000			04041nam a22005415i 4500
001			978-981-10-2657-7
003			DE-He213
005			20190213151433.0
007			cr nn 008mamaa
008			161011s2016 si | s |||| 0|eng d
020			_a9789811026577 _9978-981-10-2657-7
024	7		_a10.1007/978-981-10-2657-7 _2doi
050		4	_aQA641-670
072		7	_aPBMP _2bicssc
072		7	_aMAT012030 _2bisacsh
072		7	_aPBMP _2thema
082	0	4	_a516.36 _223
100	1		_aKobayashi, Toshiyuki. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aConformal Symmetry Breaking Operators for Differential Forms on Spheres _h[electronic resource] / _cby Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner.
264		1	_aSingapore : _bSpringer Singapore : _bImprint: Springer, _c2016.
300			_aIX, 192 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v2170
520			_aThis work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1). The authors give a complete classification of all such conformally covariant differential operators, and find their explicit formulæ in the flat coordinates in terms of basic operators in differential geometry and classical hypergeometric polynomials. Resulting families of operators are natural generalizations of the Rankin–Cohen brackets for modular forms and Juhl's operators from conformal holography. The matrix-valued factorization identities among all possible combinations of conformally covariant differential operators are also established. The main machinery of the proof relies on the "F-method" recently introduced and developed by the authors. It is a general method to construct intertwining operators between C∞-induced representations or to find singular vectors of Verma modules in the context of branching rules, as solutions to differential equations on the Fourier transform side. The book gives a new extension of the F-method to the matrix-valued case in the general setting, which could be applied to other problems as well. This book offers a self-contained introduction to the analysis of symmetry breaking operators for infinite-dimensional representations of reductive Lie groups. This feature will be helpful for active scientists and accessible to graduate students and young researchers in differential geometry, representation theory, and theoretical physics.
650		0	_aGlobal differential geometry.
650		0	_aTopological Groups.
650		0	_aFourier analysis.
650		0	_aDifferential equations, partial.
650	1	4	_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022
650	2	4	_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132
650	2	4	_aMathematical Physics. _0http://scigraph.springernature.com/things/product-market-codes/M35000
650	2	4	_aFourier Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12058
650	2	4	_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155
700	1		_aKubo, Toshihisa. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aPevzner, Michael. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9789811026560
776	0	8	_iPrinted edition: _z9789811026584
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v2170
856	4	0	_uhttps://doi.org/10.1007/978-981-10-2657-7
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c10669 _d10669