عنوان

Convolutional Calculus

9400905270

9401067236

9789400905276

9789401067232

b592392

Convolutional Calculus

[Book]

by Ivan H. Dimovski.

Dordrecht

Springer Netherlands

1990

(208 pages)

Mathematics and Its Applications (East European Series),, 43.

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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Computer engineering.

Engineering.

Global analysis (Mathematics)

by Ivan H. Dimovski.

Ivan H Dimovski

[Book]

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