CONVOLUTION TRANSFORM (Dover Books on Mathematics)

Book Details

• Author: Isidore Isaac Hirschman

• Brand: Dover

• Binding: Paperback

• Number of Pages: 288

• Release Date: 11-03-2005

• ISBN: 9780486441757

• Package Dimensions: 8.5 x 5.4 x 0.7 inches

• Languages: English

About The Book

Isidore Isaac Hirschman's "The Theory of General Convolution Transforms" presents an in-depth exploration of the interplay between differential operators and integral transforms, two foundational concepts in advanced mathematical analysis. Targeted towards upper-level undergraduate and graduate students, this text bridges the gap between real and complex variable theory, offering a comprehensive study of a variety of integral transforms and their applications.

Key topics covered include:

• Finite and Non-Finite Kernels: Exploring both types of kernels and their respective properties.

• Variation Diminishing Transforms: A fundamental concept in harmonic analysis with various applications.

• Asymptotic Behavior of Kernels: Delving into the behavior of kernels in extreme cases.

• Real and Complex Inversion Theory: Discussing the theory behind the inversion of transforms in both real and complex domains.

• Representation Theory and Weierstrass Transform: Examining these advanced topics within the context of convolution transforms.

This advanced text is ideal for those familiar with real and complex variable theory, but it remains accessible to readers who possess a solid foundation in mathematical analysis. Hirschman's clarity and precise approach make this book an indispensable resource for students of mathematics, particularly those interested in operator theory and transform theory.