The interplay between analysis on Lie groups and the theory of special functions is well known. This monograph deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. The main thrust of the book is to develop a concrete Littlewood-Paley-Stein theory for these expansions and use the theory to prove multiplier theorems. The questions of almost-everywhere and mean convergence of Bochner-Riesz means are also treated. Most of the results in this monograph appear for the first time in book form.
- 216 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Lectures on Hermite and Laguerre Expansions
About this book
Trusted by 375,005 students
Access to over 1.5 million titles for a fair monthly price.
Study more efficiently using our study tools.
Information
Table of contents
- Cover Page
- Half-title Page
- Title Page
- Copyright Page
- Dedication Page
- Contents
- Preface
- Acknowledgements
- Chapter 1: Hermite, Special Hermite and Laguerre Functions
- Chapter 2: Special Hermite Expansions
- Chapter 3: Multiple Hermite Expansions
- Chapter 4: Multipliers for Hermite Expansions
- Chapter 5: Hermite Expansions on 1R,
- Chapter 6: Laguerre Expansions
- Chapter 7: The Transplantation Theorems
- Bibliography
Frequently asked questions
Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn how to download books offline
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1.5 million books across 990+ topics, we’ve got you covered! Learn about our mission
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more about Read Aloud
Yes! You can use the Perlego app on both iOS and Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Yes, you can access Lectures on Hermite and Laguerre Expansions by Sundaram Thangavelu in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over 1.5 million books available in our catalogue for you to explore.