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1 
One and two weight theory in harmonic analysisScurry, James 19 February 2013 (has links)
This thesis studies several problems dealing with weighted inequalities and vectorvalued operators. A weight is a nonnegative locally integrable function, and weighted inequalities refers to studying a given operator's continuity from one weighted Lebesgue space to another. The case where the underlying measure of both Lebesgue spaces is given by the same weight is known as a one weight inequality and the case where the weights are different is called a two weight inequality. These types of inequalities appear naturally in harmonic analysis from attempts to extend classical results to function spaces where the underlying measure is not necessarily Lebesgue measure. For most operators from harmonic analysis, Muckenhoupt weights represent the class of weights for which a one weight inequality holds. Chapters II and III study questions involving these weights. In particular, Chapter II focuses on determining the sharp dependence of a vectorvalued singular integral operator's norm on a Muckenhoupt weight's characteristic; we determine that the vectorvalued operator recovers the scalar dependence. Chapter III presents material from a joint work with M. Lacey. Specifically, in this chapter we estimate the weaktype norms of a simple class of vectorvalued operators, but are unable to obtain a sharp result. The final two chapters consider two weight inequalities. Chapter IV characterizes the two weight inequality for a subset of the vectorvalued operators considered in Chapter III. The final chapter presents examples to argue there is no relationship between the Hilbert transform and the HardyLittlewood maximal operator in the two weight setting; the material is taken from a joint work with M. Reguera.

2 
The Bochner Identity in Harmonic AnalysisSmith, Zachary J. January 2007 (has links) (PDF)
No description available.

3 
The Bochner identity in harmonic analysis /Smith, Zachary J., January 2007 (has links) (PDF)
Thesis (M.A.) in MathematicsUniversity of Maine, 2007. / Includes vita. Includes bibliographical references (leaves 5759).

4 
The elliptic cylinder function of class K synthetic treatment and computation of tables /Butts, William Henry. January 1908 (has links)
Inaug.diss.Zürich. / "Literature": p. 29.

5 
The elliptic cylinder function of class K synthetic treatment and computation of tables /Butts, William Henry. January 1908 (has links)
Inaug.diss.Zürich. / "Literature": p. 29.

6 
Curvilinear maximal functionsMarletta, G. January 1995 (has links)
No description available.

7 
Constructive proofs in classical harmonic analysisCarette, Jérôme January 1999 (has links)
1 volume

8 
Constructive proofs in classical harmonic analysisCarette, Jérôme January 1999 (has links)
1 volume

9 
Geometry and constructions of finite framesStrawn, Nathaniel Kirk 15 May 2009 (has links)
Finite frames are special collections of vectors utilized in Harmonic Analysis and Digital
Signal Processing. In this thesis, geometric aspects and construction techniques
are considered for the family of kvector frames in Fn = Rn or Cn sharing a fixed
frame operator (denoted Fk(E, Fn), where E is the Hermitian positive definite frame
operator), and also the subfamily of this family obtained by fixing a list of vector
lengths (denoted Fk
µ(E, Fn), where µ is the list of lengths).
The family Fk(E, Fn) is shown to be diffeomorphic to the Stiefel manifold Vn(Fk),
and Fk
µ(E, Fn) is shown to be a smooth manifold if the list of vector lengths µ satisfy
certain conditions. Calculations for the dimensions of these manifolds are also
performed. Finally, a new construction technique is detailed for frames in Fk(E, Fn)
and Fk
µ(E, Fn).

10 
Die tägliche Variation der magnetischen Deklination eine Untersuchung über die physikalische Bedeutung der harmonischen Analyse ...Nippoldt, Alfred, January 1903 (has links)
Inaug.diss.Göttingen. / Vita.

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