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Jacobi-like forms, pseudodifferentia...

Choie, YoungJu.

Jacobi-like forms, pseudodifferential operators, and quasimodular forms

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Jacobi-like forms, pseudodifferential operators, and quasimodular formsby YoungJu Choie, Min Ho Lee.
作者:	Choie, YoungJu.
其他作者:	Lee, Min Ho.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xv, 296 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Pseudodifferential operators.
電子資源:	https://doi.org/10.1007/978-3-030-29123-5
ISBN:	9783030291235$q(electronic bk.)

Jacobi-like forms, pseudodifferential operators, and quasimodular forms
Choie, YoungJu.

Jacobi-like forms, pseudodifferential operators, and quasimodular forms[electronic resource] /by YoungJu Choie, Min Ho Lee. - Cham :Springer International Publishing :2019. - xv, 296 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

Introduction -- Formal power series and pseudodifferential operators -- Jacobi-like forms and pseudodifferential operators -- Hecke operators -- Lie algebras -- Heat operators -- Group cohomology -- Quasimodular forms -- Quasimodular and modular polynomials -- Liftings of quasimodular forms -- Quasimodular forms and vector-valued modular forms -- Differential operators on modular forms -- Half-integral weight forms -- Projective structures -- Applications of quasimodular forms.

This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient detail, including necessary background on pseudodifferential operators, Lie algebras, etc., to make it accessible also to non-specialists. The book also covers a sufficiently broad range or illustrations of how the main themes of the book have occurred in various parts of mathematics to make it attractive to a wider audience. The book is intended for researchers and graduate students in number theory.

ISBN: 9783030291235$q(electronic bk.)

Standard No.: 10.1007/978-3-030-29123-5doiSubjects--Topical Terms:

247427
Pseudodifferential operators.

LC Class. No.: QA329.7 / .C46 2019

Dewey Class. No.: 515.7242

Jacobi-like forms, pseudodifferential operators, and quasimodular forms
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505 0 $a Introduction -- Formal power series and pseudodifferential operators -- Jacobi-like forms and pseudodifferential operators -- Hecke operators -- Lie algebras -- Heat operators -- Group cohomology -- Quasimodular forms -- Quasimodular and modular polynomials -- Liftings of quasimodular forms -- Quasimodular forms and vector-valued modular forms -- Differential operators on modular forms -- Half-integral weight forms -- Projective structures -- Applications of quasimodular forms.
520 $a This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient detail, including necessary background on pseudodifferential operators, Lie algebras, etc., to make it accessible also to non-specialists. The book also covers a sufficiently broad range or illustrations of how the main themes of the book have occurred in various parts of mathematics to make it attractive to a wider audience. The book is intended for researchers and graduate students in number theory.
650 0 $a Pseudodifferential operators. $3 247427
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