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AuthorDimovski, Ivan H. author
TitleConvolutional Calculus [electronic resource] / by Ivan H. Dimovski
ImprintDordrecht : Springer Netherlands, 1990
Connect tohttp://dx.doi.org/10.1007/978-94-009-0527-6
Descript 208 p. online resource

CONTENT

1. Convolutions of Linear Operators. Multipliers and Multiplier Quotients -- 1.1. The Duhamel Convolution -- 1.2. The Mikusi?ski Ring -- 1.3. Convolutions of Linear Endomorphisms -- 1.4. The Multiplier Quotients Ring of an Annihilators-free Convolutional Algebra -- 2. Convolutions of General Integration Operators. Applications -- 2.1. Convolutions of the Linear Right Inverses of the Differentiation Operator -- 2.2. An Application of the Convolutional Approach to Dirichlet Expansions of Locally Holomorphic Functions -- 2.3. A Convolution for the General Right Inverse of the Backward Shift Operator in Spaces of Locally Holomorphic Functions -- 2.4. Convolutions and Commutants of the Gelfond-Leontiev Integration Operator and of Its Integer Powers -- 2.5. Operational Calculi for the Bernoulli Integration Operator -- 3. Convolutions Connected with Second-Order Linear Differential Operators -- 3.1. Convolutions of Right Inverse Operators of the Square of the Differentiation -- 3.2. Convolutions of Initial Value Right Inverses of Linear Second-Order Differential Operators -- 3.3. Convolutions of Boundary Value Right Inverses of Linear Second-Order Differential Operators -- 3.4. Applications of Convolutions to Non-Local Boundary Value Problems -- References -- Authors index


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