00000cmm a22000004a 4500 UP-99796217611190561 Buklod 20230215085534.0 m go j cr cn |||aaaaa 101109s2011 xxu u | eng d 9780817646875 (eBook) 0817646876 (eBook) (iLib)UPD-00214607372 DLC DML eng DMLUC QA 323 H45 2011eb Heil, Christopher 1960- A basis theory primer [electronic resource] Christopher Heil. Expanded ed. Boston, Mass. Birkhäuser 2011. 1 online resource (xxv, 534 p.) ill. Applied and numerical harmonic analysis 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. IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. Electronic reproduction. New York Springerlink c2011. Available via World Wide Web through SpringerLink. Function spaces. Electronic books. SpringerLink (Online Service). Electronic Resource Available for the University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-0-8176-4687-5 FO Monograph UPD DMLR Electronic Resource