{"product_id":"harmonic-analysis-and-boundary-value-mkhitar-m-djrbashian-9783764328559","title":"Harmonic Analysis and Boundary Value Problems in the Complex Domain","description":"1 Preliminary results. Integral transforms in the complex domain.- 1.1 Introduction.- 1.2 Some identities.- 1.3 Integral representations and asymptotic formulas.- 1.4 Distribution of zeros.- 1.5 Identities between some Mellin transforms.- 1.6 Fourier type transforms with Mittag-Leffler kernels.- 1.7 Some consequences.- 1.8 Notes.- 2 Further results. Wiener-Paley type theorems.- 2.1 Introduction.- 2.2 Some simple generalizations of the first fundamental Wiener-Paley theorem.- 2.3 A general Wiener-Paley type theorem and some particular results.- 2.4 Two important cases of the general Wiener-Paley type theorem.- 2.5 Generalizations of the second fundamental Wiener-Paley theorem.- 2.6 Notes.- 3 Some estimates in Banach spaces of analytic functions.- 3.1 Introduction.- 3.2 Some estimates in Hardy classes over a half-plane.- 3.3 Some estimates in weighted Hardy classes over a half-plane.- 3.4 Some estimates in Banach spaces of entire functions of exponential type.- 3.5 Notes.- 4 Interpolation series expansions in spacesW1\/2, ?p, ?of entire functions.- 4.1 Introduction.- 4.2 Lemmas on special Mittag-Leffler type functions.- 4.3 Two special interpolation series.- 4.4 Interpolation series expansions.- 4.5 Notes.- 5 Fourier type basic systems inL2(0, ?).- 5.1 Introduction.- 5.2 Biorthogonal systems of Mittag-Leffler type functions and their completeness inL2(0, ?).- 5.3 Fourier series type biorthogonal expansions inL2(0, ?).- 5.4 Notes.- 6 Interpolation series expansions in spacesWs+1\/2, ?p, ?of entire functions.- 6.1 Introduction.- 6.2 The formulation of the main theorems.- 6.3 Auxiliary relations and lemmas.- 6.4 Further auxiliary results.- 6.5 Proofs of the main theorems.- 6.6 Notes.- 7 Basic Fourier type systems inL2spaces of odd-dimensional vector functions.- 7.1 Introduction.- 7.2 Some identities.- 7.3 Biorthogonal systems of odd-dimensional vector functions.- 7.4 Theorems on completeness and basis property.- 7.5 Notes.- 8 Interpolation series expansions in spacesWs, ?p, ?of entire functions.- 8.1 Introduction.- 8.2 The formulation of the main interpolation theorem.- 8.3 Auxiliary relations and lemmas.- 8.4 Further auxiliary results.- 8.5 The proof of the main interpolation theorem.- 8.6 Notes.- 9 Basic Fourier type systems inL2spaces of even-dimensional vector functions.- 9.1 Introduction.- 9.2 Some identities.- 9.3 The construction of biorthogonal systems of even-dimensional vector functions.- 9.4 Theorems on completeness and basis property.- 9.5 Notes.- 10 The simplest Cauchy type problems and the boundary value problems connected with them.- 10.1 Introduction.- 10.2 Riemann-Liouville fractional integrals and derivatives.- 10.3 A Cauchy type problem.- 10.4 The associated Cauchy type problem and the analog of Lagrange formula.- 10.5 Boundary value problems and eigenfunction expansions.- 10.6 Notes.- 11 Cauchy type problems and boundary value problems in the complex domain (the case of odd segments).- 11.1 Introduction.- 11.2 Preliminaries.- 11.3 Cauchy type problems and boundary value problems containing the operators $$ {\\mathbb{L}_{s + 1\/2}}$$ and $$ \\mathbb{L}_{s + 1\/2} *$$.- 11.4 Expansions inL2{?2s+1(?)} in terms of Riesz bases.- 11.5 Notes.- 12 Cauchy type problems and boundary value problems in the complex domain (the case of even segments).- 12.1 Introduction.- 12.2 Preliminaries.- 12.3 Cauchy type problems and boundary value problems containing the operators $${{\\mathbb{L}}_{s}} $$ and $$ \\mathbb{L}_{s} *$$.- 12.4 Expansions inL2{?2s(?)} in terms of Riesz bases.- 12.5 Notes.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mkhitar M. Djrbashian,M. M. Djrbashian\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 376432855X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783764328559\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/01\/1993\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 278\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.42lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.61h x 6.69w x 0.69d","brand":"Mkhitar M. Djrbashian","offers":[{"title":"Hardcover","offer_id":48136986853631,"sku":"9783764328559","price":99.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_70fe0b05-9656-444c-b0a9-fd48499a11dc.jpg?v=1770165785","url":"https:\/\/www.whiterainbookhouse.com\/products\/harmonic-analysis-and-boundary-value-mkhitar-m-djrbashian-9783764328559","provider":"WR Book House","version":"1.0","type":"link"}