عنوان

Applied hyperfunction theory.

(Number (ISBN

9401125481

(Number (ISBN

9789401125482

Number

b595078

Title Proper

Applied hyperfunction theory.

General Material Designation

[Book]

First Statement of Responsibility

Isao Imai

Place of Publication, Distribution, etc.

[Place of publication not identified]

Name of Publisher, Distributor, etc.

Springer

Date of Publication, Distribution, etc.

2013

Text of Note

Series Editor's Preface. Preface. 1. Introduction. 2. Operations on Hyperfunctions. 3. Basic Hyperfunctions. 4. Hyperfunctions Depending on Parameters. 5. Fourier Transformation. 6. Fourier Transformation of Power-Type Hyperfunctions. 7. Upper (Lower)-Type Hyperfunctions. 8. Fourier Transforms - Existence and Regularity. 9. Fourier Transformation - Asymptotic Behaviour. 10. Periodic Hyperfunctions and Fourier Series. 11. Analytic Continuation and Projection of Hyperfunctions. 12. Products of Hyperfunctions. 13. Convolution of Hyperfunctions. 14. Convolution of Periodic Hyperfunctions. 15. Hilbert Transformation, Conjugate Hyperfunction. 16. Poisson-Schwarz Integration Formulae. 17. Integral Equations. 18. Laplace Transformation. Epilogue. References. Appendices A: Symbols. B: Functions, Hyperfunctions and Generating Functions. C: Special Functions. D: Power-Type Hyperfunctions with Negative Integer Power. E: Upper-Type and Lower-Type Hyperfunctions. F: Hyperfunctions and Generating Functions. G: Convolutions. H: Hilbert Transforms. I: Fourier Transforms. J: Laplace Transforms. K: Cosine Transforms and Sine Transforms. Index.

Class number

Book number

Isao Imai

Isao Imai

Electronic name

[Book]

Y