Riemann’s Boundary Problem with Infinite Index

This title is printed to order. This book may have been self-published. If so, we cannot guarantee the quality of the content. In the main most books will have gone through the editing process however some may not. We therefore suggest that you be aware of this before ordering this book. If in doubt check either the author or publisher’s details as we are unable to accept any returns unless they are faulty. Please contact us if you have any questions.

The book gives the first complete presentation of two closely connected subjects that are now used in various branches of complex analysis. In the first part the theory of analytic functions of completely regular growth in an angle is developed. Being a natural extension of the classical theory of entire functions of completely regular growth, this theory possesses principally new features due to the influence of boundary values on the sides of the angle. The second part contains the theory of the Riemann boundary value problem with power type infinite index. Using the results obtained in the first part of the book, the author gives complete and efficient solutions to the problem in various natural classes of analytic functions. The solution to the well-known Paley problem on the growth of entire functions of finite order is given as one possible application.