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Hardback or Cased Book. Condition: New. Explorations in Harmonic Analysis: With Applications to Complex Function Theory and the Heisenberg Group 1.55. Book.
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Add to basketHardcover. Condition: Brand New. 360 pages. 9.50x6.50x1.00 inches. In Stock.
Published by SPRINGER NATURE Mai 2009, 2009
ISBN 10: 081764668X ISBN 13: 9780817646684
Language: English
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Add to basketBuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis. 362 pp. Englisch.
Published by Birkhauser Boston Inc, 2009
ISBN 10: 081764668X ISBN 13: 9780817646684
Language: English
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Add to basketHardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 734.
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Add to basketBuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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 physical reasoning interacted with mathematical reasoning. Physical intuition certainly suggests that any continuous function can be a data function for the wave equation. So one is led to ask whether any continuous can be expressed as an (in nite) superposition of sine functions. Thus was born the fundamental question of Fourier series. No less an eminence gris than Leonhard Euler argued against the proposition.