2]–[3] and papers [4]–[8]).

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What this paper is about

Mellin pseudodifferential operators based on Mellin transform naturally arise in the theory of boundary value problems on manifolds with singularities (see the pioneering paper [1], the recent monographs [2]–[3] and papers [4]–[8]).

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Available abstract

Mellin pseudodifferential operators based on Mellin transform naturally arise in the theory of boundary value problems on manifolds with singularities (see the pioneering paper [1], the recent monographs [2]–[3] and papers [4]–[8]).

Key concepts: Mellin transform, Pseudodifferential operators, Gravitational singularity, Mellin inversion theorem, Mathematics, Operator (biology), Algebra over a field, Boundary (topology)

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