Fourier Analysis in Several Complex Variables (Dover Books on Mathematics)
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- Synopsis
- Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations.The three-part treatment begins by establishing the quotient structure theorem or fundamental principle of Fourier analysis. Topics include the geometric structure of ideals and modules, quantitative estimates, and examples in which the theory can be applied. The second part focuses on applications to partial differential equations and covers the solution of homogeneous and inhomogeneous systems, existence and uniqueness questions related to Cauchy's problem, and boundary value problems for solutions in a cube. The final section explores functions and their role in Fourier representation. Each chapter begins with a detailed summary, and most conclude with general remarks, bibliographical remarks, and problems for further study.
- Copyright:
- 1998
Book Details
- Book Quality:
- Publisher Quality
- Book Size:
- 528 Pages
- ISBN-13:
- 9780486153032
- Related ISBNs:
- 9780486449753
- Publisher:
- Dover Publications
- Date of Addition:
- 01/17/19
- Copyrighted By:
- Leon Ehrenpreis
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.