A basis theory primer - Heil, Christopher 1960-; SpringerLink (Online Service). (Boston, Mass. Birkhäuser, 2011)
ANHA series preface--Preface--General notation--Part I. A primer on functional analysis --Banach Spaces and Operator Theory--Functional Analysis--Part II. Bases and Frames--Unconditional convergence of series in Banach and Hilbert spaces--Bases in Banach spaces--Biorthogonality, minimality, and more sbout bases--Unconditional bases in Banach spaces--Bessel sequences and bases in Hilbert spaces--Frames in Hilbert spaces--Part III. Bases and frames in applied harmonic analysis--The fourier transform on the real line--Sampling, weighted exponentials, and translations--Gabor bases and frames--Wavelet bases and frames--Part IV. Fourier series--Fourier series--Basic properties of fourier series--Part V. Appendices--Lebesgue measure and integration--Compact and Hilbert Schmidt operators--Hints for exercises--Index of symbols--References--Index.
Electronic reproduction.
Keywords: Function spaces; Electronic books