Description
Book SynopsisThe convolution transform includes as special cases such familiar transforms as the Laplace, Fourier-sine, Fourier-cosine, Hankel, Meier, and Weierstrass (or Gauss). As a consequence any general theory about it may serve as a unifying influence for the evergrowing literature concerning integral transforms. Originally published in 1955. The Prince
Table of Contents*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*CHAPTER I. Introduction, pg. 1*CHAPTER II. The Finite Kernels, pg. 17*CHAPTER III. The Non-Finite Kernels, pg. 37*CHAPTER IV. Variation Diminishing Transforms, pg. 83*CHAPTER V. Asymptotic Behaviour of Kernels, pg. 108*CHAPTER VI. Real Inversion Theory, pg. 120*CHAPTER VII. Representation Theory, pg. 146*CHAPTER VIII. The Weierstrass Transform, pg. 170*CHAPTER IX. Complex Inversion Theory, pg. 210*CHAPTER X. Miscellaneous Topics, pg. 240*Bibliography, pg. 261*Symbols and Notations, pg. 265*Index, pg. 266
