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Weighted Littlewood-Paley Theory and Exponential-Square Integrability (Lecture Notes in Mathematics)
Weighted Littlewood-Paley Theory and Exponential-Square Integrability (Lecture Notes in Mathematics) Summary:
Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn’t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications. NEWER EBOOKSSponsored LinksWeighted Littlewood-Paley Theory and Exponential-Square Integrability (Lecture Notes in Mathematics) Keywordsinfinite series functions applications orthogonality theory littlewood paley beginning 1980s non negative terms oscillatory discovered exponential square sharper discoveries methods consequences introduction well motivated previously suspected letting littlewood paley theory fourier analysis signal processing lecture notes integrability lecture exponential square integrability weighted littlewood paleyBookmark Weighted Littlewood-Paley Theory and Exponential-Square Integrability (Lecture Notes in Mathematics)Hyperlink code:
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