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Explorations in Harmonic Analysis: With Applications to Complex Function Theory and the Heisenberg Group
Steven G. Krantz
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Description for Explorations in Harmonic Analysis: With Applications to Complex Function Theory and the Heisenberg Group
hardcover. This text introduces modern harmonic analysis in the context in which it is actually applied, in particular through complex function theory and partial differential equations. Topics progress from harmonic analysis to Fourier transform to Heisenberg analysis. Series: Applied and Numerical Harmonic Analysis. Num Pages: 362 pages, 1 black & white tables, biography. BIC Classification: PBK. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 242 x 165 x 26. Weight in Grams: 700.
Harmonic analysis is a venerable part of modern mathematics. Its roots began, perhaps, with late eighteenth-century discussions of the wave equation. Using the method of separation of variables, it was realized that the equation could be solved with a data function of the form?(x)= sin jx for j? Z.Itwasnaturaltoask, using the philosophy of superposition, whether the equation could then be solved with data on the interval [0,?] consisting of a nite linear combinationof the sin jx. With an af rmative answer to that question, one is led to ask about in?nite linear combinations. This was an interesting venue in which ... Read more
Harmonic analysis is a venerable part of modern mathematics. Its roots began, perhaps, with late eighteenth-century discussions of the wave equation. Using the method of separation of variables, it was realized that the equation could be solved with a data function of the form?(x)= sin jx for j? Z.Itwasnaturaltoask, using the philosophy of superposition, whether the equation could then be solved with data on the interval [0,?] consisting of a nite linear combinationof the sin jx. With an af rmative answer to that question, one is led to ask about in?nite linear combinations. This was an interesting venue in which ... Read more
Product Details
Format
Hardback
Publication date
2009
Publisher
Birkhäuser United States
Number of pages
362
Condition
New
Series
Applied and Numerical Harmonic Analysis
Number of Pages
362
Place of Publication
Secaucus, United States
ISBN
9780817646684
SKU
V9780817646684
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Explorations in Harmonic Analysis: With Applications to Complex Function Theory and the Heisenberg Group
From the reviews: “This is an ambitious introduction to a particular direction in modern harmonic analysis. It presents harmonic analysis in vitro – in a context in which it is actually applied complex variables and partial differential equations. This will make the learning experience more meaningful for graduate students who are just beginning to forge a path of research.” ... Read more